Each photon's momentum in the light beam is p=h=632. 8106. The first gas laser was the helium-neon laser.
Although the first laser transitions were in the near infrared, the red laser, with a wavelength of 632.8 nm, is now the most widely employed transition. This laser is offered in lengths ranging from around 10 cm to more than 100. For longer wavelength lines, helium-neon lasers with a 1- to 10-m W output at 543 nm (green), 595 nm (yellow), or 633 nm provide an option to krypton ion lasers (red). A helium-neon laser can produce light with a power output of 1 mW at a wavelength of 632.8 nm.
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freddy frog drops vertically from a tree onto a horizontally-moving skateboard. the reason he doesn't slip off the skateboard is due to
The reason the frog doesn't slip is the friction between his feet and the board
Friction is the force that opposes the relative motion between two surfaces that are in contact. In the case of a skateboard, the static friction between the feet and the board helps to keep someone from slipping off when the skateboard is not moving. Once the skateboard begins to move, the static friction changes to kinetic friction and helps to keep it from slipping off as the skateboard moves.
The amount of friction between two surfaces depends on the nature of the surfaces and the force with which they are pressed together. Thus, when the Freddy frog drops vertically and lands on a skateboard, the friction between his feet and the surface of the skateboard helps to keep him from slipping off.
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need helping getting the answer
an airplane pilot wishes to fly due west. a wind of 88.0 km/h is blowing toward the south.
The pilot should head 12.09 degrees clockwise to the west direction.
The actual velocity of plane over ground is calculated to be 410.34 km/hr.
This question can be solved using the concept of resolution of vectors.
Any vector that is oriented at an angle to the horizontal (or vertical) can be thought of as having two parts: the direction vector and the tangent vector, according to the definition of a vector (or components). In other words, any vector with a two-dimensional direction may be conceived of as having two pieces.
a) Let us assume that the plane moves at an angle θ (clockwise to the west direction).
Let the velocity of plane be given by '[tex]v_{a} \\[/tex]'. Now this velocity [tex]v_{a}[/tex] has two components.
According to the figure
[tex]v_{a}[/tex]sinθ= [tex]v_{w}[/tex]
here [tex]v_{a}= 420 km/hr[/tex]
[tex]v_{w}= 88 km/hr[/tex]
420 sinθ= 88
sinθ= [tex]\frac{88}{420}[/tex]= 0.209
which gives θ= 12.09 degrees
b) The actual velocity of the plane over ground is given by [tex]v_{a}[/tex]cosθ
v= 420cos(12.09)= 420×0.977= 410.34 km/hr
Complete question:
An airplane pilot wishes to fly due west. A wind of 88.0 km/h is blowing toward the south. A. If the airspeed of the plane (its speed in still air) is 420.0 km/h , in which direction should the pilot head?
B. What is the speed of the plane over the ground?
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Fig. 23-11 how the variation of the electric potential V (meaured in Volt) a a function of the radial direction r (meaured in meter). For which range of r i the magnitude of the electric field the larget?
As you walk away from the charge, the potential becomes less negative and actually grows, coming closer and closer to zero.
If you are infinitely far away from the charge, the potential for both positive and negative charges is zero. The electric potential (also known as the electric field potential, potential drop, or electrostatic potential) is defined as the amount of work energy required to transport a unit of electric charge in an electric field from a reference point to a specified place. The Volt difference dropped across a fixed resistance of one ohm with a current of one ampere running through it is the unit of potential difference formed between two locations.
dV
V=5x \s2 \s −10x−9
dx dV \s \s
=10x−10
so, E=−(10x−10)
The value of E=(1010)
=0V/m for
x=1m
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Find the slope in the x-direction at the point P(0,2,f(0,2)) on thegraph of f when f(x,y)=2(2x+y)e-xy
-4 is the slope in the x-direction at the point (0,2) on the given graph.
what is Slope of a given curve?A curve's slope at a given point is the same as the slope of the straight line that is perpendicular to the curve there.
To find the slope along x direction is given by:
slope along x-direction= δ(f(x))/δ(x)
=> δ([tex]2(2x+y)e^-^x^y[/tex])/δ(x)
=> 4[tex]e^-^x^y[/tex] - [tex]2y(2x+y)e^-^x^y[/tex]
we have to find the value of slope at point (0,2)
so the value of x=0 and y=2 in the above equation we get:
=> 4 [tex]e^2^*^0 -2*2(2*0+2)*e^2^*^0[/tex]
=> 4 - 4( 0 +2) *1
=>4-8
=>-4
so the slope along x-axis at point (0,2) is -4.
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you replace a 100-watt light bulb with a 25-watt compact fluorescent bulb. over a 10,000 hr life, how much energy, in kilowatt-hours, do you save? if electricity costs $0.15 per kilowatt-hour how much money do you save?
If you replace a 100-watt light bulb with a 25-watt compact fluorescent bulb, over a 10,000 hr life, you will save electricity bill of $112,5
A fluorescent bulb is more energy efficient than an incandescent bulb. It produces the same amount of light with less electricity.
The energy used by the bulbs is often expressed in Kwh or kilowatt-hour.
The formula is:
Kilowatt-hours = power (in kilowatt) x time usage (in hours)
In the given problem:
Time usage = 10,000 hours
Light bulb:
Power = 100 watt = 0.1 kw
kwh = 0.1 x 10,000 = 1,000 kwh
electricity bill = 1000 kwh x $0.15/kwh = $150
fluorescent bulb
Power = 25 watt = 0.025 kw
kwh = 0.025 x 10,000 = 250 kwh
electricity bill = 250 kwh x $0.15/kwh = $37,5
Money save = $150 - $37,5 = $112,5
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the vibrations of a transverse wave move in a direction a. along the direction of wave travel. b. at right angles to the direction of wave travel. c. that changes with speed. d. opposite to the velocity.
Correct answer is b. at right angles to the direction of wave travel
The vibrations of a transverse wave move in a direction "at right angles to the direction of wave travel." The correct option is B.
What is a transverse wave?A transverse wave is a type of wave where the particles of the medium vibrate perpendicular to the direction of wave propagation. In other words, the motion of the medium is at right angles to the direction in which the wave moves. The term "transverse" is derived from the Latin word "transversus", which means "across".
Examples of transverse waves include light waves, electromagnetic waves, and seismic S-waves. In a transverse wave, the displacement of particles in the medium is perpendicular to the direction of the wave. This type of wave can be described by its amplitude, wavelength, frequency, and speed.
The amplitude of a transverse wave is the maximum displacement of the particles from their equilibrium position. The wavelength is the distance between two successive points in the medium that are in phase with each other. The frequency is the number of waves that pass a given point in the medium per unit time. The speed of a transverse wave is determined by the properties of the medium, such as its density and elasticity.
One interesting property of transverse waves is that they can undergo polarization, which is the process of filtering out waves that vibrate in a certain direction. This is commonly used in polarized sunglasses to reduce glare from reflective surfaces.
Therefore, transverse waves are a type of wave where the particles of the medium vibrate perpendicular to the direction of wave propagation. They are characterized by their amplitude, wavelength, frequency, and speed, and can undergo polarization. Transverse waves have important applications in fields such as optics, communication, and seismology.
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thermal expansion, pressure release, and mineral, frost, and root wedging all are weathering processes.
Mechanical weathering mechanisms include pressure release, thermal expansion, frost and root wedging. Weathering that occurs mechanically is sometimes called physical weathering.
This is typically referred to as thermal expansion. The fractional change in volume or length per unit change in temperature can be referred to as thermal expansion. Typically, the linear expansion coefficient is used when dealing with a solid expansion. The force perpendicular to an object's surface that is delivered per unit area over that force is known as pressure (symbol: p or P). The gauge pressure, also known as gauge pressure, is the pressure in relation to the surrounding air pressure. To express pressure, a variety of units are employed.
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The complete question is -
Thermal expansion, pressure release, and mineral, frost, and root wedging all are ________ weathering processes.
sound is emitted by 20 w speaker (which propagates in all directions). what is the intensity in decibels at 10 m? 100m?
The intensity of sound in decibels at 10 m is 17.6 dB.
The intensity of sound in decibels at 100 m is 14.08 dB.
The formula to calculate intensity when power is given is I = P/A
where, I is the intensity
P is the power
A is the area
Given, P = 20 W
A₁ = 4πr² = 4π* 10² = 1256.64 m²
A₂ = 4πr² = 4π* 100² =125663.71 m²
I₁ = P / A₁ = 20/1256.64 = 0.0159 W/m²
I₂ = P / A₂ = 20/125663.71 = 0.000159 W/m²
The expression between intensity of sound and decibel level is
dB = 10* log (I/ 1.0* 10⁻¹² W/m²) --------(1)
Substituting the values of I₁ and I₂ in (1),
dB₁ = 10* log (1.5* 10⁻²/ 1.0* 10⁻¹²) = 10* log(1.5* 10¹⁰) = 10* [ log 1.5 + 10] = 10*(0.176* 10) = 17.6 dB
dB₂ = 10* log (1.5* 10⁻⁴/ 1.0* 10⁻¹²) = 10* log(1.5* 10⁸) = 10* [ log 1.5 + 8 ] = 10*(0.176* 8) = 14.08 dB
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a system releases 425 kj og heat and does 307 kj of work on the surroundings in the process. what is the change in the internal energy of the system
A system produces 307 kj of work for the environment while releasing 425 kj of heat. The system's internal energy changes as 118kj
According to the first law of thermodynamics, heat is a form of energy, and consequently, thermodynamic processes are governed by the idea of conservation of energy. Heat energy cannot be created or destroyed, so it makes sense.
Given that heat released by system (Q) = -425kj as heat is released
Work done by the system (W) = -307kj
internal energy change in the system is ΔU
ΔU = Q + W = -425 + (-307) = -732kj
Because we know from conservation of energy Q>0 and W<0
There is decrease in internal energy
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a hunter aims directly at a target (on the same level) 120.0 m away. if the bullet leaves the gun at a speed of 250m/s, by how much will it miss the target?
The distance the bullet will miss the target is 1.13 m.
The initial velocity of the bullet = 250 m/s
Distance of the target = 120 m
Calculating the time of motion -
= Distance of the target/ Initial velocity of the bullet
= 120 / 250
= 0.48 s
During this time the bullet is under gravitational pull. It is the force that two objects with mass exert on each other. This force is a fundamental force of nature and is responsible for the attraction between objects with mass. The strength of the gravitational pull between two objects is determined by their masses and the distance between them.
Thus, calculating the distance it will miss the target using the equation -
Y = V₀y + ¹/₂gt²
where;
V₀y is the initial vertical velocity = 0
Therefore, substituting the values -
Y = 0+ ¹/₂gt²
= ¹/₂(9.8)(0.48)²
= = ¹/₂(9.8)(0.2304)
= 1.13
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a ball is launched up in the air from ground level with a velocity of 12 m/s. what is its velocity when it hits the ground?
Initial speed (vo) equals 12 m/s, and gravity (g) equals -9.8 m/s. When it lands, it will have a velocity of 2.
What is an easy way to define velocity?A particle or object's movement with the passage of time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the acknowledged unit of velocity magnitude.
Why does velocity formula exist?According to the equation v = s/t, rate of change (v) is a dimensionless number that quantifies displacement (or a shift in position, s), over change in time (t).
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how much heat transfer (in j) occurs from a system if its internal energy decreased by 300 j while it was doing 16.0 j of work? (enter the magnitude.)
The system released 134 J of energy into the surrounding while doing 16 J of work.
What is energy ?
The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work."
We use thermodynamics principles in this situation. There are already obtained relationships for intense properties like internal energy (U), heat transfer (Q), and work (W) that were based on differential equations. The formula is
ΔU = Q + W
But since these factors depend on their signs, we must remember to take them into account. Van Ness, Smith, and Abbott assert that declining has a negative sign convention. If work is being done ON the system, the sign is positive; however, if work is being done BY the system, the sign is negative. in this instance,
ΔU = -150 J
W = -16 J
Then , we can determine Q as follows
- 150 J = Q - 16 J
Q = - 134 J
Thus 134 J of heat of released by the system into the surroundings.
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On route to senior prom, a couple was cut off by another car. The couple traveling 21 m/s slammed on the breaks and slowed to a speed of 8 m/s in a time of 1.4 seconds. What was the couple’s acceleration?
1) -9.3 m/s^2
2) 9.3 m/s^2
3) 18 m/s^2
4) -18 m/s^2
5) answer not shown
Answer: (1) a = -9.3 m/s^2
Explanation:
a = Δv/Δt
a = (8 m/s - 21 m/s)/(1.4 s)
a = -9.3 m/s^2
A block is released from rest on an inclined
plane and moves 3.4 m during the next 5.5 s.
The acceleration of gravity is 9.8 m/s^2
What is the frictional force acting on the
13 kg mass?
Answer in units of N.
The frictional force acting on the 13 kg mass is 40.65 N.
What is the acceleration of the block?
The acceleration of the block is calculated by applying the following kinematic equation as shown below.
s = ut + ¹/₂at²
where;
u is the initial velocity of the block = 0t is the time of motion of the blocka is the acceleration of the blocks is the distance travelled by the blocks = 0 + ¹/₂at²
¹/₂at² = s
at² = 2s
a = 2s / t²
a = (2 x 3.4) / (5.5²)
a = 0.225 m/s²
The frictional force acting on the 13 kg mass is calculated as follows;
W sinθ - F = ma
where;
W is the weight of the blockθ is the angle of inclination of the blockF is the frictional forcem is the mass of the blocka is the acceleration of the block(13 x 9.8 x sin20) - F = 13 x 0.225
43.57 - F = 2.925
F = 43.57 - 2.925
F = 40.65 N
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an atom of chlorine is represented by 3717cl. how many neutrons are in the nucleus of this atom?
carlton is experimenting with different shutter speeds. he takes a photo of cars driving by at 1/8 second shutter speed, 1/2 second shutter speed, 1/30 second shutter speed, and 1/500 second shutter speed. based on what you know about shutter speeds, which speed will create the clearest image of the moving cars?
Excellent for capturing fast-moving objects in great focus with minimal motion blur and with less ambient light in the environment.
A value of 1/250s or less is considered quick. When we say 1/250s, we imply one hundred and fifty-seconds. A shutter speed of 1/500s indicates that the shutter is open for one-fifth of a second. 1/250s is quicker than 1/500s. If the shutter speed is not a fraction (i.e. it is more than a second), it is sometimes preceded by a quote mark or " — for example, 8" is an eight second shutter speed while 8 is a 1/8 second shutter speed. The shutter speed is frequently displayed on cameras with a top-mounted LCD screen.
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Based on your observations, which of the following factors affect the trajectory of an object or body in flight? Select all that apply. Projection angle Mass of the object Size (diameter) of the object Height of the object at take-off Initial velocity
On the basis of the observation the factors that affect the trajectory of an object in flight is the projection angle and initial velocity.
The equation of the trajectory of the path thrown at some angle is given as,
Y = xtanA - gx²/2v²cos²A
Here,
Y is the vertical displacement, x is the horizontal displacement while g is the gravitational acceleration, V is the initial velocity and A is the angle at which the particle is thrown.
Among all the factors given the trajectory of the particle only depends on the projection angle and the initial velocity of the particle.
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the physical structure of a(n) ? consists of two conducting surfaces separated by an insulating material.
The physical structure of capacitor consists of two conducting surfaces separated by insulating material.
What is capacitor?Capacitor is a device that stores electrical energy in an electric field by the virtue of accumulating electric charges on two close surfaces insulated from each other. It is a passive electronic component with two terminals and the effect of capacitor is known as capacitance
Capacitor works on the principle that the capacitance of a conductor increases when earthed conductor is brought near it. Therefore, capacitor has two plates that are separated by a distance having equal and opposite charges. The properties of capacitors are: working voltage, tolerance, working temperature and temperature coefficient.
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assume the support at b is a roller. point c is located just to the right of the f = 8-kip load.
The internal normal force, shear force, and moment at point C are as bellow,
normal force =0
shear force at C= -1 kip
and moment at C=56 kip- ft
As per the details share in the above question are as bellow,
The support at b is a roller.
Point c is located just to the right of the f = 8-kip load.
From equilibrium equation we get,
[tex]& \Sigma M_A=0[/tex]
8 X 8 -40 -RB X 24=0
Rb=1 kip
Also,
[tex]& \sum F_y=0 \\& R_A-8+R_B=0[/tex]
RA= 7 kip
So, the normal Force Nc,
As there is no axial force present,
Nc=0
That is normal point at C.
Further the shearing force Vc,
Vc=RA-F
Substitute the value in above equation we get,
Vc=7-8=-1
Vc=-1 kip
Now the moment at Mc,
Mc=Ra x 8
Substitute the value in above equation we get,
Mc= 7 x 8
Mc= 56 kip- ft
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Note :- The correct question would be,
Assume the support at B is a roller. Point C is located just to the right of the F = 8-kip load. Determine the internal normal force, shear force, and moment at point C.
the threads of a screw used to fasten two pieces of wood are pitched at an angle. how does this increase the static friction force?
In a case whereby the threads of a screw used to fasten two pieces of wood are pitched at an angle this will increase the static friction forceD By decreasing the coefficient of static friction between the screw and the wood.
How can this be explained?It should be noted that the greater the thread angle, the greater the angle between the load vector as well as the surface normal, hence the the normal force between the threads required to support a given load will be larger.
It should be nopted that the here will be increase in the thread angle as well as the friction and wear of a screw.
Therefore, option D is correct.
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misssing options:
A By decreasing the surface area between the screw surface and the wood
B By increasing the ease of inserting the screw into the wood
C By increasing the normal force exerted by the wood on the screw thread
D By decreasing the coefficient of static friction between the screw and the wood
if the demand function for money is m/p = 0.5y – 100r, then the slope of the lm curve is:
As a result, the slope of the LM curve is 0.005.
The ratio of the income sensitivity of real money demand over the interest sensitivity of real money demand determines the slope of the LM curve, which is represented by the coefficient of Y, k over h. With regard to monetary policy, this ratio is crucial.
The money supply function has an impact on the LM curve as well. The supply of money may become more susceptible to interest rates in the current environment of high levels and volatility of interest rates.
The general LM equation is written in terms of Y and r,
Where Money supply = Money demand,
0.5Y – 100r = (M/P) where (M/P) is a constant
100r = 0.5Y - (M/P)
r = 0.005Y - 0.01(M/P)
dr/dY = 0.005 is the slope of the LM function.
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What is the magnitude of the net force on the first wire in (figure 1)? express your answer in newtons
0.00025 N is the magnitude of the net force on the first wire in (figure 1).
What is net force?The total of all forces exerted on an item is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there are a lot of forces acting on a system, the phrase "net force" is employed.
From the diagram, first wire has an attracting force from third wire at 0.04 m distance and a repelling force from second wire at 0.02 m distance.
Expression of the force is -
F = [µ ×π×(I)² × L] / (2πd)
When d = 0.02 m,
or, F = [4 ×π× 10⁻⁷(10)² × 0.50] / (2π × 0.02)
or, F = 0.0005 N
And when d = 0.04 m,
or, F = [4 ×π× 10⁻⁷(10)² × 0.50] / (2π × 0.04)
or, F = 0.00025 N
So, the net force on first wire = 0.005 - 0.00025
= 0.00025 N repelling or upward.
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The complete question is as follows:
What is the magnitude of the net force on the first wire in (Figure 1)?
Express your answer in newtons.
a graphical presentation that uses vertical bars to display the magnitude of quantitative data is known as a
A graphical presentation that uses vertical bars to display the magnitude of quantitative data is known as a Column chart.
What is a Column chart?Column charts make use of vertical bars to compare several objects or categories. On one axis are the comparison categories, while on the other are the data values. They are helpful in illuminating the conditions at a specific time. Anything that can be counted, such the volume of items sold or website hits, can be represented in a column chart.
Using column charts, you may show how various numbers differ from one another. When there are significant differences in the data values, column charts—which are used to compare changes between groups over time—are easiest to understand.
If there are several categories to compare, a line graph could be easier to comprehend.
Column charts can be created using standard, stacked, or percentage forms. It is simpler to compare and identify trends in the data because the same data is presented in each format in a different way. The steps for creating conventional, stacked, and percentages charts are the same regardless of the outcome.
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rate of turn can be increased and radius of turn decreased by a. decreasing airspeed and increasing the bank. b. increasing airspeed and increasing the bank. c. decreasing airspeed and shallowing the bank.
The rate of turn can be increased and the radius of turn decreased by decreasing airspeed and shallowing the bank. Option C.
Turn radius depends on both airspeed and bank angle. The turning radius at any bank angle is directly proportional to the airspeed squared. Doubling the airspeed quadruples the turning radius, and trebling the airspeed quadruples the radius.
During a constant banked turn, increasing airspeed will decrease turn speed and increase turn radius. Airplanes fly fast, but the distance they fly is faster than their speed. As a result, it takes longer to complete a turn and slows down the turn.
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two initially uncharged metal spheres are mounted on insulating stand and placed in contact with each other, as shown. a student brings a positively charged insulating rod near sphere 1, sphere 2 is then removed, and finally the rod is moved away. what is the net charge on sphere 1?
They represent a simple explanation of our basic charge interactions, best recognized by the jingle "opposites attract, likes repel."
B and C are also untrue for the same reason; they contradict the fundamental statement of charge interactions. E and H are correct. To become charged, an object must either gain or lose electrons. Losing electrons causes more positive charge than negative charge, resulting in a positively charged item. Gaining electrons causes more negative charge than positive charge, resulting in a negatively charged item. Protons are securely linked in atom nuclei and can never be added or withdrawn by regular electrostatic means. The same argument leads to the rejection of options F and G as possible true.
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consider the standing wave on a guitar string and the sound wave generated by the guitar as a result of this vibration. what do these two waves have in common?
The frequency between them is equal. A guitar string vibrates transversely when it is plucked, whereas the sound it makes creates a longitudinal wave in the atmosphere.
When a string is plucked, the bridge transmits the vibration, which reverberates throughout the top of the guitar. Additionally, it travels to the instrument's back and sides before resonating through the body's air and emitting sound out the sound hole. The traces on the diagram connect at nodes, which are places in the standing wave pattern where the string is completely stationary. Antinodes, where the string goes up and down the most, are seen in between nodes.
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how long must a simple pendulum be if it is to make exactly one swing per two seconds? (that is, one complete oscillation takes exactly 4.0 s .)
8T s long must a simple pendulum be if it is to make exactly one swing per two seconds (that is, one complete oscillation takes exactly 4.0 s .)
The recurrent or periodic change of a quantity around a central value (often an equilibrium point) or between two or more different states is known as oscillation. Alternating current and a swinging pendulum are two common examples of oscillation. In physics, oscillations can be used to simulate complex interactions like those between atoms. The beating of the human heart (for circulation), business cycles in economics, predator-prey population cycles in ecology, geothermal geysers in geology, vibration of strings in guitars and other string instruments, periodic firing of nerve cells in the brain, and the periodic swelling of Cepheid variable stars in astronomy are just a few examples of dynamic systems that oscillate outside of mechanical systems. When the spring is static, the system is in an equilibrium state. In the event that the system deviates from equilibrium, there is a net restoring force acting on the mass that tends to return it to equilibrium. The mass has gained momentum as a result of being moved back to the equilibrium point, which keeps it moving past it and creates a fresh restoring force in the opposite direction.
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discuss the measurement in detail and explain how you could use the search coil oscilloscope to measure the current passing through the large coil.
There are two methods of measurement of current with an oscilloscope. They are
A) Measure the voltage drop across a shunt resistor and
B) Measure the current with a current probe
A) If a current sense resistor is designed into the DC power supply, this is the most convenient approach.
Measuring the voltage drop across the sense resistor with an active differential probe will provide good results as long as the common mode signal is within the probe's specified operating range and the voltage drop is large enough. However, using a differential probe on low level signals requires some attention to the noise reduction in the measurement system.
B) Current flow through a conductor causes an electromagnetic flux field to form around the conductor. Current probes are designed to sense the strength of this field and convert it to a corresponding voltage for measurement by an oscilloscope.
This allows you to view and analyse current waveforms with an oscilloscope. When used in combination with an oscilloscope's voltage measurement capabilities, current probes also allow you to make a wide variety of current measurements.
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determine the force in member cg. the force is positive if in tension, negative if in compression.
The force in member CG will be -3 kN
Solving for 3 support reactions may be done using conditions for equilibrium for the complete truss.
At a joint, forces in opposing members that connect in two straight lines are equal. When a load is aligned with a third member, the forces in two opposing members are equal.
A system must meet the three equations of equilibrium, Sum Fx = 0, Sum Fy = 0, and Sum M = 0, in order to be in equilibrium. Start with the equations for the sum of the forces. Dividing the diagonal forces into their component parts would be the most straightforward technique to solve these force systems.
If R_A be the vertical reaction generated at A.
Taking MF=0
[tex]& \Rightarrow R_A \times 5 \times 2.7-10 \times 3 \times 2.7-16 \times 2 \times 2.7=0 . \\& \Rightarrow R_A=12.4 kN .[/tex]
Now, cutting the truss by Section XX unto two for analysing the equilibrium of the lift side
for equilibrium
[tex]$$\begin{aligned}& \sum V=0 \\& \Rightarrow R_A-10-F_{CG} \times \cos \theta=0\end{aligned}$$[/tex]
where F_{CE}= force in CG and is assumed tensile
So, the value of the angle of cosine will be:
[tex]$$\cos \theta=\frac{3.6}{\sqrt{3.6^2+2.7^2}}=\frac{3.6}{4.5}=0.8 \text {. }$$[/tex]
[tex]\Rightarrow \quad 12.4-10-F_{69} \times 0.8=0\\\\\Rightarrow F_{c g}=\frac{-2.4}{0.8}=-3 \mathrm{kN}\\\\\Rightarrow F_{CG=}=-3 \mathrm{kN} \quad\left\{\begin{array}{l}\text { negative means } \\ \text { compression }\end{array}\right\}[/tex]
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The required diagram is attached below: