thin-straight uniform rod of length 0.85 m hangs from a pivot at the end of the rod. what is the period of oscillation? (include units with answer) a: 1.51 s c: 1.510 s 1 hint available

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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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 Protons are securely linked in atom nuclei and can never be added or withdrawn by regular electrostatic means.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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Answer:

boiling point

Explanation:

In the case of boiling point, the presence of solute particles in a solution causes the boiling point of the solution to be higher than that of the pure solvent. This is because the solute particles interfere with the movement of the solvent molecules, making it more difficult for them to escape from the surface of the solution and enter the gas phase.

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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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.

Thermal efficiency if the gas volume is halved during the adiabatic compression n=24%

Any thermal cycle's efficiency is expressed as:

                                    [tex]n=1-\frac{Tc}{Th}------(1)[/tex]

We know that for an adiabatic process:

[tex]p^{v^{Y} }=const[/tex]

From the first law, we may express pressure in terms of temperature.

[tex]p^{v} =nRT\\\\p=\frac{nRT}{v} \alpha Tv^{-1}[/tex]

As a result, we have the following for an adiabatic process:

[tex]Tv^{Y-1} =const[/tex]

Step: 2 Equating:

Let us now calculate a temperature ratio based on the volume ratio:

[tex]TcVc^{Y-1} =ThVh^{y-1}[/tex]

We get that:

[tex]\frac{Tc}{Th} =\frac{Vh^{Y-1} } {Vc^{Y-1} } =(\frac{Vh}{Vc} )^{Y-1}[/tex]

Finding the value of Efficiency:

The Efficiency will be,

[tex]n=1-(\frac{Vh}{Vc}) ^{Y-1} \\\\n=1-(\frac{1}{2} )^{1.40-1}[/tex]

n=24%

∴The thermal efficiency n=24%

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-4 is the slope in the x-direction at the point (0,2) on the given graph.

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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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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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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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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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

The correct option is (a) i.e. a galaxy in the local group, galaxies is likely to be oldest.

A galaxy is a collection of stars, stellar remains, interstellar gas, dust, and dark matter that are gravitationally bonded together. The name comes from the Greek word galaxias, which means "milky" and refers to the Milky Way galaxy, which houses the Solar System. Galaxies, which contain an average of 100 million stars, range in size from dwarfs, which contain fewer than 100 million stars, to supergiants, which contain 100 trillion stars, all of which orbit the galaxy's center of mass. Only a small percentage of the mass in a normal galaxy is visible in the form of stars and nebulae; the majority of the galaxy's mass is dark matter. Supermassive black holes are a typical component of galaxy centers. According on their optical shape, galaxies are classified as elliptical, spiral, or irregular. It is believed that the nuclei of many of them contain supermassive black holes. Sagittarius A*, the name of the Milky Way's primary black hole, is four million times more massive than the Sun. GN-z11 is the oldest and furthest away galaxy as of March 2016. It can be seen as having existed only 400 million years after the Big Bang and is located 32 billion light-years away from Earth.

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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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The physical structure of capacitor consists of two conducting surfaces separated by insulating material.

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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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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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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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 basic simple harmonic oscillator completes 5 full vibrations in 12.0 seconds. Its motion has a period of 2.40 seconds, a frequency of 0.417 Hz, and an angular frequency of 2.62 rad/s.

We may calculate the period and, thus, the frequency by measuring the length of one full oscillation. The motion's frequency, f = 1/T = /2, determines how many complete oscillations occur in a given amount of time.

(a)Given that time taken for an oscillator to undergo 5 complete vibrations (t) = 12s

Period = time taken/total number of vibrations(T) = 12/5 = 2.40s

(b) frequency is inversely proportional to time. So f = 1/T

f = 1/2.40 = 0.417Hz

(c) the angular frequency is calculated as  ω=2πf

ω=2x(3.14)x0.417 = 2.62 rad/s

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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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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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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.

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.

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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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 spring constant of the spring to which a block is attached and the spring is compressed initially and then released is 16.67 N/m.

According to Hooke's Law,

When a spring is stretched, the force applied is proportional to the lengthening from the equilibrium length.

The formula k = -F/x, where k is the spring constant, can be used to get the spring constant. F stands for force, and x is for the variation in spring length.

As per the Law of Conservation of Energy

Energy follows the principle of conservation when it is moved from one form to another.

So, initial energy = final energy

=> 1/2 * k * x² = 1/2 * m * v²

where k is the spring constant

Compression of the spring = 0.75 m

m = Mass of the block = 1.5 kg

v = velocity of the block = 2.5 m/s

So, from the above expression

1/2* k * (0.75)² = 1/2* (1.5)* (2.5)²

k * (0.75)² = (1.5)* (2.5)²

k = [(1.5)* (2.5)²]/(0.75)² = 9.375/0.5625 = 16.67 N/m

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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.

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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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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Even among atoms of the same element, the number of neutrons might vary. Atoms of the same element that have different numbers of neutrons but the same number of protons are called isotopes.

The only difference between identical chemical element atoms of various isotopes is the amount of neutrons in the nucleus.

Isotopes are variations in the mass number, "A," of an element's atoms that share the same number of protons (atomic number, "Z") but a different number of neutrons. Consider hydrogen as an example. It has the isotopes 1H, 2H, and 3H in its naturally occurring form.

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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:

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.

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