A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 17° and β = 27°. find the numeric value of the T1 and T2 in new ton?
The equilibrium condition allows finding the result for the tensions of the cables that support the block are:
T₁ = 245.1 N and T₂ = 263.1 N
Newton's second law establishes a relationship between the net force, the mass and the acceleration of the bodies, in the special case that the acceleration is zero is called the equilibrium condition.
∑ F = 0
Where F is the force.
A free body diagram is a diagram of the forces without the details of the bodies, in the attachment we can see a free body diagram of the system.
Let's write the equilibrium condition for each axis.
x-axis
T₂ₓ - T₁ₓ = 0
T₂ₓ = T₁ₓ
y-axis
[tex]T_{1y} + T_{2y} - W =0[/tex]
We use trigonometry to find the components of stress.
cos 17 = [tex]\frac{T_{1x}}{T_1}[/tex]
sin17 = [tex]\frac{T_{1y}}{T_1y}[/tex]
T₁ₓ = T₁ cos 17
[tex]T_1_y[/tex] = T₁ sin 17
cos 27 = [tex]\frac{T_2_x}{T_2}[/tex]
sin27 = [tex]\frac{T_2_y}{T_2}[/tex]
T₂ₓ = T₂ cos 27
[tex]T_{2y}[/tex] = T₂ sin 27
We substitute.
T₂ cos 27 = T₁ cos 17
T₂ sin27 + T₁ sin17 = W
We solve the system.
[tex]T_1 \frac{cos 17 \ sin 27}{cos 27} + T_1 sin 17 = m g \\T_1 ( tan 27 cos 17 + sin 17) = 19.5 \ 9.8[/tex]
T₁ (0.7796) = 191.1
T₁ = 245.1 N
We look for the T₂ tension.
T₂ = [tex]T_1 \ \frac{cos 17 }{cos 27}[/tex]
T₂ = 245.1 [tex]\frac{cos 17}{ cos 27}[/tex]
T₂ = 263.1 N
In conclusion, using the equilibrium condition we can find the result for the tensions of the cables that the block supports are:
T₁ = 245.1 N and T₁ = 263.1 N
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Where does the energy of a breaking wave originate?
Answer:
Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest.
Explanation:
What is displacement?
Displacement means when you move something from its original position. Let's say you want to sit on a chair. You move the chair from where it was originally placed. That's displacement.
Calculate the density of a marble at 16 g and has a volume of 8cm 3
Answer:
16g/8cm3 = 2g/cm3 or 2x106g/m3
Explanation:
Hope it helps
Please Give me Brainliest
Answer:
16g/8cm3 = 2g/cm3 or 2x106g/m3
A toy car is released from rest at the top of a ramp. The car
speeds up as it moves down the ramp. When it reaches the
bottom of the ramp, the toy car rolls across the floor and
eventually stops.
Which two statements identify evidence that energy was conserved?
A. As the car rolls down the ramp, it speeds up because gravitational
potential energy is transformed into kinetic energy.
B. As the car rolls down the ramp, it speeds up because thermal
energy due to friction is transformed into kinetic energy.
m C. As the car rolls across the floor, it stops because its kinetic
energy is transformed into gravitational potential energy,
1 D. As the car rolls across the floor, it stops because its kinetic energy
is transformed into thermal energy due to friction
Answer:
A and DDD
Explanation:
The two statements identify evidence that energy was conserved are, as the car rolls down the ramp, it speeds up because gravitational
potential energy is transformed into kinetic energy and as the car rolls across the floor, it stops because its kinetic energy is transformed into thermal energy due to friction, therefore the correct answer is option C.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
As given in the problem statement a toy car is released from rest at the top of a ramp. The car speeds up as it moves down the ramp. When it reaches the bottom of the ramp, the toy car rolls across the floor and
eventually stops.
Thus, it speeds up because gravitational potential energy is transformed into kinetic energy and as the car rolls across the floor, it stops because its kinetic energy is transformed into thermal energy due to friction, therefore the correct answer is option C.
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a squirrel is 5.0 m away from you while moving at a constant velocity of 3 m\s away from you, how far is the squirrel after 5 seconds?
Answer: distance travel after 5 seconds = 3×5 =15 m
so squirrel is away from me by distance of 15+ 5 = 20 m
Explanation:
Answer:
I believe 20 is the answer
A 77 kg girl and a 62 kg boy face each other on friction free roller skates. The girl pushes the boy, who moves away at a speed of 2.5 m/s. What is the girl's speed?
Answer:
Explanation:
conservation of momentum
Initial momentum is zero
77v + 62(2.5) = 0
77v = -155
v = -155/77 = -2.0129870...
|v| = 2.0 m/s
I’m stuck
Why do I have to run
Answer: Because
Running can significantly improve physical and mental health. As a form of aerobic exercise, running can reduce stress, improve heart health, and even help alleviate symptoms of depression. Some researchers think running may be so good for us because it's something we evolved to do. lol
Explanation:
how is the shape of an object related to Bernoulli principle
Answer:
Again, in accordance with Bernoulli's principle, the shape of the airflow facilitates the spread of laminar flow around it. The slower-moving currents beneath the airfoil exert greater pressure than the faster currents above it, giving lift to the aircraft.
Explanation:
A student drops a rock from rest at a distance h above the ground such that the rock hits the ground at a time t0 . At what distance above the ground should the rock be dropped such that it hits the ground at a time 2t0 after it is released.?
The distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.
The given parameters;
initial velocity of the rock, u = 0height above the ground, = htime of motion of the rock from the height = t₀The time of motion of the rock from the given height is calculated as;
[tex]h = ut + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt_0^2\\\\h = \frac{1}{2} gt_0^2\\\\t_0^2 = \frac{2h}{g} \\\\t_0 = \sqrt{\frac{2h}{g} }[/tex]
When the time of motion is doubled to 2t₀, the height above the ground should be;
[tex]2(t_0) = 2(\sqrt{\frac{2h}{g} } )\\\\2(t_0) = \sqrt{\frac{4\times 2h}{g} }[/tex]
Thus, the distance above the ground the rock should be raised in order to hits the ground double of initial time is 4h.
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How can you determine the number of protons or electrons in an atom?
Answer:
number of protons = atomic number
number of electrons = atomic number
You start your bicycle ride at the top of a hill moving East. You coast down the hill at a
constant acceleration of 2 m/s^2. When you get to the bottom of the hill you are moving
18 m/s, and from there you pedal to maintain that velocity for one minute.
a) Draw the velocity vector and why you drew it that way.
b) Draw the acceleration vector and why you drew it that way.
c) How far will you have gone in total from the time you left the hilltop?
What is the givens part 1&2, original formula 1&2 reworked formula(if needed) 1&2
Answer:
a.
Explanation:
draw it that way velocity draw
hope it's helpful
A parkour runner is running on top of a building when he comes to the edge; the next building is 5
meters down and 8 meters over. How fast does he need to be running to make the jump?
Answer:
Explanation:
If we make a rather silly assumption that the runner does not leap upward somewhat as he leaves the edge of the first building, his initial vertical velocity is zero.
The time needed to drop 5 meters from vertical rest is
t = √(2s/g) = √(2(5)/9.8) = 1.01 s
so he needs a horizontal speed of at least
v = d/t = 8 / 1.01 = 7.91959...
v = 7.9 m/s. Better make it 8 m/s to be sure he clears the edge and lands on the roof.
2. A train is traveling at 75 km/hour. How far can it travel in 20 hours?
3355400 Miles I highly doubt this though sorry
A skydiver dives from an airplane. The amount of air resistance she is met with is
measured at each second following her jump.
The terminal velocity of the skydiver is when the weight of the skydiver equals its air resistance therefore, the terminal velocity of the skydiver would occur at the 4th second. Therefore, option (D) is correct.
What is terminal velocity?Terminal velocity can be described as the maximum velocity acquire by an object as it falls through a fluid. It happens when the sum of the drag force and the buoyancy is equal to the downward gravity acting.
Since the net force on the object is equal to zero, the object has zero acceleration. The object would attain the terminal velocity and start to move with a steady velocity.
An object is moving with terminal velocity if its speed is constant because of the restraining force exerted by the air or fluid through which it is moving.
At the 4th second, the weight of the skydiver is 500 N and the air resistance is equal to 500N. Therefore, the air resistance will be equal to the skydiver's weight. At this point, the forces will be balanced and the terminal speed will be attained.
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Why do bulbs in series circuit glow brightly than those in the parallel circuit?
In series, both bulbs have the same current flowing through them. The bulb with the higher resistance will have a greater voltage drop across it and therefore have a higher power dissipation and brightness. In parallel, both bulbs have the same voltage across them.
A car accelerates from 10m/s to 50m/s over a distance of som. What is the
acceleration of the car?
Answer:
40m/s
Explanation:
50m/s - 10m/s = 40m/s
The depth of a pond is 1.5m. Calculate the pressure caused by the water at the bottom of the pond ??
The pressure caused by water is: P = P0 + bgh = 1.013×10^5 + 10^3×9.81 × 1.5 = 1.18 atm
Which model represents a lot of conservation of mass?
Answer:
Only option 2 has the same number of oxygen and hydrogen atoms on each side of the arrow.
Explanation:
25. Spider-Man Spider-Man holds the bottom of an elevator with one hand.
With his other hand, he holds a spider cord attached to a 50-kg box of
explosives at the bottom of the cord. Determine the force that the cord
exerts on the box if (a) the elevator is at rest; (b) the elevator accelerates up
at 2.0 m/s2; (c) the upward-moving elevator's speed decreases at a rate of
2.0 m/s2; and (d) the elevator falls freely.
Answer:
Explanation:
a) F = m(g + a) = 50(10 + 0.0) = 500 N
b) F = m(g + a) = 50(10 + 2.0) = 600 N
c) F = m(g + a) = 50(10 - 2.0) = 400 N
d) F = m(g + a) = 50(0.0 + 0.0) = 0.00 N
A ball rolls horizontally off an incline, at velocity of 8.00m/s l. If the incline is 3.50m above the ground below determine:
a) how long is the projectile in the air?
B) what is the range of the projectile?
C) what is the x-component of velocity at t= 0. 21s
d) y- component of velocity at t-0.21s
e) what is net velocity at t= 0.21s
Answer:
sadsadasadsdassda
Please help as quick as possible
Answer:
Explanation:
Left to right
40 knots
5 knots
calm
50 knots
15 knots
SI unit pf pressure is?
The SI unit for pressure is the pascal (Pa), equal to one newton per square metre (N/m2, or kg·m−1·s−2).
An elevator cable winds on a drum of radius 771 cm that is connected to a motor.
If the elevator moves down 8.60 m, how many revolutions has the drum made?
The relationship between the length of the circle and its radius allows to find the result for the revolutions turned when the distance decreases 8.60m is:
Angle = 17.8 rev
The length of a circle is given by the expression.
L = 2π r
Where L is the length of the circle and r is the radius of the circle.
They indicate the radius of the drum is r = 7.71 cm = 7.71 10⁻² m, let's find the length of the circle.
Lo = 2 π 7.71 10⁻²
Lo = 0.4844 m
Let's find the angle that the drum has rotated, using a direct proportional rule. If rotate an angle of 2π radians when you descend 0.4844 m, what angle you rotate when you descend 8.60 m.
#_ angles = [tex]8.6 m \ \frac{2\pi \ rev} { 0.4844 m}[/tex]
#_angle = 111.55 radians
Let's reduce to revolutions.
# _angles = 111.55 radians ( [tex]\frac{1 rev }{2\pi rad}[/tex] )
#_angulo = 17.8 rev
In conclusion, using the relationship between the length of the circle and its radius, we can find the result for the revolutions turned when the distance decreases is:
Angle = 17.8 rev
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a box is resting on the floor
Answer:
so what is the question ???
Answer:
huhhhhhhhhj hhhhhh
hhhhhhh
Help me pls I need to turn this in quick!!!!
Answer:
C. When the waves overlap, they will cancel eanch other out and disappear
Explanation:
hope its help heart brainliest thnks
Someone says, “The sun seems brighter because it is bigger than other stars.” What would you say?
Answer:The sun is not a particularly large star. It appears brighter because it is only 93 to 95 million miles away or about 8 light minutes. Whereas the next closest star is 4.5 light years away.
Explanation: does this need an explanation? no, exactly.
What is the slope of the line plotted below?
O A. -1
O B. 2
o
C. 2.
O D. 1
Answer:
-2
Explanation:
The points are (0, 3) and (3, -3)
If you subtract 3-(-3) you get 6
If you subtract 0-3 you get -3
6/-3 is equal to -2
5) You are visiting Norway for the winter and driving on a highway where the speed
limit is 80 km/hr. Your car indicates that you are going at a speed of 55 mi/hr. Will
you be arrested? (1 mi = 1.6 km)
Given the vectors A (-2, 3) and B(4,5) what is the sum of A +B?