A car is stuck in the mud. A tow truck pulls on the car with the arrangement shown in the figure below. The tow cable is under a tension of of 2,860 N and pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut; that is, each is a bar whose weight is small compared to the forces it exerts and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows. Make a guess as to which way (pushing or pulling) each force acts on the top pin. Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means the direction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls on a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression. (Assume 0₁ = 64° and 0₂ = 49°.) force exerted by strut A N compression ✓ ✓ force exerted by strut B tension ✔ @

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 70AP: A pencil rests against a corner, as shown below. The sharpened end of the pencil touches a rough...

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A car is stuck in the mud. A tow truck pulls on the car with the arrangement shown in the figure below. The tow cable is under a tension of of 2,860 N and pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by
the two bars A and B. Each bar is a strut; that is, each is a bar whose weight is small compared to the forces it exerts and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or
compression in each strut. Proceed as follows. Make a guess as to which way (pushing or pulling) each force acts on the top pin. Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the
equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means the direction should be reversed, but the absolute value correctly gives the magnitude of the force. If a
strut pulls on a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression. (Assume 0₁ = 64° and 0₂ = 49°.)
force exerted by strut A
compression ✓
force exerted by strut B
N
N
tension
0₁
0₂
B

Expert Solution

Step 1: Free-body diagram

The free-body diagram of the system is given below-

Figure 1 shows the direction of force in stunt A and stunt B.

Figure 2 shows the horizontal and the vertical components of all the forces.

Here,

$T$ is the tension in the cable,

$F subscript A$ is the force exerted by stunt A,

$F subscript B$ is the force exerted by stunt B, and

$theta subscript 1$ and $theta subscript 2$ are the angles.

Given data:

$theta subscript 1 equals 64 degree comma space theta subscript 2 equals 49 degree comma space T equals 2880 space straight N$

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