What is the torque if the rope is attached

In summary, the torque for the stone obelisk being tilted into place by a team of donkeys at a constant force of 4500N is 18,000N*m if the rope is attached to the middle of the obelisk, 25,455N*m if the rope is attached to the end at a 45 degree angle, and 36,000N*m if the rope is attached perpendicularly to the end.
  • #1
chaotiiic
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Homework Statement


a large stone obelisk that is 8meters tall is laid down flat in the center of a Roman piazza and is going to be tilted into place by a rope and pulley system tied to a team of donkeys. If the team of donkeys always pulls with a constant force of 4500N, what is the torque if:
a) the rope is attached to the middle of the obelisk
b) the rope is attached to the end of the obelisk at a 45 degree angle?
c) the rope is attached perpendicularly to the end of the obelisk?

Homework Equations


t = F * I

The Attempt at a Solution


a) 4m * 4500 = 18,000N*m
b) (8m)(cos45)(4500N) = 25455N*m
c) is it zero?
 
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  • #2
hmm. The question doesn't say what point the torque is meant to be calculated around. But I think you have chosen the correct point (the pivot point), this seems the most obvious choice.

I think you've got questions a) and b) right (But be careful with the rounding in part b, it looks like you have rounded down when it should have been rounded up). For question c, think of how the rope was attached in question a.
 
  • #3
a and b are right. c is 8*4500=36,000
 
  • #4
That sounds right to me. (I'm guessing you have had your work marked already?) Do you get why the answer to c is what it is?
 
  • #5


Yes, the torque would be zero in this case because the force is acting perpendicular to the obelisk and would not cause it to rotate.
 

FAQ: What is the torque if the rope is attached

1. What is torque?

Torque is a measure of the force that causes an object to rotate around an axis. It is commonly referred to as the "turning effect" of a force.

2. How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied. The formula for torque is: torque = force x distance.

3. How is torque related to the rope being attached?

The torque of the rope being attached depends on the force applied to the rope and the distance from the point where the rope is attached to the axis of rotation. The greater the force and the longer the distance, the greater the torque.

4. Can torque be negative?

Yes, torque can be negative. This means that the force applied is in the opposite direction of the rotation of the object. Negative torque can cause an object to slow down or change direction.

5. How is torque important in everyday life?

Torque is important in everyday life in many ways. It is used in machinery and vehicles to generate rotational motion, such as in engines and motors. It is also important in sports, for example, in swinging a bat or throwing a ball. Torque is also used in construction and engineering to design structures that can withstand forces and remain stable.

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