Find the net torque on the pulley

In summary, the question asks for the net torque on a pulley with a radius of 13.0 cm and a moment of inertia of 0.230 kg m^2, released from rest. The rope does not slip on the pulley rim and the system is released from rest. The tension in the ropes on both sides of the pulley has been determined, but the net torque cannot be found. The correct calculation for net torque is T*d, where T is the tension and d is the radius. After correcting for using the height instead of the radius, the correct net torque is found to be 68 Nm.
  • #1
mybrohshi5
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Homework Statement



The pulley in the figure has radius 13.0 cm and a moment of inertia 0.230 kg m^2; the pulley is constructed from a dense metal. The rope does not slip on the pulley rim. The system is released from rest.

http://session.masteringphysics.com/problemAsset/1000057320/10/YF-09-36.jpg

Find the net torque on the pulley, about its axle, due to the differing tensions in the rope on the two sides of the pulley.

Homework Equations





The Attempt at a Solution



From earlier parts of the problem i have found the acceleration of the blocks a = 1.0m/s^2 and the velocity final of the larger falling block v = 3.16 m/s. i also found the tension in both of the ropes. T in rope attached to the larger mass was 35.2 N and the T in the rope on the smaller mass was 21.6 N

Now i cannot find the net torque it is asking for

I tried doing this

t = torque

tlarger block - tsmaller block = tnet

T*d - T*d = tnet

35.2N(5m) - 21.6N(5m) = tnet

tnet = 68Nm

This is wrong? How else can i go about this problem?

thank you
 
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  • #2
i was using the height instead of the radius

i got it now :)
 

FAQ: Find the net torque on the pulley

What is a pulley?

A pulley is a simple machine made up of a wheel with a groove around its circumference and a rope or belt that runs along the groove. It is commonly used to change the direction of a force or to lift or move objects.

Why is it important to find the net torque on a pulley?

Finding the net torque on a pulley is important because it helps determine the rotational motion of the pulley. This is essential in understanding the overall mechanical system and ensuring that the pulley is functioning properly.

What factors affect the net torque on a pulley?

The net torque on a pulley is affected by several factors, including the magnitude and direction of the forces acting on the pulley, the distance of the forces from the center of the pulley, and the radius of the pulley itself.

How is the net torque on a pulley calculated?

The net torque on a pulley is calculated by multiplying the magnitude of the force acting on the pulley by the distance from the center of the pulley to the point where the force is applied. This is done for each force acting on the pulley and then these individual torques are added together to get the total net torque.

What are some real-life applications of finding the net torque on a pulley?

Finding the net torque on a pulley is important in many real-life applications, such as designing and building machines and equipment that use pulleys, analyzing the motion of pulleys in physics experiments, and ensuring the safety and efficiency of pulley systems in industries such as construction, transportation, and manufacturing.

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