Calculating Torque on a Pulley: Simple Theory and Homework Practice

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To calculate the torque on a frictionless pulley, the primary equation used is Torque = Force times Radius. The torque is influenced by the gravitational force of the hanging weight, but it is also necessary to consider the force of tension in the rope. Utilizing free body diagrams and applying Newton's second law can help determine the system's acceleration. Once the acceleration is established, the torque can be accurately calculated. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement


Lets say I have a the generic pulley setup with no friction

http://img.sparknotes.com/content/testprep/bookimgs/sat2/physics/0014/tablewpulleyFBD.gif

How would I calculate the Torque on the pulley?


Homework Equations



Torque = Force times Radius

The Attempt at a Solution



Would the torque simply be the torque caused by gravity of the free hanging weight or do I have to take the force of tension into account?
 
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Use the free body diagrams and Newton's 2nd law to find the acceleration of the system. Then you can find the torque.
 
Thank You.
 

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