Pulley, blocks, moment of inertia :S

AI Thread Summary
The discussion focuses on a physics problem involving two blocks connected by a string over a pulley, with specific parameters including block masses, incline angles, and acceleration. The goal is to determine the tensions in the string (Ta and Tb), the net torque on the pulley, and its moment of inertia. Participants are encouraged to create free body diagrams for each block and derive expressions for the tensions. The net torque on the pulley is expressed in terms of Ta and Tb, and the overall acceleration of the system is also calculated. The thread emphasizes problem-solving techniques in mechanics related to pulleys and inclined planes.
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pulley, blocks, moment of inertia... :S

Two blocks are connected by a light string passing over a pulley of radius 0.20m and moment of inertia I. The blocks move (towards the right) with an acceleration of 1.00m/s^2 along their frictionless inclines .

Mass A is on an incline of 32 degrees w.r.t the horizantal. and is 8 kg.
Mass B is on an incline of 61 degrees w.r.t the hoizantal, and is 10 kg.

Determine F (Ta), tension in the left part of the string.

Determine F (Tb), tensino in the right part of the string.

Find the net torque acting on the pulley. Take clockwise torques as positive.

Determine its moment of inertia, I/I].

*Hopefully I've done this right, just registered on this site a couple of minutes ago!
 

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Do a free body diagram for each block. Write out an expression for the Tension acting on each block.

What is the net torque on the pulley (this is an expression in terms of Ta and Tb)?

What is the acceleration of this system?

Solve the equations for Ta and Tb.

AM
 
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