Pulley, blocks, moment of inertia :S

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SUMMARY

This discussion focuses on a physics problem involving two blocks connected by a string over a pulley with a radius of 0.20m and an unspecified moment of inertia. The blocks, with masses of 8 kg and 10 kg, are on frictionless inclines of 32 degrees and 61 degrees, respectively, and accelerate at 1.00 m/s². Key calculations include determining the tensions (Ta and Tb) in the string, the net torque acting on the pulley, and the moment of inertia of the pulley. The user seeks guidance on creating free body diagrams and formulating expressions for the tensions and net torque.

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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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