# A hollow cylinder of mass M has outer radius R2 and inner radius R1. Its M.I about an axis parallel to its axis and tangential to the outer surface is

Aman Bansal
592 Points
11 years ago

Dear Gautham.

The total energy in the system is given by

T = 1/2 m2 Vo^2 + 1/2 m1 Vo^2 + 1/2 I wo^2
= 1/2 m2 Vf^2 + 1/2 m1 Vf^2 + 1/2 I wf^2 - m1gd + uk m2g d

where Vo,Vf are the initial and final velocity of the blocks, wo/wf are the initial and finalangular velocity of the pulley, I is the moment of inertia of the pulley. w is related to V as

Vo = R2 wo and Vf = R2 wf.

Also, the moment of inertia is given by

I = 1/2 m (R2^2 + R1^2)

You have all the data now, you can go ahead and solve for Vf in the energy equation above. After that, you can calculate wf.

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Thanks

Aman Bansal