A 4.00kg stone is tied to a thin, light wire wrapped around the outer edge of th

Question

A 4.00kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 9.00kg cylindrical pulley shown in the figure below (Figure 1) . The inner diameter of the pulley is 60.0cm , while the outer diameter is 1.00m . The system is released from rest, and there is no friction at the axle of the pulley.

I have found the answer for part A:

A) Find the acceleration of the stone. a=3.87 m/s^2

NEED HELP WITH-

B) Find the tension in the wire. T=?N

C) Find the angular acceleration of the pulley. a=?rad/s^2

Explanation / Answer

sorry, I saw the acceleration as upward but it is down so T=4*(9.8-3.87) =23.72 N T.r1=I.(alpha) => alpha=T.r1/I but we know T=23.7; r1=.5; I=m*reff^2 reff=.4 =>alpha=23.7*.5/4*.4*.4 =18.51 rad/sec2

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