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Q.

From an ideal pulley system, two identical discs are suspended. The string is tied to center of right disc, but it is wound many times on the left disc so that it does not slip on it. Both are released from the same level. 

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a

The right disc will remain stationary and the left disc will move downwards

b

Both the discs will simultaneously hit the ground below.

c

The acceleration of center of mass of both disc will be the same. 

d

The acceleration of center of mass of right disc will be less than that of left disc

answer is B, C.

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Detailed Solution

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Acceleration of centre of mass of the disks is downwards and given by a = mg - Tm.

So they hit ground simultaneously

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