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Question

A uniform disk of mass M and radius R is mounted on a fixed horizontal axis. A block of mass m hangs from a massless string that is wrapped around the rim of the disk. The magnitude of the acceleration of the falling block (m) is:

A
2MM+2mg
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B
2mM+2mg
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C
4MM+2mg
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D
9MM+3mg
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Solution

The correct option is B 2mM+2mg

R×T=IαI=MR22R×T=MR22×αα=2TMRmgT=maT=mgmaaR=2(mgma)MRMa=2mg2maa=2mgM+2m
997622_1014789_ans_14d4178a15ee4a2d96210aae1a64d3cd.jpg

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