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Question

Question: A chain of length 1.5 pR and mass ‘m’ is put on a mounted half cylinder as shown in figure. Chain is...

A chain of length 1.5 pR and mass ‘m’ is put on a mounted half cylinder as shown in figure. Chain is pulled by vertically downward force 2 mg. Assuming surfaces to be friction less, acceleration of chain is –

A

2g

B

2 g3\frac { 2 \mathrm {~g} } { 3 }

C

D

5 g3\frac { 5 \mathrm {~g} } { 3 }

Answer

5 g3\frac { 5 \mathrm {~g} } { 3 }

Explanation

Solution

Acceleration of chain is given by

a = 2mgmg/3 m\frac { 2 \mathrm { mg } - \mathrm { mg } / 3 } { \mathrm {~m} } = 5 g3\frac { 5 \mathrm {~g} } { 3 }