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A man of mass M stands at one end of a s...

A man of mass M stands at one end of a stationary plank of length L, lying on a smooth surface. The man walks to the other end of the plank. If the mass of the plank is `M//3`, the distance that the man moves relative to the ground is

A

`(3L)/(4)`

B

`(L)/(4)`

C

`(4L)/(5)`

D

`(L)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
LeT the distance moved by plank is `x`
`m_(1)Deltax_(1)+m_(2)Deltax_(2)=0`
`M(L-x)+(M)/(3)(-x)=0`
`rArr=(3L)/(4)`
`therefore`distance moved by person w.r.t. to goround `=L-x=(L)/(4)`
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Knowledge Check

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