A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is M3, the distance that the man moves relative to the ground is
A
3L4
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B
L4
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C
4L5
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D
L3
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Solution
The correct option is BL4 Let plank moves x distance in oppsoite direction. Then, displacement of man relative to ground will be, (L−x). Applying mmxm=mpxp or M(L−x)=M3x Solving this equation we get, x=3L4 ∴ Displacement of man relative to ground = L−3L4=L4