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Three man A, B & C of mass 40 kg, 50 kg ...

Three man A, B & C of mass `40 kg, 50 kg` & `60 kg` are standing on a plank of mass `90 kg`, which is kept on a smooth horizontal plane. If A & C exchange their position then mass B will shift :-

A

`1//3m` towards left

B

`1//3 m` towards right

C

will not move w.r.t ground

D

`5//3m` towards left

Text Solution

Verified by Experts

The correct Answer is:
B
Let `x_(p) = x` sift of plank to the right
`Deltabar(x) = (m_(A) Deltax_(A) + m_(B) Deltax_(B) + m_(C ) Deltac_(c ) + m_(p)Deltax_(P))/(m_(A) + m_(B) + m_(C ) + m_(P))`
`0 = (40(x +4) + 50x + 60(x - 4) + 90x)/(40 + 50 + 60 + 90) rArr (1)/(3)m`
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