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Q.

A man of mass m slides down along a rope which is connected to the ceiling of an elevator with deceleration a relative to the rope. If the elevator is going upward with an acceleration a relative to the ground, then tension in the rope is

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a

m(g+2 a)

b

zero

c

m(g +a)

d

m g

answer is B.

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Detailed Solution

amr= acceleration of man relative to rope  

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=am-ar =amr+ar =(a)+(a) =2a   m-mg=mam =m(2a) T=m(g+2a)

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