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Second Law of Motion

A man of mass...

Question

A man of mass m slides down along a rope which is connected to the ceiling of an elevator with deceleration $a$ $m / s^{2}$ relative to the rope. If the elevator is going upward with an acceleration $a$ $m / s^{2}$ relative to the ground, then tension in the rope is

A

mg

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B

m(g+2a)

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C

m(g+a)

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D

zero

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Solution

The correct option is A mg
F.B.D of man w.r.t elevator
$m a + m g - T = m a$
$T = m g$

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