A man of mass 50 kg slides down a massless rope with acceleration $2 m / sec^{2}$ with respect to rope attached to the ceiling of an elevator. If elevator is going up with an acceleration $2 m / sec^{2}$ then find tension in the rope (in N).
$m / sec^{2}$
$2 m / sec^{2}$

Question

A man of mass 50 kg slides down a massless rope with acceleration $2 m / sec^{2}$ with respect to rope attached to the ceiling of an elevator. If elevator is going up with an acceleration $2 m / sec^{2}$ then find tension in the rope (in N).

$m / sec^{2}$

$2 m / sec^{2}$

TestHub · Accepted Answer

In the elevator frame the pseudo force is $2 m$ downward, and the man descends relative to the elevator at $2$ m/s $^{2}$ , so his absolute acceleration is zero

$T = m (g + 2) - 2 m = m g$

$T = 50 \times 10 = 500$ N

Physics - NLM Question with Solution | TestHub

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