First slide

Equilibrium of a particle

Question

A man is raising himself and the crate on which he stands with an acceleration of 5 ms^-2 by a massless rope-and-pulley arrangement. Mass of the man is 100 kg and
that of the crate is 50 kg. If g=10 ms^-2, then the tension in the rope is

Moderate

A

2250 N
B

1125 N
C

750 N
D

375 N

Solution

$\begin{array}{l} m_{1} = 100 kg, m_{2} = 50 kg, a = 5 {ms}^{- 2} \\ T + N - m_{1} g = m_{1} a \\ T - N - m_{2} g = m_{2} a \end{array}$
Solving these: T=1125 N and N=375 N

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