First slide

making equation on system

Question

A man is raising himself and the crate on which he stands with an acceleration of 5 $m / s^{2}$ 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 $m / s^{2}$ , the contact force between man and the crate is

Moderate

A

2250 N
B

1125 N
C

750 N
D

375 N

Solution

$m_{1} = 100 kg, m_{2} = 50 kg, a = 5 m / s^{2}$
T + N $- m_{1} g = m_{1} a$
$T - N - m_{2} g = m_{2} a$
Solving these:
T = 1125 N and
N = 375 N

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