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 m s -2, then the tension in the rope is

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 m s -2, then the tension in the rope is (A) 2250 N (B) 1125 N (C) 750 N (D) 375 N

Tardigrade Admin · Accepted Answer

m1=100 kg , m2=50 kg , a=5 m s -2 T+N-m1 g=m1 a T-N-m2 g=m2 a Solving these: T=1125 N and N=375 N

Q. 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 $100 k g$ and that of the crate is $50 k g$ . If $g = 10 m s^{- 2}$ , then the tension in the rope is

2250 N

1125 N

750 N

375 N

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

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