Question

A painter is applying force himself to raise him and the box with an acceleration of `5m//s^(2)` by a massless rope and pulley arrangement as shown in fig Mass of painter is 100 kg and that of box is 50 kg if `g=10 m//s^(2)` then:

A. tension in the rope is 1125 N
B. tension in the rope is 2250 N
C. force of contact between the painter and the floor is 375 N
D. none of these

Answer 1

Correct Answer - A::C
For the system, the eqn. of motion is
`2T-(M+m)g=(M+m)a`
`2T=(M+m)(g+a)`
`2T=(100+50)(10+5)`
`T=1125 N`
For the painter the eqn. of motion is
`R+T=m(g+a)`
`R+1125=100(10+5)`
`R=375 N`