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 figure. Mass of painter is 100 kg and that of box is 50 kg. If $g=10m/s^2$, 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

Answer: (A), (C)

The correct options are
A tension in the rope is 1125 N
C force of contact between the painter and the floor is 375 N

For painter ;
$R+T-mg=ma$
$R+T=m(g+a)............\left(1\right)$
For the system ;
$2T-(m+M)g=(m+M)a$
$2T=(m+M)(g+a)..............\left(2\right)$
$where;m=100kg$
$M=50kg$
a=5 $m/se{c}^2$
$\therefore T=\frac{150\times 15}{2}=1125NandR=375N.$