Question

# A painter is applying force himself to raise him and the box with an acceleration of $$5 m/s^{2}$$ 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 $$g = 10 m/s^{2}$$, 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

Solution

## The correct options are A tension in the rope is 1125 N C force of contact between the painter and the floor is 375 NFor painter ;$$R + T - mg = ma$$$$R + T = m(g + a) ............(1)$$For the system ;$$2T - (m + M)g = (m + M)a$$$$2T = (m + M) (g + a) ..............(2)$$$$where ; m = 100 kg$$$$M = 50 kg$$a=5 $$m/sec^{2}$$$$\therefore T=\frac{150\times 15}{2}=1125 N\ and\ R = 375 N.$$ Physics

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