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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:

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