Figure represents a painter in a crate which hangs along the side of a building. When the painter of mass 100 kg pulls the rope, the force exerted by him on the floor of the crate is 450 N. If the crate weighs 125 kg, then the acceleration in the rope is (Given $g = 10\ ms^{- 2}$)

Question

Dr. Abubacker · Accepted Answer

(b) Refer to the free body diagram of painter
[image:5_image276.emf]
$T + 540 - 1000 = 100a\ \ \ \ \ $
or $T - 550 = 100a\ \ \ \ \ \ $…(i)
Refer to the free body diagram of the system
$2T - 1250 = 125a\ \ \ \ \ \ $….(ii)
From Eqs. (ii) and (i),
2(550+100$a$)$- 1250 = 125a$
or $75a = 1250 - 1100 = 150$
or $a = \frac{150}{75}ms^{- 2} = 2\ ms^{- 2}$

Q. Figure represents a painter in a crate which hangs along the side of a building. When the painter of mass 100 kg pulls the rope, the force exerted by him on the floor of the crate is 450 N. If the crate weighs 125 kg, then the acceleration in the rope is (Given $g = 10\ ms^{- 2}$)

Explanation

Reviewed by Dr. Abubacker

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