Topic: Laws of Motion
Subtopic: Constrained Motion
A painter is raising himself and the crate on which he stands with an acceleration of 5m/s² by a massless rope–and–pulley arrangement. Mass of painter is 100 kg and that of the crate is 50 kg. If g = 10 m/s², then :
Tension in the rope 2250 N
Tension in the rope is 1125 N
Force of contact between painter and the floor is 750 N
Force of contact between the painter and the floor is 500 N.
Solution:
Let us assume tension force in the wire is T. Then net force acting on man and crate in upward direction is 2T. Gravitational force acting in downward direction is (50+100) g = 1500 N. Writing equation of motion for the system.
2T- 1500 = 150 × a
⇒ 2T- 1500 = 150 × 5
⇒ 2T = 750 +1500 = 2250
⇒ T = 1125 N
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