A house painter uses the chair and pulley arrangement of the figure to lift hims

Question

A house painter uses the chair and pulley arrangement of the figure to lift himself up the side of a house. The painter's mass is 66kg and the chair's mass is 8.0kg.With what force must he pull down on the rope in order to accelerate upward at 0.18m/s^2?

A house painter uses the chair and pulley arrangement of the figure to lift himself up the side of a house. The painter's mass is 66kg and the chair's mass is 8.0kg.With what force must he pull down on the rope in order to accelerate upward at 0.18m/s^2?

Explanation / Answer

F = T

2T - mg = ma

F = m(g + a) / 2   = (66 + 8)*(9.8 +0.18)/2 = 369.26 N

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