In a two-step pulley arrangement meant for a load W, the ratio between force P and W in equilibrium position when radii of pulleys are r 1 and r 2

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A
Let the pulley be given a small rotation θ θ in anticlockwise direction, the pulley and load will be lifted by r 2 θ θ and P moves down by (r 1 θ θ - r 2 θ θ ).
Equating virtual work done to zero
P (r 1 θ θ - r 2 θ θ ) – Wr 2 θ θ = 0
or 
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