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An adult exerts a horizontal force on a swing that is suspended by a rope of length L, holding it at an angle θ with the vertical. The child in the swing has a weight W and dimensions that are negligible compared to L. The weights of the rope and of the seat are negligible. In terms of W and θ, determine

 

(a) The tension in the rope 

(b) The horizontal force exerted by the adult. 

(c) The adult releases the swing from rest. In terms of W and θ determine the tension in the rope as the swing passes through its lowest point

1 Answer

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(c) Using the same geometry for the velocity at the bottom using energy conservation

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