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A uniform ladder of weight W and length ...

A uniform ladder of weight `W` and length `L` is resting between rough floor and smooth vertical wall. The ladder makes an angle `53^(@)` with horizontal. A man of weight `3W` climbs the ladder and stays at distance `L//3` as shown.
(a) Find the normal and friction force on the ladder at its base.
(b) Find the minimum coefficient of the static friction needed to prevent slipping at the base.

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