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Q4. A 2 m long uniform ladder of mass 15 kg rests against a smooth vertical wall. The ladder stands on an inclined plane, which rises at 10° away from the wall.

(a) Sketch the ladder arrangement showing all forces acting.

(b) Calculate the largest angle possible between the ladder and the wall for the ladder to be stable and not slide away from the wall.

Note: Coefficient of friction between the ladder and the inclined plane is 0.24