Question

A 10m long ladder of mass 20kg leans against a smooth vertical wall at an angle of 30 to the wall

A 10m long ladder of mass 20kg leans against a smooth vertical wall at an angle of 30 to the wall. The ground is rough, (a) Calculate the component of the force exerted by the ground on the ladder and wall on the ladder (b) What must be the coefficient of static friction at the base of the ladder if it is not to slip when a 50kg person is 4/5 of the way up the ladder? (c) If coefficient of static friction is 0.30, how far up the ladder can the person in (b) climb before the ladder begins to slip?

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