A uniform ladder 10.0 m long and weighing 50.0 N rests against a smooth vertical wall. (a) If the ladder is just on the verge of slipping when it makes a 50.0° with the ground, find the coefficient of static friction between the ladder and ground. (b) If the coefficient of static friction is 0.360, and the same ladder makes a angle with respect to the horizontal, how far along the length of 60.0° the ladder can a 65-kg painter climb before the ladder begins to slip

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