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At an angle of 36.5deg with the horizontal, a ladder, with mass (m = 100.0 kg)...

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Physics

At an angle of 36.5deg with the horizontal, a ladder, with mass(m = 100.0 kg) rests on a frictionless wall and on the ground witha friction coefficient (μS).

a) What is the minimum value of the ladder-ground staticfriction coefficient if the ladder’s center of mass is located at adistance, 1/3 of its total length?

b) A boy, with mass (m = 45.0 kg), uses the ladder to retrieve abag of 5 basketballs, each with mass (m = 0.625kg), that rests onthe top of the wall. If the boy must return safely to the ground,what is the new static friction coefficient required?

c) What is the %DIFF in static friction coefficients betweenparts a) and b)?

d) What is the %DIFF in the magnitude of the force delivered bythe wall between parts a) and b)?

e) If the boy travels at a constant velocity during his roundtrip travel to retrieve the ball, what is the total work done bygravity?

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