A uniform ladder with mass m2 and length L rests against a smooth wall, as seen in the figure. A do-it-yourself enthusiast of mass m1 stands on the ladder a distance d from the bottom (measured along the ladder). The ladder makes an angle θ with the ground. There is no friction between the wall and the ladder, but there is a frictional force of magnitude f between the floor and the ladder. N1 is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the ground on the ladder. Throughout the problem, consider counterclockwise torques to be positive. A. What is the minimum coeffecient of static friction μmin required between the ladder and the ground so that the ladder does not slip? Express μmin in terms of m1, m2, d, L, and θ B. Suppose that the actual coefficent of friction is one and a half times as large as the value of μmin. That is, μs=(3/2)μmin. Under these circumstances, what is the magnitude of the force of friction f that the floor applies to the ladder? Express your answer in terms of m1, m2, d, L, g, and θ. Remember to pay attention to the relation of force and μs
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A uniform ladder with mass m2 and length L rests against a smooth wall, as seen in the figure. A do-it-yourself enthusiast of mass m1 stands on the ladder a distance d from the bottom (measured along the ladder). The ladder makes an angle θ with the ground. There is no friction between the wall and the ladder, but there is a frictional force of magnitude f between the floor and the ladder. N1 is the magnitude of the normal force exerted by the wall on the ladder, and N2 is the magnitude of the normal force exerted by the ground on the ladder. Throughout the problem, consider counterclockwise torques to be positive.
A. What is the minimum coeffecient of static friction μmin required between the ladder and the ground so that the ladder does not slip? Express μmin in terms of m1, m2, d, L, and θ
B. Suppose that the actual coefficent of friction is one and a half times as large as the value of μmin. That is, μs=(3/2)μmin. Under these circumstances, what is the magnitude of the
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