A construction worker of mass m, = 69.6 kg stands on a uniform ladder a distance d = 0.9 m from the bottom, measured along the ladder (Refer to the figure below). The ladder with mass m2 = 10.1 kg and length L = 3.8 m rests against a smooth wall. It makes an angle 31.3 degrees with the ground. There is a frictional force of magnitude f between the floor and the ladder. N, 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

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Chapter1: Units, Trigonometry. And Vectors
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A construction worker of mass m, = 69.6 kg stands on a uniform ladder a
distance d = 0.9 m from the bottom, measured along the ladder (Refer to
the figure below). The ladder with mass m2 = 10.1 kg and length L = 3.8
m rests against a smooth wall. It makes an angle 31.3 degrees with the
ground. There is a frictional force of magnitude f between the floor and
the ladder. N, 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. Take counterclockwise torques to be positive.
What is the minimum coefficient of static friction required between
the ladder and the ground so that the ladder does not slip? Give
your answer to 2 decimal places.
m
Transcribed Image Text:A construction worker of mass m, = 69.6 kg stands on a uniform ladder a distance d = 0.9 m from the bottom, measured along the ladder (Refer to the figure below). The ladder with mass m2 = 10.1 kg and length L = 3.8 m rests against a smooth wall. It makes an angle 31.3 degrees with the ground. There is a frictional force of magnitude f between the floor and the ladder. N, 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. Take counterclockwise torques to be positive. What is the minimum coefficient of static friction required between the ladder and the ground so that the ladder does not slip? Give your answer to 2 decimal places. m
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