To get up on the roof, a person with a mass m = 71 kg leans an aluminum ladder (mass 10.5 kg and length 6.0 m) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder just overhangs a plastic rain gutter, which we can assume to be frictionless, so the force from the gutter on the ladder acts perpendicularly to the ladder. As a result, the top of the ladder experiences a normal force at an angle, while the bottom of the ladder experiences both a vertical normal force and a horizontal friction force. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. a.) What is the magnitude of the net force on the ladder at the top
To get up on the roof, a person with a mass m = 71 kg leans an aluminum ladder (mass 10.5 kg and length 6.0 m) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder just overhangs a plastic rain gutter, which we can assume to be frictionless, so the force from the gutter on the ladder acts perpendicularly to the ladder. As a result, the top of the ladder experiences a normal force at an angle, while the bottom of the ladder experiences both a vertical normal force and a horizontal friction force. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom.
a.) What is the magnitude of the net force on the ladder at the top? Give your answer in newtons
b.) What is the magnitude of the net force on the ladder at the bottom? Give your answer in newtons
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