hilé exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 10.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg · m² , the muscle force is 1430 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter13: Rotation Ii: A Conservation Approach
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While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the
muscles in the back of the upper leg. The weight has mass 10.5 kg, and is a distance of 28.0 cm from the knee joint. The moment
of inertia of the lower leg is 0.900 kg m², the muscle force is 1430 N, and its effective perpendicular lever arm is 3.45 cm. Find
the magnitude of the angular acceleration a of the weight.
26.6
rad/s2
How much work W is done if the leg rotates through an angle of 10.0° with a constant force exerted by the muscle?
W :
7.99
J
Transcribed Image Text:While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 10.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg m², the muscle force is 1430 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight. 26.6 rad/s2 How much work W is done if the leg rotates through an angle of 10.0° with a constant force exerted by the muscle? W : 7.99 J
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