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 13.5 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 1490 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight. 9.9 rad/s? How much work W is done if the leg rotates through an angle of 25.0° with a constant force exerted by the muscle? W = 7.21 Question Credit: OpenStax College Physics

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 82A
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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 13.5 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 1490 N, and its effective perpendicular lever arm is
3.45 cm. Find the magnitude of the angular acceleration a of the weight.
9.9
rad/s?
How much work W is done if the leg rotates through an angle of 25.0° with a constant force exerted by the muscle?
W = 7.21
Question Credit: OpenStax College Physics
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 13.5 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 1490 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight. 9.9 rad/s? How much work W is done if the leg rotates through an angle of 25.0° with a constant force exerted by the muscle? W = 7.21 Question Credit: OpenStax College Physics
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