3. An individual does leg curl exercise to strengthen his hamstring muscles. The 3 kg load is located 36 cm from the axis of rotation (the knee joint). The leg weight is 5 kg and the center of mass of the leg is located 20 cm from the knee joint. The radius of gyration about the center of mass of the leg is 14 cm. At the instant shown, the leg is in a horizontal position and is moving counterclockwise with an angular acceleration of a = +4 rad/s² and an angular velocity of w = +3 rad/s² The hamstring muscle inserts 3 cm from the knee joint and is oriented at an angle of 60° with respect to the leg. Treat the 3 kg load as a point mass. Calculate the following: (a) the magnitude of Fm required to cause this motion. (b) the magnitudes of both the tangential and centripetal accelerations of the load.

3. An individual does leg curl exercise to strengthen his hamstring muscles. The 3 kg load is located 36 cm from the axis of rotation (the knee joint). The leg weight is 5 kg and the center of mass of the leg is located 20 cm from the knee joint. The radius of gyration about the center of mass of the leg is 14 cm. At the instant shown, the leg is in a horizontal position and is moving counterclockwise with an angular acceleration of a = +4 rad/s² and an angular velocity of w = +3 rad/s² The hamstring muscle inserts 3 cm from the knee joint and is oriented at an angle of 60° with respect to the leg. Treat the 3 kg load as a point mass. Calculate the following: (a) the magnitude of Fm required to cause this motion. (b) the magnitudes of both the tangential and centripetal accelerations of the load.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

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Question

3. An individual does leg curl exercise to strengthen his hamstring muscles. The 3 kg
load is located 36 cm from the axis of rotation (the knee joint). The leg weight is 5 kg
and the center of mass of the leg is located 20 cm from the knee joint. The radius of
gyration about the center of mass of the leg is 14 cm. At the instant shown, the leg is in
a horizontal position and is moving counterclockwise with an angular acceleration of a =
+4 rad/s² and an angular velocity of w = +3 rad/s² The hamstring muscle inserts 3 cm
from the knee joint and is oriented at an angle of 60° with respect to the leg. Treat the 3
kg load as a point mass. Calculate the following:
(a) the magnitude of Fm required to cause this motion.
(b) the magnitudes of both the tangential and centripetal accelerations of the load.
Knee
pivot
Hamstring
muscle
Perpendicular
distance to pivot
Weight force
(load)
Fm
36 cm
60
knees
5 kg
3 cm
3 kg
Answers: a) 890.46 N; b) tangential: 1.44 m/s²; centripetal: 3.24 m/s²

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