During a concentric loading of the quadriceps muscle in the upper leg, an athlete extends his lower leg from a vertical position (see figure (a)) to a fully extended horizontal position (see figure (b)) at a constant angular speed of 30.0° per second. Two of the four quadriceps muscles, the vastis intermedius and the rectus femoris, terminate at the patellar tendon which is attached to the top of the tibia in the lower leg. The distance from the point of attachment of the patellar tendon to the rotation axis of the tibia relative to the femur is 4.60 cm in this athlete.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 56P: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56)....
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During a concentric loading of the quadriceps muscle in the upper leg, an athlete extends his lower leg from a vertical position (see figure
(a)) to a fully extended horizontal position (see figure (b)) at a constant angular speed of 30.0° per second. Two of the four quadriceps
muscles, the vastis intermedius and the rectus femoris, terminate at the patellar tendon which is attached to the top of the tibia in the lower
leg. The distance from the point of attachment of the patellar tendon to the rotation axis of the tibia relative to the femur is 4.60 cm in this
athlete.
(a) The two quadriceps muscles can exert a maximum force of 275 N through the patellar tendon. This force is applied at an angle of
25.0° to the section of the tibia between the attachment point and the rotation axis. What is the torque (in N - m) exerted by the
muscle on the lower leg during this motion? (Enter the magnitude.)
N.m
(b) What is the power (in W) generated by the athlete during the motion?
W
b
(c) Modeling the lower leg as a thin rod with mass 4.60 kg and length 45.0 cm, what is the kinetic energy (in J) of the lower leg during
the motion?
J
Transcribed Image Text:During a concentric loading of the quadriceps muscle in the upper leg, an athlete extends his lower leg from a vertical position (see figure (a)) to a fully extended horizontal position (see figure (b)) at a constant angular speed of 30.0° per second. Two of the four quadriceps muscles, the vastis intermedius and the rectus femoris, terminate at the patellar tendon which is attached to the top of the tibia in the lower leg. The distance from the point of attachment of the patellar tendon to the rotation axis of the tibia relative to the femur is 4.60 cm in this athlete. (a) The two quadriceps muscles can exert a maximum force of 275 N through the patellar tendon. This force is applied at an angle of 25.0° to the section of the tibia between the attachment point and the rotation axis. What is the torque (in N - m) exerted by the muscle on the lower leg during this motion? (Enter the magnitude.) N.m (b) What is the power (in W) generated by the athlete during the motion? W b (c) Modeling the lower leg as a thin rod with mass 4.60 kg and length 45.0 cm, what is the kinetic energy (in J) of the lower leg during the motion? J
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