(1) Fm Fmn mn Fm B W₁ e Fmt W 0 Fit Wt 0 W Fit Fin n Fmt n As illustrated in Fig. consider the person performing extension/flexion movements of the lower leg about the knee joint (point O) to investigate the forces and torques produced by muscles crossing the knee joint. The setup of the experiment is described in Example above. The geometric parameters of the model under investigation, some of the forces acting on the lower leg and its free-body diagrams are shown in Figs. and For this system, the angular displacement, angular velocity, and angular accelera- tion of the lower leg were computed using data obtained during the experiment such that at an instant when 0 = 65°, @ = 4.5 rad/s, and a = 180 rad/s². Furthermore, for this sys- tem assume that a = 4.0 cm, b = 23 cm, ß = 25°, and the net torque generated about the knee joint is M₁ = 55 Nm. If the torque generated about the knee joint by the weight of the lower leg is Mw 11.5 Nm, determine: = The moment arm a of Fm relative to the knee joint's center of rotation O (a) The mass moment of inertia of the lower leg about the knee joint (b) The weight of the lower leg (c) The tension in the patellar tendon (d) The reaction force at the knee joint 1

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
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(1) Fm Fmn mn Fm B W₁ e Fmt W 0 Fit Wt 0 W Fit Fin n Fmt n As illustrated in Fig. consider the person performing extension/flexion movements of the lower leg about the knee joint (point O) to investigate the forces and torques produced by muscles crossing the knee joint. The setup of the experiment is described in Example above. The geometric parameters of the model under investigation, some of the forces acting on the lower leg and its free-body diagrams are shown in Figs. and For this system, the angular displacement, angular velocity, and angular accelera- tion of the lower leg were computed using data obtained during the experiment such that at an instant when 0 = 65°, @ = 4.5 rad/s, and a = 180 rad/s². Furthermore, for this sys- tem assume that a = 4.0 cm, b = 23 cm, ß = 25°, and the net torque generated about the knee joint is M₁ = 55 Nm. If the torque generated about the knee joint by the weight of the lower leg is Mw 11.5 Nm, determine: = The moment arm a of Fm relative to the knee joint's center of rotation O (a) The mass moment of inertia of the lower leg about the knee joint (b) The weight of the lower leg (c) The tension in the patellar tendon (d) The reaction force at the knee joint 1
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