37. The following diagram shows the forces acting on the thigh of a person running. Note: this diagram is for illustrative purposes only; it is not a complete free body diagram. The directions of the forces are shown on the diagram, together with their magnitudes. In addition to the forces illustrated in the diagram, there is a torque of 240 Nm acting on the distal end of the segment (the lower end) which tends to rotate the segment in a clockwise direction. The table below gives other data related to the segment, which may be needed to calculate the forces and torques acting on the segment.
(A) Calculate the vertical component of the proximal joint force (2 marks)
(B) Calculate the torque acting at the proximal end of the thigh. (5 marks)
$F_{py}=?$
(0.85, 2.370)
$T_p=?$
130 N
(0.915, 2.210)
(1.0, 2.0)
$T_d=240$ Nm
1796 N
Segment Length 0.40 m
Segment Mass 7.5 kg
Moment of Inertia 0.125 kg $m^2$ (about its centre of mass)
Angular Velocity -2.1 rad $s^{-1}$
Angular Acceleration -55 rad $s^{-2}$
Horizontal Acceleration -29.1 m $s^{-2}$
Vertical Acceleration -11.9 m $s^{-2}$