A rod of mass M and Length L is hinged to the floor as shown in the figure. It is released from rest at vertical. The rod falls and hits the floor. Assume no friction in the hinge. (a) As the rod falls from the vertical to horizontal position, what is the change in its potential energy?

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PART C
A rod of mass M and Length L is hinged to
the floor as shown in the figure. It is
released from rest at vertical. The rod falls
M.
and hits the floor. Assume no friction in the
hinge.
(a) As the rod falls from the vertical to
horizontal position, what is the change in its
potential energy?
(b) Using conservation of energy, calculate the angular velocity of the rod when it hits the
ground.
(c) At what speed will the mid-point of the rod hit the ground?
(d) At what speed will the free end of the rod hit the ground?
Transcribed Image Text:PART C A rod of mass M and Length L is hinged to the floor as shown in the figure. It is released from rest at vertical. The rod falls M. and hits the floor. Assume no friction in the hinge. (a) As the rod falls from the vertical to horizontal position, what is the change in its potential energy? (b) Using conservation of energy, calculate the angular velocity of the rod when it hits the ground. (c) At what speed will the mid-point of the rod hit the ground? (d) At what speed will the free end of the rod hit the ground?
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