7. A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane, as shown below. The rod is released from rest in the horizontal position. (a) Using conservation of energy, find the angular speed of the rod when it reaches its lowest position. (b) Assume a bug of mass "m" is sitting on the edge of the rod when it was released, what would the bug's translational speed be when the rod reaches the lowest point?

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Chapter1: Units, Trigonometry. And Vectors
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7. A uniform rod of length L and mass M is attached at one end to a frictionless pivot
and is free to rotate about the pivot in the vertical plane, as shown below. The rod
is released from rest in the horizontal position. (a) Using conservation of energy, find
the angular speed of the rod when it reaches its lowest position. (b) Assume a bug of
mass "m" is sitting on the edge of the rod when it was released, what would the bug's
translational speed be when the rod reaches the lowest point?
Transcribed Image Text:7. A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane, as shown below. The rod is released from rest in the horizontal position. (a) Using conservation of energy, find the angular speed of the rod when it reaches its lowest position. (b) Assume a bug of mass "m" is sitting on the edge of the rod when it was released, what would the bug's translational speed be when the rod reaches the lowest point?
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