1) A rod of length L and mass 3m is free to rotate without friction in a horizontal plane about a pivot at its center-of-mass (CM) which is held fixed. The rod is initially at rest. An object of mass m and speed v travelling perpendicular to the rod collides with the rod and sticks at one end. (a) What is the angular velocity o of the rod after impact? (b) How much kinetic energy is lost after the collision? m CM L

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1) A rod of length L and mass 3m is free to rotate without friction in a horizontal
plane about a pivot at its center-of-mass (CM) which is held fixed. The rod is
initially at rest. An object of mass m and speed v travelling perpendicular to the
rod collides with the rod and sticks at one end.
(a) What is the angular velocity o of the rod after impact?
(b) How much kinetic energy is lost after the collision?
m
CM
L
Transcribed Image Text:1) A rod of length L and mass 3m is free to rotate without friction in a horizontal plane about a pivot at its center-of-mass (CM) which is held fixed. The rod is initially at rest. An object of mass m and speed v travelling perpendicular to the rod collides with the rod and sticks at one end. (a) What is the angular velocity o of the rod after impact? (b) How much kinetic energy is lost after the collision? m CM L
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