# exs02 - Sample Midterm 2 1(33 points A bullet of mass m is...

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Sample Midterm 2 1. (33 points) A bullet of mass m is Fred with a speed of v b at the center of a rod of mass M = 3 m and length L The trajectory of the bullet makes an angle of θ with the horizontal. The rod hangs vertically from a pivot attached to the ceiling, and is at rest before the collision. The bullet becomes embedded in the rod after impact. What is the angular velocity of the rod after the collision? The moment of inertia of the rod for rotations about the pivot is 1 3 ML 2 .

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2. A stunt man wants to swing on a rope across a chasm in a cave, starting from a position where the rope is horizontal as shown. He has tested the rope, and he knows it can hold exactly twice his weight before it breaks. (a) (23 points) Draw a force diagram for the stunt man at an arbitrary position θ in his swing, assuming that the rope does not break. Use this to Fnd an expression for
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exs02 - Sample Midterm 2 1(33 points A bullet of mass m is...

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