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A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.) Find the angular spoed of the incoming rod just before the collision. (b)(7 pts.) Find the angular velocity of two rods just after the collision. (c)(13 pts.) Find the maximum angular displacement from the vertical.

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