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A massless rod of length 2R has masses m1 attached to each end. The rod is free to rotate on the surface of a frictionless table about a pin attached to its center C. A mass m2 is moving across the table at speed v perpendicular to the rod and is aimed directly at one of the masses m1 as shown in the diagram. At time t = 0, m2 collides with m1 and sticks instantaneously, setting into rotation about C. (a) Determine the total linear momentum P of the rod and mass system following the collision. Give both the x and y components and specify their time dependencies, if any. (b) Determine the force F exerted by the pin at C. Give x and y components and specify their time dependencies, if any.
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