Question

Please solve all parts.

#3. A uniform rod B of mass mg is placed inside tube A of mass mA. Both bodies are slender rods, homogeneous, and of length L. Initially B is held inside A by a lightweight cap (not shown) that covers the end of tube A while the assembly is spinning freely with the angular velocity wi about the z-axis. The cap then falls off, allowing the rod to slide out of the tube. If Tube B slides fully out of A but is magically held in place, determine the following (a) (10 pts) Draw and label vectors for the included Free body diagram and kinetic diagram. Draw separate force and acceleration vectors for each mass FBD Kinetic t1 tz C (b) (10 pts) Using the parallel axis theorem, determine the moment of inertia about the center of rotation at point O at time, t1 when B is fully inside A, and t2 when B is fully extended out of A. Simplify your answer. () Symbolic lo(tz) Symbolic (c) (10 pts) Assuming there is no friction, determine the angular velocity w2 of the assembly when rod B is full extended out of tube A. Use conservation of momentum. Keep answer symbolic and ONLY in terms of mA, mg, and w1. W2= Symbolic

Answer 1

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3 3 At tz 3 3 2 2 Sonsernedd c) ne momenhum