Question

1. A piece of thin-walled pipe and a spring are lying on their sides on a level table. The spring is kept compressed and the pipe is placed against one end of it such that when the spring is let go, it will push against the pipe and start it rolling without slipping on the table (i.e., the length of the spring is perpendicular to the length of the pipe; the other end of the spring is fixed). If the pipe has total mass 0.5 kg and radius 0.10 m, and the spring has spring constant 15 N/m and is compressed to a length that is 0.2 m shorter than its equilibrium length.Determine the pipe’s speed once it has lost contact with the spring. Give your numerical answer for the relevant moment of inertia of the pipe. Give the numerical factor by which one has to multiply the angular speed of the pipe to obtain the speed of the pipe.

Answer 1