When experiment and energy conservation collide: video analysis of an unrolling mat

摘要

A mat consisting of round bamboo rods connected by strings perpendicular to their axes unrolls without slipping on a horizontal table. Video analysis is used to measure the position of the centre of the remaining roll as a function of time. It is found to accelerate with time due to the 'rocket effect' of the roll ejecting rods backward relative to itself. Mechanical energy is not conserved because of the inelastic collisions of the rods with the table. The fitted coefficient of restitution (COR) is 0.59 +/- 0.04 which is consistent with known values for wood on wood. In support of this explanation, progressively smaller values of the COR are found when the mat is unrolled on a flat woven rug and on a shock-absorbing pad. The level of analysis is appropriate to an undergraduate course in physical mechanics.