The rebound height of a capsule-shaped object

Abstract

The bouncing process of an irregular object falling on the ground contains many interesting mechanical problems. The article investigated the bounce height of a capsule-shaped object when it falls on the ground. The variation of three physical quantities, namely the angle of the object, the linear velocity of the center of mass and the angular velocity relative to the center of mass when it fell on the ground are studied. According to the limit condition of friction, the three-dimensional phase diagram of the above three physical quantities was drawn when the fall height of the capsule-shaped object and the bounce height was equal. The movement of the capsule-shaped object is captured by using two cameras positioned perpendicular to each other. The trajectory was tracked by TRACKER software to obtain the fall height and bounce height of the capsule. When the bounce height was higher than the fall height, it was marked with a red dot. If both heights were equal, it was marked with a black dot. Otherwise, it was marked with a blue dot. Different types of experimental data points are plotted in the phase diagram. A large amount of random experimental data verifies the correctness of the theory.