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arxiv 2204.10917 v1 pith:INALHEBF submitted 2022-04-22 cond-mat.soft physics.class-ph

Coefficient of restitution of a linear dashpot on a rigid surface

classification cond-mat.soft physics.class-ph
keywords ballbouncingcoefficientdashpotgravityhybridimpactlinear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The linear dashpot model is applied to a single ball bouncing on a rigid surface. It is shown that when gravity is included the coefficient of restitution depends on impact velocity, in contrast to previous work that ignored the effects of gravity. This velocity dependence is most pronounced at low impact velocities and high damping. Previous work has considered the ball to be in contact with the floor when the compression is nonzero, while other analysis terminates the collision earlier, to prevent an attractive force. We compare these models and propose a hybrid between the two. The hybrid model is successful in reproducing experimental results for a cart bouncing repeatedly on a spring.

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