The coefficient of restitution does not depend either on the size of the bodies, or on their relative velocity; and it is determined only by the properties of their material. Let us describe the process of modelling of an abnormal situation. The system motion is described by the elementary model 2.18 where the tension force is determined. Impacts and the Coefficient of Restitution. Reading Assignment: Bernardo, S. Physics of the sweet spot. Science Digest, pp. 62-65, 95; Bryant, F.O.,.
A bouncing basketball captured with a stroboscopic flash at 25 images per second: Ignoring, the square root of the ratio of the height of one bounce to that of the preceding bounce gives the coefficient of restitution for the ball/surface impact.The coefficient of restitution ( COR) is a measure of the 'restitution' of a collision between two objects: how much of the kinetic energy remains for the objects to rebound from one another vs. How much is lost as heat, or work done deforming the objects.The coefficient, e is defined as the ratio of relative speeds after and before an impact, taken along the line of the impact:Alternatively, this may be expressed as:The mathematics were developed by Sir in 1687. It is also known as Newton's experimental law. Further detailsLine of impact- It's the line along which 'e' is defined or in absence of tangential reaction force between colliding surfaces force of impact is shared along this line between bodies. During physical contact between bodies during impact its line along common normal to pair of surfaces in contact of colliding bodies. Hence 'e' is defined as 1-D parameter which is unit-less.
Range of values for e -treated as a constante is usually a positive, real number between 0 and 1.0:e = 0: This is a perfectly 'inelastic' collision. The objects do not move apart after the collision, but instead they coalesce. Kinetic energy is converted to heat or work done in deforming the objects.0 1: This would represent a collision in which energy is released, for example, billiard balls can literally explode at the point of impact. Also, some recent articles have described superelastic collisions in which it is argued that the COR can take a value greater than one in a special case of oblique collisions.
These phenomena are due to the change of rebound trajectory caused by friction. In such collision kinetic energy is increased in a manner energy is released in some sort of explosion. It is possible that for a perfect explosion of a rigid system.Maximum deformation phase-In any collision for 0. Cross, Rod (2006).
Physics Department, University of Sydney, Australia. Retrieved 2008-01-16. In this paper, the dynamics of a bouncing ball is described for several common ball types having different bounce characteristics.
Results are presented for a tennis ball, a baseball, a golf ball, a superball, a steel ball bearing, a plasticene ball, and a silly putty ball. Walker, Jearl (2011). Fundamentals Of Physics (9th ed.). David Halliday, Robert Resnick, Jearl Walker. 978-0-470-56473-8.External links. Bennett & Meepagala (2006).
The Physics Factbook. Bowley, Roger (2009).
Sixty Symbols.