Problem of impact:
Generally, it is noticed that in analyzing the problem of impact there are five unknowns as follows :
(i) Final velocities V1′ and V2′ ,
(ii) Common velocity Vc at the instant of maximum deformation, and
(iii) The impulse (I)
(a) during deformation =
![1963_Problem of impact.png](https://www.expertsmind.com/CMSImages/1963_Problem%20of%20impact.png)
(b) during recovery =
![404_Problem of impact1.png](https://www.expertsmind.com/CMSImages/404_Problem%20of%20impact1.png)
Though, number of equations involves are only 4 as specified by Eqs. (2) to (5). Newton has mentioned one more experimental - based coefficient called coefficient of restitution (e) which is described as
![85_Problem of impact2.png](https://www.expertsmind.com/CMSImages/85_Problem%20of%20impact2.png)
e is termed as the ratio of impulse during recovery to that during deformation. e values are to be find out experimentally in certain ranges of values of velocity of approach. Table gives the idea of values of e when approach velocity is about 2 to 3 m/sec.
Table: Coefficient of Restitution of Materials
![308_Problem of impact3.png](https://www.expertsmind.com/CMSImages/308_Problem%20of%20impact3.png)