Multiple choice question

The coefficient if restitution is defined on basis of ________

a)Velocity compound along the line of impact only
b)Velocity compound normal to the line of impact
c)Velocity vectors before and after collision
d)Energies of bodies before and after the impact

The velocity of cylinder which is released from rest on θ degree incline after it has rolled through a distance l is given by ______.

multiple choice question

for a perfectly plastic central impact______
(A)the entire kinetic energy of two bodies must be lost
(B)the two bodies must move stuck together whether the impact is direct or indirect the two bodies must move stuck together only if the impact is direct

To find the correct answer to this multiple-choice question, let's break down each option and determine which one defines the coefficient of restitution.

a) Velocity compound along the line of impact only: The coefficient of restitution does not consider only the velocity component along the line of impact. It takes into account other factors as well, so this option is incorrect.

b) Velocity compound normal to the line of impact: The coefficient of restitution does not specifically consider only the velocity component normal to the line of impact. It considers various factors, so this option is incorrect.

c) Velocity vectors before and after the collision: The coefficient of restitution is defined based on the velocity vectors before and after the collision. This option addresses the correct concept. We usually calculate the change in velocity for each object involved in the collision and then use these velocities to calculate the coefficient of restitution. This option is likely correct.

d) Energies of bodies before and after the impact: The coefficient of restitution is not specifically defined based on the energies of bodies before and after the impact. It is primarily concerned with the velocities, so this option is incorrect.

In conclusion, the correct answer to the multiple-choice question is:

c) Velocity vectors before and after the collision

c)Velocity vectors before and after collision