A simple pendulum , made of a string of length l and a bob of mass m , is released from a small angle . It strikes a block of mass M , kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes upto angle . Then M is given by :
Coffecient of Restitution (e) -
- wherein
Ratio of relative velocity after collision to relative velocity before collision.
Perfectly Elastic Collision -
- wherein
before Collision After collision
apply momentum conservation
from energy balance
we get
&
Put value of & in
For elastic collision
put in equation(2)
We get
By componendo & dividendo
Study 40% syllabus and score up to 100% marks in JEE