A simple pendulum, made of a string of length l and a bob of mass m, is released from a small angle 0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle
1. Then M is given by
a. |
|
b. |
|
c. |
|
d. |
m |
A simple pendulum, made of a string of length l and a bob of mass m, is released from a small angle 0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle
1. Then M is given by
a. |
|
b. |
|
c. |
|
d. |
m |
Before collision After collision
v= v1 =
By momentum conservation
m = MVm − m
⇒
= MVm
and e=1=
(
) = Vm …(I)
(
) = MVm … (II)
Dividing
=
By componendo divided
=
=
⇒ =
⇒ M= m