Two pendulums each of length are initially situated as shown in fig. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?

a) |
b) |
c) |
d) |

Two pendulums each of length are initially situated as shown in fig. The first pendulum is released and strikes the second. Assume that the collision is completely inelastic and neglect the mass of the string and any frictional effects. How high does the centre of mass rise after the collision?

a) |
b) |
c) |
d) |

1 Answer - 5876 Votes

3537

**(a)**

Applying the law of conservation of momentum,

(i)

Where is the velocity with which collides with

Therefore,

Now,let the centre of mass rise through a height after collision. In this case, the kinetic energy of system is converted into potential energy at maximum height