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)

Question ID - 100173 :- 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)

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(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

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