Rotational Motion Question 1

Question: Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is

[AIEEE 2002]

Options:

A) v

B) v/3

C) v/2

D) zero

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Answer:

Correct Answer: C

Solution:

  • [c] Let mass of each body be m.

The velocity of centre of mass is VCM=m1v1+m2v2m1+m2

VCM=m×2vmvm+m=v2 (the direction of motion of first particle is taken as positive)

So, velocity of centre of mass of the system is v in the direction of motion of particle having larger speed.



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