Question
Medium
Solving time: 3 mins
Consider a two particle system with particles having masses and . If the first particle is pushed towards the centre of mass through a distance , by what distance should the second particle be moved, so as to keep the centre of mass at the same position? (a) (b) (c) (d)
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Text solutionVerified
Exp. c
To keep the centre of mass at the same position, velocity of centre of mass is zero, so
where, and are the velocities of particles 1 and 2 , respectively.
and
of particles. represent the change in displacement
Let 2nd particle has been displaced by distance or
Alternate Solution
After moving through a distance towards and to keep the position of unchanged, let be the shift of .
From Eqs. (i) and (ii), we get
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Question Text | Consider a two particle system with particles having masses and . If the first particle is pushed towards the centre of mass through a distance , by what distance should the second particle be moved, so as to keep the centre of mass at the same position?
(a)
(b)
(c)
(d) |
Updated On | May 23, 2023 |
Topic | System of Particles and Rotational Motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 9 |
Upvotes | 1047 |
Avg. Video Duration | 8 min |