SATHEE: Rotational Motion Question 13

Rotational Motion Question 13

Question: Consider a two particle system with particles having masses $m_{1}$ and $m_{2}$ . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

[AIEEE 2006]

Options:

A) $\frac{m_{2}}{m_{1}} d$

B) $\frac{m_{1}}{m_{1} + m_{2}} d$

C) $\frac{m_{1}}{m_{2}} d$

D) $d$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] To keep the centre of mass at the same position, velocity of centre of mass is zero, so $\frac{m_{1} {\vec{v}}_{1} + m_{2} {\vec{v}}_{2}}{m_{1} + m_{2}} = 0$ (where, ${\vec{v}}_{1}$ and ${\vec{v}}_{2}$ are velocities of particles 1 and 2 respectively)

$\Rightarrow$ (and represent the small change in displacement so that andof particles)

Let 2nd particle has been displaced by distance then

Negative sign shows that both the particles have to move in opposite directions.

So,is the distance moved by 2nd particle to keep position of centre of mass unchanged.

Rotational Motion Question 13

Question: Consider a two particle system with particles having masses $m_{1}$ and $m_{2}$ . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

Options:

Answer:

Solution:

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Rotational Motion Question 13

Question: Consider a two particle system with particles having masses m1 and m2 . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: Consider a two particle system with particles having masses $m_{1}$ and $m_{2}$ . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?