In a system,two particles of masses m_1 = 3 t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The displacement of the center of mass is given by the formula: $\Delta X_{	ext{COM}} = \frac{m_1 \Delta x_1 + m_2 \Delta x_2}{m_1 + m_2}$.Since

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(D) The displacement of the center of mass is given by the formula: $\Delta X_{	ext{COM}} = \frac{m_1 \Delta x_1 + m_2 \Delta x_2}{m_1 + m_2}$.Since the center of mass must remain at its original position,the net displacement of the center of mass is zero,i.e.,$\Delta X_{	ext{COM}} = 0$.Let the displacement of $m_1$ be $\Delta x_1 = +2 	ext{ cm}$ (towards the center of mass) and the displacement of $m_2$ be $\Delta x_2 = -x$ (towards the center of mass).Substituting the values into the equation:$0 = \frac{3 	imes 2 + 2 	imes (-x)}{3 + 2}$$0 = \frac{6 - 2x}{5}$$6 - 2x = 0$$2x = 6$$x = 3 	ext{ cm}$.Therefore,the particle of mass $m_2$ must move by $3 	ext{ cm}$ towards the center of mass.

Similar Questions

Two particles $A$ and $B$ initially at rest move towards each other under a mutual force of attraction. At the instant when the velocity of $A$ is $v$ and that of $B$ is $2v$,the velocity of the centre of mass of the system is:

Two particles of masses $m_1$ and $m_2$ initially at rest start moving towards each other under their mutual force of attraction. The speed of the centre of mass at any time $t$,when they are at a distance $r$ apart,is

$A$ man of mass $M$ stands at one end of a plank of length $L$ which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is $3M$,the distance that the man moves relative to the ground is:

$A$ $500\,kg$ boat is $9\,m$ long and is floating without motion on still water. $A$ man of mass $100\,kg$ is at one end and if he runs to the other end of the boat and stops,the displacement of the boat is

Vedclass Test Series

Exam Paper Generator

Online Exam Module