Two particles of masses 5 ,g and 3 ,g are sep | vedclass

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

Question

(A) Let the position of the $5 \,g$ particle be at $x_1 = 0 \,cm$ and the position of the $3 \,g$ particle be at $x_2 = 40 \,cm$.The formula for the c

Vedclass · Accepted Answer

lies at a distance of $15 \,cm$ from $5 \,g$ particle

Vedclass · Answer

(A) Let the position of the $5 \,g$ particle be at $x_1 = 0 \,cm$ and the position of the $3 \,g$ particle be at $x_2 = 40 \,cm$.The formula for the centre of mass $x_{cm}$ is given by:$x_{cm} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}$Substituting the given values:$x_{cm} = \frac{5 	imes 0 + 3 	imes 40}{5 + 3}$$x_{cm} = \frac{120}{8} = 15 \,cm$This means the centre of mass is at a distance of $15 \,cm$ from the $5 \,g$ particle and at a distance of $40 - 15 = 25 \,cm$ from the $3 \,g$ particle.Therefore,the centre of mass lies at a distance of $15 \,cm$ from the $5 \,g$ particle.

Two particles of masses $5 \,g$ and $3 \,g$ are separated by a distance of $40 \,cm$. The centre of mass of the system of these two particles

Similar Questions

Four bodies of equal mass start moving with the same speed as shown in the figure. In which of the following combinations will the centre of mass remain at the origin?

$A$ system consists of $3$ particles each of mass $m$ located at $(1, 1), (2, 2),$ and $(3, 3)$. The coordinates of the centre of mass are

The linear mass density of a $3 \ m$ long rod varies as $\lambda = 2 + x$. The position of the center of mass of the rod is at:

If the density of the material of a circular plate and a square plate as shown is the same,the center of mass of the composite system will be:

Four particles of masses $m_1 = 2m$,$m_2 = 4m$,$m_3 = m$,and $m_4$ are placed at the four corners of a square. What should be the value of $m_4$ so that the centre of mass of all the four particles is exactly at the centre of the square?

Vedclass Test Series

Exam Paper Generator

Online Exam Module