A 2kg body and a 3 kg body are moving along the x axis. At a particular instant,the 2 kg body is 1 m from the origin and has a velocity of 3 m/s and the 3 kg body is 2 m from the origin and has a velocity of -1m/s .Find the position of the centre of the mass .

Open in App

Solution

Since both the bodies are moving on the X-axis:
The Position (x-coordinate) of the COM,
x = (m₁x₁ + m₂x₂)/(m₁+m₂) = (2 Ã— 1 + 3 Ã— 2)/(2+3) = 1.6 m

Suggest Corrections

Similar questions

Q. A

2 k g

body and a

3 k g

body are moving along the x-axis. At a particular instant the

2 k g

body has a velocity of

3 m s^{- 1}

an dthe

3 k g

body has the velocity of

2 m s^{- 1} .

The velocity of the centre of mass at that instant is :-

A body of mass $5 k g$ is moving along the x-axis with a velocity $2 m s^{- 1}$ . Another body of mass $10 k g$ is moving along the y-axis with a velocity $\sqrt{3} m s^{- 1}$ . They collide at the origin and stick together. The final velocity of the combined mass is