CameraIcon

SearchIcon

MyQuestionIcon

222

You visited us 222 times! Enjoying our articles? Unlock Full Access!

Displacement of COM:Application

Two bodies of...

Question

Two bodies of masses $m_{1}$ and $m_{2}$ are separated by a distance $R$ . The distance of the centre of mass of the bodies from the mass $m_{1}$ is

A

\frac{m_{2} R}{m_{1} + m_{2}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

\frac{m_{1} R}{m_{1} + m_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

\frac{m_{1} m_{2}}{m_{1} + m_{2}} R

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

\frac{m_{1} + m_{2}}{m_{1}} R

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{m_{2} R}{m_{1} + m_{2}}$
The position of center of mass of system of two particles is $\frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}}$
Hence position of center of mass of particles with respect to mass $m_{1}$ $= \frac{m_{1} (0) + m_{2} R}{m_{1} + m_{2}}$
$= \frac{m_{2} R}{m_{1} + m_{2}}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The centre of mass of a system of two particles of masses

m_{1}

m_{2}

is at a distance

a_{1}

m_{1}

and at a distance

a_{2}

m_{2}

Q. The position of the centre of mass of a system consisting of two particles of masses

m_{1}

m_{2}

, separated by distance

L

m_{2}

Q. Same force acts on two bodies of masses

m_{1}

m_{2}

m_{2}

m_{1}

). After travelling the same distance,

Q. A circular pulley of mass

^{'} M^{'}

^{'} R^{'}

, is hinged at the centre. A long string is wound over this disc and two bodies of mass

m_{1}

m_{2}

are attached at its free ends. Now the bodies are released. Find the acceleration of each body.

Q. The two bodies of masses

m_{1}

m_{2} (m_{1} > m_{2})

respectively are tied to the ends of a string which passes over a light frictionless pulley. The masses are initially at rest and released. The acceleration of the centre of mass is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Centre of Mass in Galileo's World

PHYSICS

Watch in App

explore_more_icon

Explore more

Displacement of COM:Application

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon