Question

A system consists of masses M and m. The Centre of Mass of the system is

Answer 1

Center of mass will  be located nearer to M.

Explanation:

Consider a system made up of two particles whose mass are m and M, and their respective position vectors with respect to origin O be r1, r2 and

R  be the position vector of center of mass of the system.

Let M' = M + m

ad M > m

The position of center of mass for two particle system is given by

M'R = Mr 1  + mr 2

By definition:

M'R = 0

Hence mR1 = - mr2

Negative sign indicates that masses are present on either sides of center of mass.

Since M > m

Center of mass will  be located nearer to M.

Also learn more

"A bullet of mass 0.01 kg and travelling at a speed of 500 m/s strikes a block which is suspended by a string of length 5 m. The centre of gravity of the block is found to rise a distance of 0.1 m. What is the speed of bullet after it emerges from the block?"

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Answer 2

Correct Question: A system consists of masses M and m ( << M). The Centre of Mass of the system is?

Answer:

The centre of mass of the system is Nearer to M.

Explanation:

Clearly, the mass m << M indicating that the mass of M is greater than that of m. We know that, centre of mass of a system is observed closer to the heavier object.

Therefore, the centre of mass of the given system is closer or nearer to larger/heavier mass M.

Hope it helps! ;-))