Centre of the Mass (Two-Particle System, Rigid Body) NEET Questions

Centre of the Mass (Two-Particle System, Rigid Body) MCQ Questions

1.
What is the position of the center of mass of a two-particle system?
A.
At the midpoint of the two masses
B.
At the position of the heavier mass
C.
At the position of the lighter mass
D.
At an arbitrary location
ANSWER :
C. At the position of the lighter mass
2.
If two masses are equal in a two-particle system, the center of mass is located at:
A.
The midpoint between them
B.
One-third the distance from either mass
C.
At one-fourth the distance from the heavier mass
D.
One-half the distance from either mass
ANSWER :
B. One-third the distance from either mass
3.
Which of the following is true about the center of mass of a system?
A.
It always coincides with the geometric center
B.
It can be outside the body
C.
It is always inside the system
D.
It is independent of mass distribution
ANSWER :
B. It can be outside the body
4.
For a system of particles, the center of mass moves as if:
A.
Only due to internal forces
B.
Only due to external forces
C.
As if all the mass were concentrated at one point
D.
It is always at rest
ANSWER :
C. As if all the mass were concentrated at one point
5.
Two particles of masses 3 kg and 6 kg are separated by a distance of 12 m. The center of mass of the system from the 3 kg mass is:

NEET - 2018

A.
4 m
B.
6 m
C.
8 m
D.
9 m
ANSWER :
B. 6 m
6.
A system of two particles of unequal mass is rotating about their center of mass. The heavier particle:
A.
Remains stationary
B.
Moves faster
C.
Moves slower
D.
Remains at rest
ANSWER :
B. Moves faster