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

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

7.
In the absence of external forces, the motion of the center of mass of a system is:
A.
Parabolic
B.
Linear
C.
Circular
D.
Elliptical
ANSWER :
A. Parabolic
8.
A uniform disc and a uniform ring of equal mass and radius have their centers of mass at:
A.
Same point
B.
Different points
C.
Depends on shape
D.
Depends on density
ANSWER :
A. Same point
9.
A projectile explodes in mid-air into two fragments. The center of mass of the system:
A.
Follows a new trajectory
B.
Remains the same
C.
Moves in the original trajectory
D.
Moves randomly
ANSWER :
B. Remains the same
10.
In a rigid body, the distance between particles:
A.
Changes
B.
Remains fixed
C.
Deforms
D.
Changes depending on motion
ANSWER :
B. Remains fixed
11.
The velocity of the center of mass of a system of particles is given by:
A.
Sum of individual velocities
B.
Product of individual masses
C.
Mass-weighted average of velocities
D.
Depends on forces
ANSWER :
C. Mass-weighted average of velocities
12.
Three particles of masses 1 kg, 2 kg, and 3 kg are placed at the corners of an equilateral triangle of side 1 m. The center of mass of the system is at a distance from the 1 kg mass:

NEET - 2020

A.
0.5 m
B.
0.6 m
C.
0.7 m
D.
0.8 m
ANSWER :
B. 0.6 m