The center of mass of a system of particles is so defined that
A)it is always at rest.
B)it is always at rest or moving with constant velocity.
C)it always moves in a straight line even if the particles are rotating about it.
D)the kinetic energy of the system is a maximum about any axis through the center of mass.
E)its location depends only on the masses of the particles and their locations.

Question

Quizplus · Accepted Answer

The center of mass of a system of particles is defined as the point at which the mass of the system can be assumed to be concentrated. Its location depends only on the masses of the particles and their locations, making choice E the correct answer. The other options are incorrect. The center of mass may be in motion with varying velocities, and it may not always move in a straight line, especially if the particles are rotating about it. The kinetic energy of the system is not necessarily a maximum about any axis through the center of mass.

The Center of Mass of a System of Particles Is