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Is the rotational kinetic energy part of center-of-mass kinetic energy or part of internal energy? (A) It is definitely part of the center-of-mass kinetic energy. (B) It is definitely part of the internal energy. (C) It could be either, depending on how the system is de- fined. (D) It could be either, because you can always find an inertial frame where the body is not rotating. (E) It is part of neither the center-of-mass energy nor the internal energy.

Is the rotational kinetic energy part of center-of-mass kinetic energy or part of internal energy?
(A) It is definitely part of the center-of-mass kinetic energy.
(B) It is definitely part of the internal energy.
(C) It could be either, depending on how the system is de- fined.
(D) It could be either, because you can always find an inertial frame where the body is not rotating.
(E) It is part of neither the center-of-mass energy nor the internal energy.

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
The correct option is (A) it is definitely part of the center-of-mass kinetic energy.
The rotational kinetic energy (Erot) is defined as,
Erot = ½ Iw2
Here I is the rotational moment of inertia and w is the angular frequency.
Since the axis of rotation is around the center of mass of the system, thus the rotational kinetic energy is definitely part of center of mass kinetic energy of the system. Therefore option (A) is correct.

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