Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?
(a) motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most point.
(b) general vibrations of a polyatomic molecule about its equilibrium position.
Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?
(a) motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most point.
(b) general vibrations of a polyatomic molecule about its equilibrium position.

(a) Simple harmonic motion

(b) SHM is not periodic, although general vibrations of a polyatomic molecule about its equilibrium position are. The inherent frequencies of a polyatomic molecule are numerous. As a result, its vibration is a combination of simple harmonic motions at various frequencies.