Oscillations
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Question : 2
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Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?
(a) The rotation of earth about its axis.
(b) Motion of an oscillating mercury column in a U-tube.
(c) Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most point.
(d) General vibrations of a polyatomic molecule about its equilibrium position.
(a) The rotation of earth about its axis.
(b) Motion of an oscillating mercury column in a U-tube.
(c) Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most point.
(d) General vibrations of a polyatomic molecule about its equilibrium position.
Solution:
(a) It is periodic but not simple harmonic motion because it is not to and fro motion about a fixed point.
(b) It is simple harmonic motion.
(c) It is simple harmonic motion.
(d) It is periodic but not simple harmonic motion. A polyatomic molecule has a number of natural frequencies and its general motion is the resultant of simple harmonic motions of a number of different frequencies. The resultant motion is periodic but not simple harmonic motion.
(b) It is simple harmonic motion.
(c) It is simple harmonic motion.
(d) It is periodic but not simple harmonic motion. A polyatomic molecule has a number of natural frequencies and its general motion is the resultant of simple harmonic motions of a number of different frequencies. The resultant motion is periodic but not simple harmonic motion.
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