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Question
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
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Solution
The rotation of the earth is not a to and fro motion which is essential condition for the SHM motion. Hence it is not a SHM motion.
This is a SHM motion as it is a periodic motion.
This is periodic motion which is in oscillatory motion and periodic about it’s lower mean position, hence it is called SHM motion.
The general vibration of the polyatomic molecule about its mean position is a periodic motion but not necessarily a SHM.
The rotation of the earth is not a to and fro motion which is essential condition for the SHM motion. Hence it is not a SHM motion.
This is a SHM motion as it is a periodic motion.
This is periodic motion which is in oscillatory motion and periodic about it’s lower mean position, hence it is called SHM motion.
The general vibration of the polyatomic molecule about its mean position is a periodic motion but not necessarily a SHM.
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