14.2 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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    Vishal Baghel | Contributor-Level 10

    5 months ago

    (a) During its rotation about its axis, earth comes to the same position again and again in equal intervals of time. Hence it is a periodic motion. However, this motion is not simple harmonic, as earth does not have to and fro motion about its axis.

     

    (b) An oscillating mercury column in a U-tube is simple harmonic. This is because the mercury moves to and fro on the same path, about the fixed position, with a certain period of time.

     

    (c) The ball moves to and fro about the lowermost point of the bowl when released. Also the ball comes back to its initial position in the same period of time, again and again. Hence, its motion

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