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CBSE Class 11-science Answered

Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion? (i)  The rotation of the earth about its axis. (ii)  The motion of an oscillatory mercury column in a U-tube. (iii)  Motion of a ball-bearing inside a smooth curved bowl, when released from a point slightly above the lowermost position. (iv)  General vibration of a polyatomic molecule about its equilibrium configuration.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

(ii) and (iii)  represent SHM as in both the cases the motion is to and fro about its mean position and the restoring force is proportional to displacement, but is in opposite direction to the displacement.

(i) and (iv) represent periodic motion as in (i) there is no to and fro motion, and in (iv) the polyatomic molecule has a number of natural frequencies, and in general its vibration is a superposition of SHM's of a number of different frequencies.  This superposition is periodic but not SHM.

Answered by | 04 Jun, 2014, 03:23: PM

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