Oscillations - Result Question 11

14. Which one of the following equations of motion represents simple harmonic motion?

[2009]

(a) Acceleration =k(x+a)

(b) Acceleration =k(x+a)

(c) Acceleration =kx

(d) Acceleration =k0x+k1x2 where k,k0,k1 and a are all postive.

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Answer:

Correct Answer: 14. (a)

Solution:

  1. (a) acceleration, a=kX, where, X=x+a.

In simple harmonic motion acceleration is directly proportional to the displacement from the mean position. Also the acceleration is in the opposite direction of displacement.



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