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 $=-k_0 x+k_1 x^{2}$ where $k, k_0, k_1$ and a are all postive.
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Answer:
Correct Answer: 14. (a)
Solution:
- (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.
