Oscillations Ques 9
9. 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 $k_0, k_1$ and a are all positive.
Show Answer
Answer:
Correct Answer: 9.(a)
Solution:
- (a) acceleration, $a=-kX$, where $X=x$
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.