Question

For a particle executing simple harmonic motion, the acceleration is proportional to
(a) displacement from the mean position
(b) distance from the mean position
(c) distance travelled since t = 0
(d) speed

Answer 1

Answer:

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Answer 2

For a particle executing SHM (simple harmonic motion), the acceleration is proportional to (a) displacement from the mean position.

Explanation:

• This is because, we know that in general, $F=m a$ where F is force, m is mass and a is acceleration and for a SHM,$F=-k * x$.  
• Thus, $m a=-k * x$ which implies that   $a=-\left(\frac{k}{m}\right) x$.  
• This shows that acceleration is proportional to displacement from the mean position and the minus sign indicates that it happens in opposite direction.