Question:
The structural characteristics of Simple Harmonic Motion (SHM) require that the acceleration of a particle is directly proportional to its displacement from the mean position and is directed:
The structural characteristics of Simple Harmonic Motion (SHM) require that the acceleration of a particle is directly proportional to its displacement from the mean position and is directed:
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In SHM:
\[
a = -\omega^2 x \Rightarrow restoring nature always
\]
Updated On: Jun 10, 2026
- along the direction of motion
- opposite to the direction of velocity at all times
- towards the mean position
- away from the mean position
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The Correct Option is C
Solution and Explanation
Concept:
In SHM, restoring force is proportional and opposite to displacement:
\[
F = -kx \Rightarrow a = -\omega^2 x
\]
The negative sign shows acceleration always points toward mean position.
Evaluation of options:
• (A) Incorrect: not always along motion
• (B) Incorrect: velocity and acceleration are not always opposite
• (C) Correct: acceleration always directed toward mean position
• (D) Incorrect: would be unstable motion
Thus, acceleration always points toward the mean position.
Evaluation of options:
• (A) Incorrect: not always along motion
• (B) Incorrect: velocity and acceleration are not always opposite
• (C) Correct: acceleration always directed toward mean position
• (D) Incorrect: would be unstable motion
Thus, acceleration always points toward the mean position.
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