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Question
The relation between acceleration and displacement of four particles are given below: Which one of the particles is executing simple harmonic motion?
Options
ax = + 2x.
ax = + 2x2.
ax = – 2x2.
ax = – 2x.
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Solution
ax = – 2x.
Explanation:
In simple harmonic motion, acceleration is proportional and opposite to displacement. Applying the equation of motion
F = ma
a = − ω2x
a ∝− x
Hence − 2x represents SHM.
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