Physics · Simple harmonic motion (S.H.M.) and its equation, phase
A particle is in SHM. Then the graph of its acceleration as a function of displa
A particle is in SHM. Then the graph of its acceleration as a function of displacement is a
- A. circle
- B. hyperbola
- C. straight line with negative slope
- D. straight line with positive slope
Step-by-step solution
In simple harmonic motion (SHM), the restoring force is proportional to the negative of displacement (F = -kx), leading to acceleration a = -ω²x. Thus, acceleration is directly proportional to displacement but opposite in direction. The graph of a vs. x is a straight line passing through the origin with a negative slope.
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