Physics · Oscillations and Simple Harmonic Motion
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A pendulum undergoes simple harmonic motion. The phase difference between the displacement and the acceleration of the particle is:
- A
0
- B
π/2
- C
π
- D
3π/2
We know that for a motion to be simple harmonic motion,
a ∝ -x
Here, minus sign indicates that both are directed on opposite sides, or they are anti-parallel.
An angle of 0° means that both acceleration and displacement are parallel, but in reality, they are anti-parallel. Hence, this option is incorrect.
An angle of /2 means 90o, or that both acceleration and displacement are perpendicular, which does not occur in simple harmonic motion. Hence, this option is incorrect.
An angle of π means 180o, or that both acceleration and displacement are anti-parallel. It is a characteristic of simple harmonic motion. Hence, this option is the correct one.
An angle of 3/2 means 270°. It is treated at an angle of 90°. It would mean that both acceleration and displacement are perpendicular to each other, which is not the case in simple harmonic motion. Hence, this option is incorrect
Tagged under Physics · Oscillations and Simple Harmonic Motion · 2021