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Which demonstrates simple harmonic motion?
a player dribbling a basketball
a chandelier swinging from the ceiling
a lion pacing the length of a cage
a spring compressed in a ballpoint pen
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The chandelier swinging from the ceiling and the spring in a ballpoint pen.
Reason: SHM occurs when the restoring force is proportional to displacement. A pendulum (chandelier) is approximately SHM for small angles (mg sinθ ≈ −mgθ). A mass on a spring (the pen spring) follows Hooke’s law (F = −kx). Dribbling and a lion pacing are not motions with a linear restoring force and are not simple harmonic.
Reason: SHM occurs when the restoring force is proportional to displacement. A pendulum (chandelier) is approximately SHM for small angles (mg sinθ ≈ −mgθ). A mass on a spring (the pen spring) follows Hooke’s law (F = −kx). Dribbling and a lion pacing are not motions with a linear restoring force and are not simple harmonic.
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