The equation of SHM for a particle is (a + 4π2x = 0) where 'a' is instantaneous linear acceleration at displacement x. The frequency of motion is:
Correct answer: A. 1 Hz
- A. 1 Hz
- B. 4π Hz
- C. 1/4 Hz
- D. 4 Hz
Explanation
Compare a + ω2x = 0 to identify ω2 = 4π2, so ω = 2π. Frequency f = ω/(2π) = (2π)/(2π) = 1 Hz. Thus the system oscillates once per second.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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