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A particle in SHM has displacement x(t) = 0.03sin(6t + π/3) (meters). What is the maximum acceleration?

Correct answer: C. 1.08 m/s²

  • A. 0.54 m/s
  • B. 0.72 m/s²
  • C. 1.08 m/s²
  • D. 1.44 m/s2

Explanation

The maximum acceleration amax = Aω² = 0.03 × 62 = 1.08 m/s².

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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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