A spring-mass system (k = 200 N/m, m = 0.4 kg) is driven at its natural frequency. If the driving force amplitude is 10 N, what is the steady-state amplitude? (Assume no damping)
Correct answer: D. Infinity
- A. 0.05 m
- B. 0.1 m
- C. 0.15 m
- D. Infinity
Explanation
At resonance (driven at natural frequency), with no damping, the amplitude theoretically approaches infinity.
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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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