Section 3.10: Chapter 3 Test

This test evaluates your understanding of oscillations, resonance, and related mechanical wave concepts. Attempt all questions carefully.

  1. A pendulum of length 1.5 m is released from 15°. Calculate its period and maximum speed.
  2. A mass-spring system (m = 2 kg, k = 100 N/m) oscillates with amplitude 0.1 m. Find maximum kinetic and potential energy.
  3. Determine the angular frequency of a damped oscillator with period 0.8 s.
  4. A forced oscillator has amplitude 0.2 m at resonance. If damping is negligible, compute maximum velocity.
  5. Two waves of equal amplitude 0.05 m interfere constructively. Find resultant amplitude.
  6. A pendulum swings with frequency 0.5 Hz. Determine its period and angular frequency.
  7. A mass-spring system with m = 0.5 kg and k = 80 N/m is displaced by 0.15 m. Find maximum acceleration.
  8. A simple harmonic motion has displacement x = 0.1 sin(4πt) m. Determine period and frequency.
  9. A mechanical wave has wavelength 2 m and frequency 5 Hz. Compute its speed.
  10. A resonance system has m = 1 kg, k = 200 N/m. Find the resonance frequency.
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