The above graph shows the response of forced oscillations of a pendulum in air. What will be the response of its forced oscillations in a vacuum?
Correct answer: B. B
- A. A
- B. B
- C. C
- D. D
Explanation
In the absence of damping forces, the amplitude of oscillations in a vacuum due to forced oscillations can become arbitrarily large during resonance. The system absorbs energy from the external force, and if the force is applied at the natural frequency of the system, the amplitude can increase without bound.It's worth noting that in practical situations, damping forces are often present, even in a vacuum (for example, due to internal friction within materials). These damping forces would limit the amplitude and prevent it from growing indefinitely.
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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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