In a mass-spring system, which of the following does not depend on the initial displacement of the spring?
Correct answer: D. Angular frequency of the oscillation
- A. Maximum kinetic energy of the mass
- B. Average speed of the mass
- C. Total energy of the mass
- D. Angular frequency of the oscillation
Explanation
The angular frequency refers to the angular displacement per unit time and is calculated from the frequency with the equation ω=2πf.The frequency of the spring-mass system is a constant and depends on mass of the load and the spring constant and not the initial displacement. Therefore, angular frequency does not depend on initial displacement. Thus, option D is correct.
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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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