An object undergoes simple harmonic motion. Its amplitude is xo. The speed of the object is v when its displacement is xo/3. What is the speed when its displacement is xo?
Correct answer: D. 0
- A. v/3
- B. 2v
- C. 3/2 V
- D. 0
Explanation
0 is the speed at which the object undergoes simple harmonic motion.Amplitude is xoThe speed of the object is, vThe first displacement of the object is, x1= xo/3The second displacement of the object, x2= xoThe formula for velocity is v = xowTherefore, at the mean position, the velocity of the particle performing simple harmonic motion is maximum V.Here x2= xo i.e. extreme Hence speed is zero.
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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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