The maximum velocity of SHM is ao. The period of oscillation is:
Correct answer: A. 2π xo/ao
- A. 2π xo/ao
- B. 2π ao/xo
- C. 2π xoao
- D. 2π / xoao
Explanation
In simple harmonic motion, the velocity is given byV max = wxoWhere,w= 2π/TVmax = aO Therefore the equation becomesaO = {2π/T} x (xo)The time period of oscillation is represented by TSo the equation becomes,T= 2πxo / aOMathematically options B, C & D are incorrect
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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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