In S.H.M., at what distance from mean position in terms of amplitude xo K.E. and P.E. both will have equal value?
Correct answer: C. 0.71 xo
- A. 0.51 xo
- B. 0.61 xo
- C. 0.71 xo
- D. 0.81 xo
Explanation
In Simple Harmonic Motion (S.H.M.), the kinetic energy (K.E.) and potential energy (P.E.) of a particle oscillating about its mean position vary with its displacement from the mean position (amplitude). The total mechanical energy (E) of the particle at any point in S.H.M. is the sum of its kinetic energy and potential energy: E = K.E. + P.E. When the particle is at a distance from the mean position, the values of K.E. and P.E. will be equal. Mathematically, this occurs when: K.E. = P.E.
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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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