Which graph in SHM shows the K.E of a body:
Correct answer: A. Option A
- A. Option A
- B. Option B
- C. Option C
- D. None
Explanation
Kinetic Energy (K.E.): The kinetic energy of a body undergoing SHM varies sinusoidally with time. It is maximum at the equilibrium position (where velocity is maximum) and decreases to zero at the extreme positions (where velocity is zero).Potential Energy (P.E.): The potential energy of a body undergoing SHM is directly related to its displacement from the equilibrium position. It is maximum at the extreme positions (where displacement is maximum) and decreases to zero at the equilibrium position (where displacement is zero).Total Mechanical Energy (E): The total mechanical energy of a body undergoing SHM remains constant throughout the motion if there are no external dissipative forces (such as friction). It is the sum of kinetic energy and potential energy at any point in time.
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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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