The total energy of a block, executing simple harmonic motion is:
Correct answer: A. Independent of 'x'
- A. Independent of 'x'
- B. Proportional to 'x'
- C. Proportional to 'x2'
- D. Proportional to '√x'
Explanation
The total energy in SHM is independent of x.Because E=1/2(kA2), it stays constant no matter where the block is in its motion. Only kinetic and potential energy change with x, but their sum (total energy) does not.
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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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