Answer: Constant and equal to (1/2)kA².
- A Constant and equal to (1/2)kA²
- B Maximum at equilibrium
- C Zero at extremes
- D Proportional to displacement
Correct answer: A. Constant and equal to (1/2)kA²
Explanation: Total E = KE + PE = (1/2)kA² = constant throughout the motion. It only depends on amplitude A.
In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.
Concept context
Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.