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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

In SHM, when the displacement is half the amplitude, what fraction of total energy is kinetic?

Answer: 3/4.

  • A 3/4
  • B 1/4
  • C 1/2
  • D 1

Correct answer: A. 3/4

Explanation: PE = (1/2)kx² = (1/2)k(A/2)² = E/4. So KE = E - E/4 = 3E/4. Fraction = 3/4.

Displacement, Velocity, Acceleration in SHMx(t)v(t)a(t)v leads x by 90°; a is exactly out of phase with x (a = −ω²x)

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.

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