The phase difference between displacement and acceleration of a particle in simple harmonic motion is:
Options

Question

The phase difference between displacement and acceleration of a particle in simple harmonic motion is:

G1 Physics · Accepted Answer

Step 1: For SHM, x = A sin(ωt + φ). Step 2: Twice differentiating gives a = −ω²A sin(ωt + φ) = −ω²x. Step 3: A negative sign represents a phase reversal of π radians. Step 4: Hence acceleration and displacement differ in phase by π rad. Final answer: (D) π rad.