Practice question

**SHM condition** is linear restoring force and inertia producing sinusoidal time dependence. Motions violating a = -ω² x, such as uniform circular motion, are periodic without oscillation about fixed point, highlighting classification criteria for NCERT. For SHM, a = -ω² x . Given a = -100 x , ω² = 100 ⇒ ω = 10 rad/s . Frequency: v = (ω/2π) = (10/2 × 3.14) ≈ 1.59 Hz . Applying x = A cos(ωt + φ), v = -ωA sin(ωt + φ), a = -ω²x and E = ½kA² = ½mω²A², result 1.59 Hz follows, reflecting SHM dependence on amplitude A, ω and system parameters.