Answer: 2π√(m/k).
- A 2π√(m/k)
- B 2π√(k/m)
- C π√(m/k)
- D 2πm/k
Correct answer: A. 2π√(m/k)
Explanation: T = 2π√(m/k). A stiffer spring (larger k) gives a shorter period; a heavier mass gives a longer period.
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.