Answer: 2π√(m/2k).
- A 2π√(m/2k)
- B 2π√(2m/k)
- C 2π√(m/k)
- D 2π√(m/4k)
Correct answer: A. 2π√(m/2k)
Explanation: Parallel springs give effective constant 2k, so T = 2π√(m/2k).
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.