Answer: 0.314 s.
- A 0.314 s
- B 3.14 s
- C 0.0314 s
- D 1 s
Correct answer: A. 0.314 s
Explanation: T = 2π√(m/k) = 2π√(0.5/200) = 2π√(0.0025) = 2π × 0.05 = 0.314 s.
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.