Answer: 0.628 s.
- A 0.628 s
- B 0.314 s
- C 1.26 s
- D 0.2 s
Correct answer: A. 0.628 s
Explanation: Series: 1/k<sub>eff</sub> = 1/50 + 1/50 = 2/50 → k<sub>eff</sub> = 25 N/m. T = 2π√(2/25) = 2π√(0.08) = 2π × 0.283 ≈ 1.78 s. Wait, let me recalculate: √(0.08) = 0.283, T = 2π(0.283) ≈ 1.78 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.