Answer: 1.33 s.
- A 0.67 s
- B 1.00 s
- C 1.33 s
- D 2.00 s
Correct answer: C. 1.33 s
Explanation: Series combination: k<sub>eff</sub> = (100 × 200)/(100 + 200) = 66.7 N/m. T = 2π√(m/k<sub>eff</sub>) = 2π√(3/66.7) = 2π(0.212) = 1.33 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.