Mathematics · Simple Harmonic Motion
A vertical spring suspended from one end carries a mass of 1 kg at its lower end and oscillates in a vertical plane. The amplitude of oscillation is 0.1 m. At t = 0, the displacement is 0.1/√2 m. Taking the force constant of the spring as 10 N/m and neglecting friction, which of the following equations correctly represents the relation between displacement (x) and time (t)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x = (0.1) sin(πt + π/4)✓
- 2x = (0.1) sin(πt + π/2)
- 3x = (0.1/√2) sin(πt + π/4)
- 4x = (0.1/√2) sin(πt + π/2)
Correct answer
x = (0.1) sin(πt + π/4)
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