Answer: 2π√(I/Mgd).
- A 2π√(I/Mgd)
- B 2π√(Mgd/I)
- C 2π√(I/Md)
- D 2π√(d/g)
Correct answer: A. 2π√(I/Mgd)
Explanation: T = 2π√(I/Mgd). For a simple pendulum, I = mL² and d = L, giving T = 2π√(L/g).
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.