A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a…

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m s-2 at a distance of 5 m from mean position. The time period of oscillation is
  1. 2 s
  2. π s
  3. 2π s
  4. 1 s

Solution

Acceleration in SHM is
a=ω2x
20=ω25⇒ω2=4⇒ω=2⇒2πT=2
T=π s

Asked in: MHT CET Full Test 4

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