Practice portal › Oscillations › Velocity and Acceleration in SHM

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 the mean position. The time period of oscillation is

Asked in NEET 2018 · v-x and a-x relations

• (1) 2π s
• (2) π s
• (3) 2 s
• (4) 1 s

Step-by-step solution

Why the other options are wrong

• (1) 2π s needs ω=1 rad s⁻¹, but the data fix ω²=a/x=4 s⁻², so no step in the working can produce ω=1
• (3) comes from quoting ω=2 rad s⁻¹ itself as the period; the period is 2π/ω
• (4) 1 s is the answer with its factor π stripped off; with ω=2 rad s⁻¹ the period is π≈ 3.14 s

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.