IGNOU BPHCT 131 2026 - An object undergoes SHM with frequency . The initial displacement

Question

An object undergoes SHM with frequency $f = 0.50\text{ Hz}$ . The initial displacement is $0.05\text{ m}$ and the initial velocity is $2.5\text{ ms}^{-1}$ . Calculate the amplitude, maximum velocity and maximum acceleration of the object.

19 Jan 2026

Answer :

Word Count : 216

The frequency is ( f = 0.50 ,\text{Hz} ), so the angular frequency is ( \omega = 2\pi f = 2\pi \times 0.50 = \pi ,\text{rad s}^{-1} ). For SHM, the displacement and velocity at any instant satisfy ( v^{2} = \omega^{2}(A^{2} - x^{2}) ). At the initial

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