Angular velocity in S.H.M. – Rankers Physics

Equation of SHM: Practice Problem & Solution

The differential equation for a particle executing S.H.M. is given by \( \frac{d^2 y}{dt^2} + 4y = 0 \), where symbols have their usual meaning. The angular velocity of the particle is given by
\( 4\text{ rad/s} \)
\( 3\text{ rad/s} \)
\( 2\text{ rad/s} \)
\( 4pi\text{ rad/s} \)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Equation of SHM. Understanding the underlying formula is key to arriving at the correct answer below:

The standard differential equation of S.H.M. is \( \frac{d^2 y}{dt^2} + \omega^2 y = 0 \). By comparison, \( \omega^2 = 4 ⇒ \omega = 2\text{ rad/s} \).

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