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  • A Particle is executing simple harmonic motion (SHM) of amplitude along the <img alt="\small y-axis\ about\

A Particle is executing simple harmonic motion (SHM) of amplitude \small C along the \small y-axis\ about\ y=0 when its potential energy (P E) equals the Kinetic energy (KE), the position of the particle is

Option: 1

\pm \frac{c}{\sqrt{2}}


Option: 2

\pm \frac{c}{\sqrt{3}}


Option: 3

\pm \frac{2c}{\sqrt{2}}


Option: 4

\pm \frac{2c}{\sqrt{3}}


Answers (1)

best_answer

\begin{aligned} & P E=\frac{1}{2} m \omega^2 y^2 \\ & K E=\frac{1}{2} m \omega^2\left(c^2-y^2\right) \\ & P E=K E \\ & \frac{1}{2} m \omega^2 y^2=\frac{1}{2} m \omega^2\left(c^2-y^2\right) \end{aligned}

\begin{aligned} & y^2+y^2=c^2 \\ & 2 y^2=c^2 \\ & y^2=\frac{c^2}{2} \end{aligned}

y= \pm \frac{c}{\sqrt{2}}

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Rishi

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