(D) The acceleration $a$ of a particle in simple harmonic motion is given by $a = \omega^2 y$,where $\omega$ is the angular frequency and $y$ is the d

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(D) The acceleration $a$ of a particle in simple harmonic motion is given by $a = \omega^2 y$,where $\omega$ is the angular frequency and $y$ is the displacement from the equilibrium position.Given $a = 12 \ cm/sec^2$ and $y = 3 \ cm$.Substituting these values: $12 = \omega^2 \times 3$.$\omega^2 = \frac{12}{3} = 4$.$\omega = 2 \ rad/sec$.The time period $T$ is given by $T = \frac{2\pi}{\omega}$.$T = \frac{2\pi}{2} = \pi \approx 3.14 \ sec$.

Class 11 Physics Oscillations Acceleration and Force of Simple Harmonic Motion

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If the acceleration of a particle at a distance of $3 \ cm$ from the equilibrium position is $12 \ cm/sec^2$,what is the time period of the simple harmonic motion in seconds?

A
$0.5$
B
$1$
C
$2$
D
$3.14$

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Oscillations

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Acceleration and Force of Simple Harmonic Motion

The average acceleration of a particle performing $SHM$ over one complete oscillation is:

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$A$ particle of mass $10 \, g$ performs simple harmonic motion with an amplitude of $0.5 \, m$ and an angular frequency of $10 \, rad/s$. What is the maximum force acting on it in $N$?

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This is the position-time graph of a mass on a spring. What can you say about the velocity and force at the instant indicated by the dashed line? (Positive direction is to the right.)

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The acceleration of a particle performing $S.H.M.$ at a distance of $3\;cm$ from the mean position is $12\;cm/s^2$. Its time period is ..... $s$.

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If the displacement of a body is given by $x = 3 \cos \left( 2 \pi t + \frac{\pi}{4} \right) \text{ m}$, then the acceleration of the body at $t = 2 \text{ s}$ is

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If the acceleration of a particle at a distance of $3 \ cm$ from the equilibrium position is $12 \ cm/sec^2$,what is the time period of the simple harmonic motion in seconds?

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The average acceleration of a particle performing $SHM$ over one complete oscillation is:

$A$ particle of mass $10 \, g$ performs simple harmonic motion with an amplitude of $0.5 \, m$ and an angular frequency of $10 \, rad/s$. What is the maximum force acting on it in $N$?

This is the position-time graph of a mass on a spring. What can you say about the velocity and force at the instant indicated by the dashed line? (Positive direction is to the right.)

The acceleration of a particle performing $S.H.M.$ at a distance of $3\;cm$ from the mean position is $12\;cm/s^2$. Its time period is ..... $s$.

If the displacement of a body is given by $x = 3 \cos \left( 2 \pi t + \frac{\pi}{4} \right) \text{ m}$, then the acceleration of the body at $t = 2 \text{ s}$ is

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