(A) In $SHM$,the total mechanical energy is conserved. At the equilibrium point (mean position),the displacement $x = 0$. Since kinetic energy $K = \f

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Maximum kinetic energy at mean position,maximum potential energy at extreme position.

(A) In $SHM$,the total mechanical energy is conserved. At the equilibrium point (mean position),the displacement $x = 0$. Since kinetic energy $K = \frac{1}{2} k(A^2 - x^2)$,it is maximum at $x = 0$. At the extreme positions,the displacement $x = \pm A$. Since potential energy $U = \frac{1}{2} kx^2$,it is maximum at $x = \pm A$.

Class 11 Physics Oscillations Energy of Simple Harmonic Motion

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At which point (place) does a particle executing $SHM$ have maximum kinetic energy and maximum potential energy?

A
Maximum kinetic energy at mean position,maximum potential energy at extreme position.
B
Maximum kinetic energy at extreme position,maximum potential energy at mean position.
C
Maximum kinetic energy and potential energy both at mean position.
D
Maximum kinetic energy and potential energy both at extreme position.

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Oscillations

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Energy of Simple Harmonic Motion

$A$ body performs linear simple harmonic motion of amplitude $A$. At what displacement from the mean position is the potential energy of the body one-fourth of its total energy?

EasyMHT CET 2020

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For a simple pendulum, having time period $T$, the variation of kinetic energy $(K.E)$ with time $(t)$ is represented by:

MediumNEET 2026

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Show that for a particle in linear $SHM$,the average kinetic energy over a period of oscillation equals the average potential energy over the same period.

Difficult

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For a particle $P$ performing $S.H.M.$, when displacement is $x$, potential energy and restoring force acting on it are denoted by $E$ and $F$ respectively. The relation between $x, E$, and $F$ is:

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Find the displacement of a simple harmonic oscillator at which its $PE$ is half of the maximum energy of the oscillator.

Medium

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At which point (place) does a particle executing $SHM$ have maximum kinetic energy and maximum potential energy?

Similar Questions

$A$ body performs linear simple harmonic motion of amplitude $A$. At what displacement from the mean position is the potential energy of the body one-fourth of its total energy?

For a simple pendulum, having time period $T$, the variation of kinetic energy $(K.E)$ with time $(t)$ is represented by:

Show that for a particle in linear $SHM$,the average kinetic energy over a period of oscillation equals the average potential energy over the same period.

For a particle $P$ performing $S.H.M.$, when displacement is $x$, potential energy and restoring force acting on it are denoted by $E$ and $F$ respectively. The relation between $x, E$, and $F$ is:

Find the displacement of a simple harmonic oscillator at which its $PE$ is half of the maximum energy of the oscillator.

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