$A$ body executes simple harmonic motion. The potential energy $(P.E.)$,the kinetic energy $(K.E.)$ and total energy $(T.E.)$ are measured as a function of displacement $x$. Which of the following statements is true?
- A$P.E.$ is maximum when $x = 0$
- B$K.E.$ is maximum when $x = 0$
- C$T.E.$ is zero when $x = 0$
- D$K.E.$ is maximum when $x$ is maximum
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When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation,the displacement of the particle from the equilibrium position in terms of its amplitude $a$ is
MediumAIPMT 1993
View SolutionIn the following table, the displacement of a $Simple \text{ } Harmonic \text{ } Oscillator \text{ } (SHO)$ is shown in column-$I$ and the kinetic energy is shown in column-$II$. Match them appropriately.
Column-$I$ Column-$II$ $(a)$ $y = \frac{A}{\sqrt{2}}$ $(i)$ $K = \frac{3E}{4}$ $(b)$ $y = \frac{\sqrt{3}A}{2}$ $(ii)$ $K = \frac{E}{4}$ $(iii)$ $K = \frac{E}{2}$
| Column-$I$ | Column-$II$ |
| $(a)$ $y = \frac{A}{\sqrt{2}}$ | $(i)$ $K = \frac{3E}{4}$ |
| $(b)$ $y = \frac{\sqrt{3}A}{2}$ | $(ii)$ $K = \frac{E}{4}$ |
| $(iii)$ $K = \frac{E}{2}$ |
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MediumAIPMT 1995
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$(1)$ Amplitude $(2)$ Period $(3)$ Displacement
Of these statements:
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Of these statements:
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View SolutionAn object of mass $0.2 \,kg$ executes simple harmonic motion along the $x$-axis with a frequency of $(\frac{25}{\pi}) \,Hz$. At the position $x=0.04 \,m$, the object has a kinetic energy of $0.5 \,J$ and a potential energy of $0.4 \,J$. The amplitude of oscillation is ............ $cm$.
DifficultJEE MAIN 2024
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