Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
MediumDefine periodic time and frequency,their units,and the relationship between them.
(N/A) $1$. Periodic Time $(T)$: It is defined as the time taken by an oscillating particle to complete one full oscillation. Its $SI$ unit is second $(s)$.
$2$. Frequency ($f$ or $\nu$): It is defined as the number of oscillations completed by a particle in one second. Its $SI$ unit is Hertz $(Hz)$,where $1 \ Hz = 1 \ s^{-1}$.
$3$. Relationship: The frequency is the reciprocal of the periodic time. Mathematically,$f = \frac{1}{T}$ or $T = \frac{1}{f}$.
$2$. Frequency ($f$ or $\nu$): It is defined as the number of oscillations completed by a particle in one second. Its $SI$ unit is Hertz $(Hz)$,where $1 \ Hz = 1 \ s^{-1}$.
$3$. Relationship: The frequency is the reciprocal of the periodic time. Mathematically,$f = \frac{1}{T}$ or $T = \frac{1}{f}$.
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Two particles executing $SHM$ along a straight line have the same amplitude $A$ and time period $T$. At $t=0$,one particle is at a displacement $+A$ and another is at a displacement $-\frac{A}{2}$ and they are approaching towards each other. They cross each other after a time.
The displacement of a particle varies according to the relation $x = 3 \sin 100t + 8 \cos^2 50t$. Which of the following is/are correct about this motion?
Define simple harmonic motion $(SHM)$.
Medium
View SolutionAverage velocity of a particle executing $SHM$ in one complete vibration is
The function $\sin^2(\omega t)$ represents:
MediumAIIMS 2008
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