Two $SHM$ are represented by equations, $y_1 = 6\cos \left( {6\pi t + \frac{\pi }{6}} \right)\,,{y_2} = 3\left( {\sqrt 3 \sin 3\pi t + \cos 3\pi t} \right)$
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1If $x=5 \sin \left(\pi t+\frac{\pi}{3}\right) \mathrm{m}$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, areView Solution
- 2If the speed $v$ of the bob in a simple pendulum is plotted against the tangential acceleration $a$, the correct graph will be represented byView Solution
- 3View SolutionA flat horizontal board moves up and down in $SHM$ of amplitude $\alpha$. Then the shortest permissible time period of the vibration such that an object placed on the board may not lose contact with the board is
- 4In the following questions, match column $-I$ with column $-II$ and choose the correct optionsView Solution
- 5Block $A$ is hanging from a vertical spring and it is at rest. Block $'B'$ strikes the block $'A'$ with velocity $v$ and stick to it. Then the velocity $v$ for which the spring just attains natural length is:View Solution
- 6Values of the acceleration $A$ of a particle moving in simple harmonic motion as a function of its displacement $x$ are given in the table below. The period of the motion isView Solution
$A (mm \,\,s^{-2}$) $16$
$8$
$0$
$- 8$
$- 16$
$x\;(mm)$
$- 4$
$- 2$
$0$
$2$
$4$
- 7A particle executing simple harmonic motion along $Y- $axis has its motion described by the equation $y = A\sin (\omega \,t) + B$. The amplitude of the simple harmonic motion isView Solution
- 8View SolutionThe graph in figure represents
- 9A particle executes $SHM$ on a straight line path. The amplitude of oscillation is $2\, cm.$ When the displacement of the particle from the mean position is $1\, cm,$ the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. The frequency of $SHM$ (in $second^{-1}$) is :View Solution
- 10If particle is executing simple harmonic motion with time period $T$, then the time period of its total mechanical energy is ...........View Solution