A particle is placed at the lowest point of a smooth wire frame in the shape of a parabola, lying in the vertical $xy-$ plane having equation $x^2 = 5y$ $(x, y$ are in meter). After slight displacement, the particle is set free. Find angular frequency of oscillation.....$rad/s$ (in $rad/sec$ ) (take $g = 10\ m/s^2$ )
Diffcult
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
- 1View SolutionIn case of damped oscillation frequency of oscillation is ............
- 2A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant ofView Solution
- 3A $1 \,kg$ block attached to a spring vibrates with a frequency of $1\, Hz$ on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an $8\, kg$ block placed on the same table. So, the frequency of vibration of the $8\, kg$ block is ..... $Hz$View Solution
- 4Which one of the following statements is true for the speed $v$ and the acceleration $a$ of a particle executing simple harmonic motionView Solution
- 5A particle executes $S.H.M.$ with amplitude $'a'$ and time period $V$. The displacement of the particle when its speed is half of maximum speed is $\frac{\sqrt{ x } a }{2} .$ The value of $x$ is $\ldots \ldots \ldots$View Solution
- 6A spring of force constant $k$ is cut into lengths of ratio $1:2:3$ . They are connected in series and the new force constant is $k'$ . Then they are connected in parallel and force constant is $k''$ . Then $k':k''$ isView Solution
- 7If the length of simple pendulum is increased by $300\%$, then the time period will be increased by ..... $\%$View Solution
- 8The oscillation of a body on a smooth horizontal surface is represented by the equation $x= Acos$$\omega t$View Solution
where $x=$ displacement at time $t$
$\omega =$ frequency of oscillation
Which one of the following graphs shows correctly the variation $a$ with $t$ ?
Here $a=$ acceleration at time $t$
$T=$ time period
- 9View SolutionIf the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will
- 10View SolutionResonance is an example of