Kinetic energy of a particle executing simple harmonic motion in straight line is $pv^2$ and potential energy is $qx^2$, where $v$ is speed at distance $x$ from the mean position. It time period is given by the expression
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 $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$, then, which of the following does not change with time?View Solution
- 2View SolutionThis is the position time graph of a mass on spring. What can you say about the velocity and force at the instant indicated by dashed line ? (positive direction is to the right)
- 3Two springs of force constants $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass isView Solution
- 4A particle is executing $SHM$ of amplitude $A,$ about the mean position $x = 0.$ Which of the following cannot be a possible phase difference between the positions of the particle at $x = +\,A/2$ and $x = - A/\sqrt {2} .$View Solution
- 5View SolutionIn the adjacent figure, if the incline plane is smooth and the springs are identical, then the period of oscillation of this body is
- 6When a body of mass $1.0\, kg$ is suspended from a certain light spring hanging vertically, its length increases by $5\, cm$. By suspending $2.0\, kg$ block to the spring and if the block is pulled through $10\, cm$ and released the maximum velocity in it in $m/s$ is : (Acceleration due to gravity $ = 10\,m/{s^2})$View Solution
- 7Time period of a particle executing $SHM$ is $8\, sec.$ At $t = 0$ it is at the mean position. The ratio of the distance covered by the particle in the $1^{st}$ second to the $2^{nd}$ second is :View Solution
- 8View SolutionA particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true
- 9The position co-ordinates of a particle moving in a $3-D$ coordinates system is given by $x = a\,cos\,\omega t$ , $y = a\,sin\,\omega t$ and $z = a\omega t$ The speed of the particle isView Solution
- 10A particle moves in the $x-y$ plane according to equation $\overrightarrow r = (\widehat i + 2\widehat j)\, A \, \cos \omega t$. The motion of the particle isView Solution