The potential energy of a simple harmonic oscillator at mean position is $2\,joules$. If its mean $K.E.$ is $4\,joules$, its total energy will be .... $J$
Medium
Download our app for free and get startedPlay store
Total energy $=\frac{1}{2} \mathrm{KA}^{2}+\mathrm{U}_{0}$

$\mathrm{U}_{0}=2 \mathrm{J}(\text { given })$ and $\frac{1}{4} \mathrm{KA}^{2}=4 \mathrm{J}$

So total energy $=8+2=10 \mathrm{J}$

art

Download our app
and 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

  • 1
    A simple pendulum has time period 't'. Its time period in a lift which is moving upwards with acceleration $3 ms ^{-2}$ is
    View Solution
  • 2
    The general displacement of a simple harmonic oscillator is $x = A \sin \omega t$. Let $T$ be its time period. The slope of its potential energy (U) - time (t) curve will be maximum when $t=\frac{T}{\beta}$. The value of $\beta$ is $.........$
    View Solution
  • 3
    Two simple harmonic motions of angular frequency $100$ and $1000\,\,rad\,s^{-1}$ have the same displacement amplitude. The ratio of their maximum acceleration is
    View Solution
  • 4
    Two simple pendulum first of bob mass $M_1$ and length $L_1$ second of bob mass $M_2$ and length $L_2$. $M_1 = M_2$ and $L_1 = 2L_2$. If these vibrational energy of both is same. Then which is correct 
    View Solution
  • 5
    A simple pendulum executing $S.H.M.$ is falling freely along with the support. Then
    View Solution
  • 6
    Two particles executing $S.H.M.$ of same frequency, meet at $x=+A / 2$, while moving in opposite directions. Phase difference between the particles is .........
    View Solution
  • 7
    The displacement of an oscillating particle varies with time (in seconds) according to the equation $y (cm) = sin \frac{\pi }{2}\left( {\frac{t}{2} + \frac{1}{3}} \right)$. The maximum acceleration of the particle is approximately ..... $cm/s^2$
    View Solution
  • 8
    An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass $M$. The piston and the cylinder have equal cross sectional area $A$. When the piston is in equilibrium, the volume of the gas is $V_0$ and its pressure is $P_ 0$. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency
    View Solution
  • 9
    The total energy of a particle, executing simple harmonic motion is
    View Solution
  • 10
    Select wrong statement about simple,harmonic motion
    View Solution