The total energy of a particle executing $S.H.M.$ is $80 \,J$. What is the potential energy when the particle is at a distance of $\frac{3}{4}$ of amplitude from the mean position..... $J$
  • A$60$
  • B$10$
  • C$40$
  • D$45$
Medium
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
    In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?
    View Solution
  • 2
    If the length of second's pendulum is decreased by $2\%$, how many seconds it will lose per day ...... $\sec$
    View Solution
  • 3
    The length of a simple pendulum is increased by $2\%$. Its time period will
    View Solution
  • 4
    A particle executes $S.H.M.$ and its position varies with time as $x=A$ sin $\omega t$. Its average speed during its motion from mean position to mid-point of mean and extreme position is
    View Solution
  • 5
    A mass $m$ is vertically suspended from a spring of negligible mass; the system oscillates with a frequency $n$. What will be the frequency of the system if a mass $4 m$ is suspended from the same spring
    View Solution
  • 6
    The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $4 \mathrm{~m}, 2 \mathrm{~ms}^{-1}$ and $16 \mathrm{~ms}^{-2}$ at a certain instant. The amplitude of the motion is $\sqrt{\mathrm{x}} \mathrm{m}$ where $\mathrm{x}$ is. . . . . . . 
    View Solution
  • 7
    The equation of $SHM$ is given as:

    $x = 3\,sin\, 20\pi t + 4\, cos\, 20\pi t$ , 

    where $x$ is in $cms$ and $t$ is in $seconds$ . The amplitude is  ..... $cm$

    View Solution
  • 8
    Two particles are executing simple harmonic motion of the same amplitude $A$ and frequency $\omega$ along the $x-$axis. Their mean position is separated by distance $X_0(X_0 > A).$ If the maximum separation between them is $(X_0 + A)$, the phase difference between their motion is:
    View Solution
  • 9
    Average velocity of a particle executing $SHM$ in one complete vibration is 
    View Solution
  • 10
    Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be
    View Solution