Home
Class 11
PHYSICS
At what displacement (i) the PE and (ii)...

At what displacement (i) the PE and (ii) KE of a simple harmonic oscillator is maximum?

Text Solution

Verified by Experts

(i) PE of a simple harmonic oscillator is maximum at
`x=pmA`.
PE at that instant, `U=1/2momega^(2)A^(2)`
(ii) KE of a simple harmonic oscillator is maximum at the position of equilibrium, x = 0.
KE at that instant, `K=1/2momega^(2)A^(2)`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    CHHAYA PUBLICATION|Exercise NEET|2 Videos
  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|10 Videos
  • STATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|3 Videos

Similar Questions

Explore conceptually related problems

The displacement equation of a simple harmonic motion is x=Asin(omegat+phi) . Show that the relation between velocity v and acceleration a of the motion is omega^(2)v^(2)+a^(2)=omega^(4)A^(2) .

An electric dipole had been formed by placing two particles each of mass m at the two ends of a light rod of length l. The charges of the two particles are +q and -q . This dipole is placed in a uniform electric field E in such a way that its axis is parallel to the direction of the field. The dipole is now deflected through a small angle. Show that for small angular displacement, the dipole will execute angular simple harmonic motion. Calculate the time period of the simple harmonic motion.

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m//s^(2) at a distance of 5 m from the mean position. The time period of oscillation is

Write the equation of motion of a particle executing simple harmonic motion, whose displacement is maximum at t = 0.

CHHAYA PUBLICATION-SIMPLE HARMONIC MOTION-CBSE SCANNER
  1. Explain the relation in phase between displacement velocity and accele...

    Text Solution

    |

  2. A particle is in linear simple harmonic motion between two points A an...

    Text Solution

    |

  3. Time period of a particle in SHM depends on the force constant k and m...

    Text Solution

    |

  4. One end of U-tube containing mercury is connected to a suction pump an...

    Text Solution

    |

  5. A simple harmonic motion is described by a = -16x where a is accelerat...

    Text Solution

    |

  6. Derive an expression for the total energy of a particle undergoing sim...

    Text Solution

    |

  7. For a particle executing simple harmonic motion, find the distance fro...

    Text Solution

    |

  8. Write the phase difference between the velocity and acceleration of a ...

    Text Solution

    |

  9. A simple pendulum of length l and having a bob of mass M is suspended ...

    Text Solution

    |

  10. What will be the change in time period of a loaded spring, when taken ...

    Text Solution

    |

  11. Find the expression for kinetic energy, potential energy and total ene...

    Text Solution

    |

  12. How will the time period of a simple pendulum change when its length i...

    Text Solution

    |

  13. Two identical springs of spring constant k are attached to a black of ...

    Text Solution

    |

  14. y(t)=(sinomegat-cosomegat) represents simple harmonic motion, determin...

    Text Solution

    |

  15. Derive an expression for the time period and frequency of a simple pen...

    Text Solution

    |

  16. At what displacement (i) the PE and (ii) KE of a simple harmonic oscil...

    Text Solution

    |