Home
Class 11
PHYSICS
A body of mass m suspended from a spring...

A body of mass m suspended from a spring executes SHM. Calculate ratio of K.E and P.E. Of body when it is at a displacement half of its amplitude from mean position.

Text Solution

AI Generated Solution

To solve the problem of finding the ratio of kinetic energy (K.E) to potential energy (P.E) of a body executing Simple Harmonic Motion (SHM) when it is at a displacement half of its amplitude from the mean position, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Variables**: - Let the amplitude of the SHM be \( A \). - The displacement from the mean position is given as \( x = \frac{A}{2} \). ...
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL WAVES

    CBSE COMPLEMENTARY MATERIAL|Exercise MCQ|20 Videos
  • MECHANICAL WAVES

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG QUESTIONS|1 Videos
  • KINETIC THEORY OF GASES

    CBSE COMPLEMENTARY MATERIAL|Exercise Objective question|20 Videos
  • NEWTON'S LAWS OF MOTION

    CBSE COMPLEMENTARY MATERIAL|Exercise Laws Of Motion|20 Videos

Similar Questions

Explore conceptually related problems

The ratio of the K.E. and P.E. possessed by a body executing S.H.M. when it is at a distance of 1/n of its amplitude from the mean position, is

A particle executes SHM with periodic time of 6 seconds. The time taken for traversing a distance of half the amplitude from mean position is :

A block of mass m suspended from a spring of spring constant k . Find the amplitude of S.H.M.

A particle executes SHM from extreme position and covers a distance equal to half to its amplitude in 1 s.

A particle executes SHM on a line 8 cm long. Its K.E. and P.E. will be equal when its distance from the mean position is :-

The total energy of the body excuting S.H.M. is E . Then the kinetic energy when the displacement is half of the amplitude, is

The periodic time of a body executing SHM is 2s. After how much time interval from t=0, will its displacement be half of its amplitude?

The total energy of a particle in SHM is E. Its kinetic energy at half the amplitude from mean position will be

A block of mass m is suspended from a spring and executes vertical SHM of time period T as shown in Fig. The amplitude of the SHM is A and spring is never in compressed state during the oscillation. The magnitude of minimum force exerted by spring on the block is

A object of mass m is suspended from a spring and it executes SHM with frequency n. If the mass is increased 4 times , the new frequency will be

CBSE COMPLEMENTARY MATERIAL-MECHANICAL WAVES-NUMERICALS
  1. A 40 gm mass produces on extension of 4 cm in a vertical spring. A mas...

    Text Solution

    |

  2. The acceleration due to gravity on the surface of the moon is 1.7ms^(-...

    Text Solution

    |

  3. A particle executes simple harmonic motion of amplitude A. (i) At what...

    Text Solution

    |

  4. A set of 24 tuning fork is arranged in a series of increasing frequenc...

    Text Solution

    |

  5. The vertical motion of a huge piston in a machine is approximately sim...

    Text Solution

    |

  6. At what temperature will the speed of sound be double its value at 273...

    Text Solution

    |

  7. A spring balance has a scale that reads from 0 to 50 kg. The length of...

    Text Solution

    |

  8. If the pitch of the sound of a source appears to drop by 10% to a mov...

    Text Solution

    |

  9. A body of mass m suspended from a spring executes SHM. Calculate ratio...

    Text Solution

    |

  10. A string of mass 2.50kg is under a tension os 200N. The length of the ...

    Text Solution

    |

  11. Which of the following funchtions of time represent (a) periodic and (...

    Text Solution

    |

  12. The equation of a plane progressive wave is give by equation y=10sin...

    Text Solution

    |

  13. A tuning fork arrangement (pair) produces 4 beats//sec with one fork o...

    Text Solution

    |

  14. A pipe 20 cm long is closed at one end, which harmonic mode of the pip...

    Text Solution

    |

  15. The length of wire between the two ends of a sonometer is 105 cm. Wher...

    Text Solution

    |

  16. The transverse displacement of a string (clamped at its two ends ) is ...

    Text Solution

    |

  17. A wire stretched between two rigid supports vibrates in its fundamenta...

    Text Solution

    |

  18. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

    Text Solution

    |

  19. A progressive wave of frequency 500Hz is travelling with a velocity of...

    Text Solution

    |

  20. An observer moves towards a stationary source of sound, with a veloci...

    Text Solution

    |