Home
Class 11
PHYSICS
A particle moves with a simple harmonic ...

A particle moves with a simple harmonic motion. If the velocities at distance of 4cm and 5cm from the equilibrium position are 13 cm per second and 5 cm per second respectively, find the period and amplitude.
[Hint: Use the formula v=`omegasqrt(a^(2)-x^(2)).`]

Text Solution

Verified by Experts

The correct Answer is:
1.57s,5.15cm
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    NN GHOSH|Exercise Eexercies|39 Videos
  • SIMPLE AND COMPOUND PENDULUM

    NN GHOSH|Exercise Exercise|24 Videos
  • SPECIFIC HEAT CAPACITY OF GASES

    NN GHOSH|Exercise All Questions|17 Videos

Similar Questions

Explore conceptually related problems

A particle executing harmonic motion is having velocities v_1 and v_2 at distances is x_1 and x_2 from the equilibrium position. The amplitude of the motion is

A particle moves with simple harmonic motion in a straight line. When the distances of the particle from the equilibrium position are x_(1) and x_(2) , the corresponding velocities are u_(1) and u_(2) . Find the period of the moton.

A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm . At what displacement from the equilibrium position, is its energy half potential and half kinetic

A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal?

A body is vibrating in simple harmonic motion . If its acceleration in 12 cms^(-2) at a displacement 3 cm from the mean position, then time period is

A particle executes simple harmonic motion with an amplitude 9 cm. At what displacement from the mean position, energy is half kinetic and half potential ?

A particle executing simple harmonic motion has an amplitude of 6 cm . Its acceleration at a distance of 2 cm from the mean position is 8 cm/s^(2) The maximum speed of the particle is

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm / s . The frequency of its oscillation is

NN GHOSH-SIMPLE HARMONIC MOTION-Eexercies
  1. A particle moves with a simple harmonic motion. If the velocities at d...

    Text Solution

    |

  2. A point describes simle harmonic motion in a line 4 cm long. The veloc...

    Text Solution

    |

  3. A particle moves with simple harmonic motion in a straight line. When ...

    Text Solution

    |

  4. The maximum velocity of a body undergoing SHM is 0.004 ms^(-1) and its...

    Text Solution

    |

  5. A test tube of weight 5.6 g and external diameter 2.5 cm is allowed to...

    Text Solution

    |

  6. Find the phase difference between two particles executing simple harmo...

    Text Solution

    |

  7. A body of mass 10g executes SHM with amplitude 2 xx 10^(-2) m and time...

    Text Solution

    |

  8. A spring balance reading from 0 to 15kg is 10cm long. A body suspended...

    Text Solution

    |

  9. When the displacement is one-half the amplitude, what fraction of the ...

    Text Solution

    |

  10. A particle moves according to the equation f + 4x = 0, where x is its ...

    Text Solution

    |

  11. Assuming that the atoms of a solid of atomic weight 24 behave like har...

    Text Solution

    |

  12. The balance wheel of a watch vibrates with an angualr amplitude pi rad...

    Text Solution

    |

  13. A block is on a piston, which executes simple harmonic motion in the v...

    Text Solution

    |

  14. A body of mass m=0.50 kg is suspended from a rubber cord with elastici...

    Text Solution

    |

  15. Two springs of force constants k(1) and k(2) are joined together and t...

    Text Solution

    |

  16. Two springs of force constants k(1) and k(2) are attached to two oppos...

    Text Solution

    |

  17. A point of mass m is suspended at the end of a massless wire of length...

    Text Solution

    |

  18. Two mass m(1) and m(2) are suspended from a massless spring of force c...

    Text Solution

    |

  19. An ideal gas enclosed in a vertical cylindrical container supports a f...

    Text Solution

    |

  20. If the mass of a spring, m, is not negligible but small compared to th...

    Text Solution

    |