Home
Class 11
PHYSICS
The equation of motion of a particle in ...

The equation of motion of a particle in `SHM` is `a +16 pi^(2)x = 0`. Here 'a' is linear acceleration of the particle at displacement `x (a,x` are in `SI)`. Its time period is

A

`(1)/(4)s`

B

`(1)/(2)`s

C

1 s

D

2 s

Text Solution

Verified by Experts

The correct Answer is:
B

`a = - 16 pi^(2) x`
`omega = 4pi`
`T = (2pi)/(4pi) = 0.5 s`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - II (C.W)|27 Videos
  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - II (H.W)|19 Videos
  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - I (C.W)|63 Videos
  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos
  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

Similar Questions

Explore conceptually related problems

The equation of motion of a particle in SHM is a +4x = 0 . Here 'a' is linear acceleration of the particle at displacement 'x' in metre. Its time period is

The equation of motion of a particle executing S.H.M. is a = - bx , where a is the acceleration of the particle, x is the displacement from the mean position and b is a constant. What is the time period of the particle ?

The equation of motion of a particle executing SHM is ((d^2 x)/(dt^2))+kx=0 . The time period of the particle will be :

The displacement of a particle in an SHM in one time period is

The equation of S.H.M. of a particle is a+4pi^(2)x=0 , where a is instantaneous linear acceleration at displacement x. Then the frequency of motion is

The equation of motion of a particle executing simple harmonic motion is a+16pi^(2)x = 0 In this equation, a is the linear acceleration in m//s^(2) of the particle at a displacement x in meter. The time period in simple harmonic motion is

a - x equation of a particle in SHM is a + 4x = 0 Here, a is in cm//s^(2) and x in cm.Find time period in second.

The differential equation of a particle performing a S.H.M. is (d^(2)x)/(dt^(2))+ 64x=0 . The period of oscillation of the particle is

A particle executing SHM has an acceleration of 0.5cms^(-1) when its displacement is 2 cm. find the time period.

The displacement equation of a particle performing S.H.M. is x = 10 sin (2pit+(pi)/(6)) m. Then the initial displacement of a particle is

NARAYNA-OSCILLATIONS-EXERCISE - I (H.W)
  1. An object is attched to the bottom of a light vertical spring and set ...

    Text Solution

    |

  2. A particle executes SHM along a straight line 4cm long. When the displ...

    Text Solution

    |

  3. The equation of motion of a particle in SHM is a +16 pi^(2)x = 0. Here...

    Text Solution

    |

  4. A body executing SHM has a maximum velocity of 1ms^(-1) and a maximum ...

    Text Solution

    |

  5. The acceleration of a particle in SHM is 0.8ms^(-2), when its displace...

    Text Solution

    |

  6. A body of mass 0.5kg is performing SHM with a time period .^(pi)//(2) ...

    Text Solution

    |

  7. A body of mass 1//4 kg is in SHM and its displacement is given by the ...

    Text Solution

    |

  8. Four simple harmonic vibrations x(1) = 8s "in" (omegat), x(2) = 6 si...

    Text Solution

    |

  9. A sewing machine needle is oscillating simple harmonically in a vertic...

    Text Solution

    |

  10. A particle executing SHM is described by the displacement function x(t...

    Text Solution

    |

  11. The velocities of a body executing SHM at displacement 'a' and 'b' are...

    Text Solution

    |

  12. A block of 0.5kg is placed on a horizontal platform. The system is mak...

    Text Solution

    |

  13. Due to some force F(1) a body oscillates with period 4//5s and due to ...

    Text Solution

    |

  14. A simple pendulum performs simple harmonic motion about x=0 with an am...

    Text Solution

    |

  15. particle is executing the motion x=A cos (omegat-theta) The maximum ve...

    Text Solution

    |

  16. A particle executes simple harmonic motion with a period of 16s. At ti...

    Text Solution

    |

  17. A particle executing simple harmonic motion with amplitude of 0.1 m. A...

    Text Solution

    |

  18. A body is executing SHM. If the force acting on the body is 6N when th...

    Text Solution

    |

  19. A particle executes SHM on a straight line. At two positions, its velo...

    Text Solution

    |

  20. A particle moves such that its acceleration is given by a =- beta (x-2...

    Text Solution

    |