Home
Class 12
PHYSICS
A point performs simple harmonic oscilla...

A point performs simple harmonic oscillation of period T and the equation of motion is given by `x = a sin (omega t + (pi)/(6))`. After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity ?

A

`(T)/(12)`

B

`(T)/(8)`

C

`(T)/(3)`

D

`(T)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section D) (ASSERTION-REASON TYPE QUESTIONS)|13 Videos

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) (OBJECTIVE TYPE QUESTIONS)|30 Videos

  • NUCLEI

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-D)|10 Videos

  • PHYSICAL WORLD

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (Section-B)|4 Videos

Similar Questions

Explore conceptually related problems

What is the time - period of x = A sin (omega t + alpha) ?

Two simple harmonic motions given by, x = a sin (omega t+delta) and y = a sin (omega t + delta + (pi)/(2)) act on a particle will be

A simple harmonic oscillation has an amplitude A and time period T . The time required to travel from x = A to x= (A)/(2) is

A simple harmonic motino has amplitude A and time period T. The maxmum velocity will be

A particle performs simple harmonic motion about O with amolitude A and time period T . The magnitude of its acceleration at t=(T)/(8) s after the particle reaches the extreme position would be

A body is performing simple harmonic motion with amplitude a and time period T variation of its acceleration (f) with time (t) is shown in figure If at time t velocity of the body is v which of the following graph is correct?

A body is performing simple harmonic motion with amplitude a and time period T variation of its acceleration (f) with time (t) is shown in figure If at time t velocity of the body is v which of the following graph is correct?

The displacement of a particle executing simple harmonic motion is given by y = 4 sin(2t + phi) . The period of oscillation is

A particle executes a simple harmonic motion of time period T. Find the time taken by the particle to go directly from its mean position to half the amplitude.

The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100 pi (t + 0.05) , where X is in metres andt in second. The time period is second is

AAKASH INSTITUTE ENGLISH-OSCILLATIONS-Assignment (Section C) (PREVIOUS YEARS QUESTIONS)
  1. Which one of the following equations of motion represents simple harmo...

    Text Solution

    |

  2. Two simple harmonic motions of angular frequency 100 rad s^(-1) and 10...

    Text Solution

    |

  3. A point performs simple harmonic oscillation of period T and the equat...

    Text Solution

    |

  4. A mass of 2.0 kg is put on a flat pan attached to a vertical spring fi...

    Text Solution

    |

  5. The phase difference between the instantaneous velocity and accelerati...

    Text Solution

    |

  6. The particle executing simple harmonic motion has a kinetic energy K(0...

    Text Solution

    |

  7. A particle executes simple harmonic oscillation with an amplitudes a. ...

    Text Solution

    |

  8. A rectangular block of mass m and area of cross-section A floats in a ...

    Text Solution

    |

  9. The circular motion of a particle with constant speed is

    Text Solution

    |

  10. A particle executing simple harmonic motion of amplitude 5 cm has maxi...

    Text Solution

    |

  11. which one of following is a simple harmonic motion?

    Text Solution

    |

  12. A particle is moving along the x-axis and force acting on it is given ...

    Text Solution

    |

  13. Which one of the following statements is true for the speed v and the ...

    Text Solution

    |

  14. A particle of mass m is released from rest and follow a particle part ...

    Text Solution

    |

  15. In a simple harmonic motion, when the displacement is one-half the amp...

    Text Solution

    |

  16. A linear harmonic oscillator of force constant 2 xx 10^(6) Nm^(-1) and...

    Text Solution

    |

  17. Displacement between maximum potential energy position and maximum k...

    Text Solution

    |

  18. A particle of mass m oscillates with simple harmonic motion between po...

    Text Solution

    |

  19. The potential energy of a simple harmonic oscillator when the particle...

    Text Solution

    |

  20. If the length of a simple pendulum is increased by 2%, then the time p...

    Text Solution

    |