Home
Class 12
PHYSICS
Categories the following function of tim...

Categories the following function of time `3 sin ( 2 omegat - (pi)/( 4))` as
(a) SHM , (b) Periodic but not SHM. Also give the period.

Text Solution

Verified by Experts

`3 sin( 2omegat- (pi)/(4)) ` represents S.H.M. with time period `(2pi)/( 2 omegat)` comparing it with `sin ((2pi)/( T) + phi)`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Exercise|18 Videos

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) (OBJECTIVE TYPE QUESTIONS)|60 Videos

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-J )|8 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

Categorise the following function of time : sin omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 2 terms repeats

Categorise the following function of time : cos^(2) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also , give the period Hint : cos^(2) omegat = (1)/(2) + (1)/(2) cos 2 omegat

Categorise the following function of time : cos^(3) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also find the period. Hint : cos^(3) omegat= (1)/(4)( 3 cos omegat- cos 3 omegat )

Categorise the following function of time e^(omega^(2)t) as (a) S.H.M. (b) Periodic but not S.H.M. Also , give period if it is periodic motion. Hint : Doest it repeat itself ?

Categorise the following function of time : sin omega t + sin 3 omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic motion? Give the period for each case. (i) sinomegat-cosomegat (ii) sin^(2)omegat (iii) cosomegat+2sin^(2)omegat

Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic motion? Give the period for each case. (i) sinomegat-cosomegat (ii) sin^(2)omegat (iii) cosomegat+2sin^(2)omegat

Which of the following functions has period 2pi ?

Which of the following functions of time represent (a) simple harmonic (b) periodic but not simple harmonic and (c ) non periodic motion? Give period for each case of periodic motion (omega is nay positive constant) (1) Sin^(3) omegat (2) 3cos (pi//4 -2 omegat) (3) cos omegat +cos 3 omegat + cos 5 omegat (4) e^(-omega^(2)t^(2)) (5) 1 + omegat +omega^(2) t^(2)

Which of the following functions of time represented (a) periodic and (b) non-periodic motion ? Given the period for each case of periodic motion ( omega is any positive constant(i) sin omega t-cos omegat(ii) log ( 2 omega)

AAKASH INSTITUTE ENGLISH-OSCILLATIONS-EXAMPLE
  1. A nurse in a hospital , noted for a patient that heart was beating 75 ...

    Text Solution

    |

  2. Which of the following functions of time represented (a) periodic an...

    Text Solution

    |

  3. Categorise the following function of time : sin omega t + sin 3 omega ...

    Text Solution

    |

  4. Categories the following function of time 3 sin ( 2 omegat - (pi)/( 4)...

    Text Solution

    |

  5. Figure depicts two circular motions. The radius of the circle, the per...

    Text Solution

    |

  6. In the figure, dots and arrows show the position and the velocity of a...

    Text Solution

    |

  7. Plot the corresponding reference circle for given SHM, indicate the in...

    Text Solution

    |

  8. A particle executes a simple harmonic motion of time period T. Find th...

    Text Solution

    |

  9. A particle executes SHM with a time period of 2s and amplitude 10 cm ....

    Text Solution

    |

  10. A particle of mass 2 kg executing SHM has amplitude 10 cm and time pe...

    Text Solution

    |

  11. The speed of a particle executing SHM with amplitude of displacement 5...

    Text Solution

    |

  12. Two identical springs of spring constant k are attached to a block of ...

    Text Solution

    |

  13. Howdoes the huge ball ( 5.4 xx 10^(5) kg ) hanging on the 22^(nd) floo...

    Text Solution

    |

  14. A block whose mass is 2 kg is fastened on a spring whose spring consta...

    Text Solution

    |

  15. A particle executes SHM with amplitude A and time period T. When the d...

    Text Solution

    |

  16. A particle of mass 0.2 kg is excuting SHM of amplitude 0.2 m. When it ...

    Text Solution

    |

  17. A 2.5 kg collar is attached to a spring of spring constant 250 Nm^(-...

    Text Solution

    |

  18. The length of the simple pendulum which ticks seconds is

    Text Solution

    |

  19. If the length of a simple pendulum of a clock incrreases by 2% how mu...

    Text Solution

    |

  20. For the damped oscillator shown in Figure, the mass m of the block is...

    Text Solution

    |