Home
Class 12
PHYSICS
A simple harmonic motion is represented ...

A simple harmonic motion is represented by :
`y=5(sin3pit+sqrt(3)cos3pit)cm` The amplitude and time period of the motion by :

A

`100 cm`

B

`5 cm`

C

`200 cm`

D

`1000 cm`

Text Solution

Verified by Experts

The correct Answer is:
D

`y = 10 ((1)/(2)sin3pit + sqrt(3)/(2)cos3pit) = 10 sin (3pit + (pi)/(3))`
thus amplitude is `10 m` or `1000 cm`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - I|26 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - II|1 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 1, PART - I|25 Videos
  • SEMICONDUCTORS

    RESONANCE ENGLISH|Exercise Exercise 3|88 Videos
  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PHYSICS|784 Videos

Similar Questions

Explore conceptually related problems

An SHM is give by y=5["sin"(3pit)+sqrt(3)"cos"(3pit)] . What is the amplitude of the motion of y in metre ?

The acceleration of a certain simple harmonic oscillator is given by a=-(35.28 m//s^(2))cos4.2t The amplitude of the simple harmonic motion is

If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alphax = 0 , its time period is :

The displacement of a particle executing simple harmonic motion is given by y=A_(0)+A sin omegat+B cos omegat . Then the amplitude of its oscillation is given by

Two simple harmonic motions are represented by the equations. y_(1)=10"sin"(pi)/(4)(12t+1),y_(2)=5(sin3pt+sqrt(3)cos3pt) the ratio of their amplitudes is

Two simple harmonic motions are represented by the equations y_(1) = 10 sin(3pit + pi//4) and y_(2) = 5(sin 3pit + sqrt(3)cos 3pit) their amplitude are in the ratio of ………… .

A particle executing of a simple harmonic motion covers a distance equal to half its amplitude in on e second . Then the time period of the simple harmonic motion is

The simple harmonic motion of a particle is given by x = a sin 2 pit . Then, the location of the particle from its mean position at a time 1//8^(th) of second is

The displacement x(in metres) of a particle performing simple harmonic motion is related to time t(in seconds) as x=0.05cos(4pit+(pi)/4) .the frequency of the motion will be

The equation of a particle executing simple harmonic motion is x=(5m)sin[(pis^-1)t+pi/3]. Write down the amplitude time period and maximum speed. Also find the velocity at t=1s.

RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 1, PART - II
  1. A toy car of mass m is having two similar rubber ribbons attached to i...

    Text Solution

    |

  2. A mass of 1 kg attached to the bottom of a spring has a certain freque...

    Text Solution

    |

  3. A ball of mass 2kg hanging from a spring oscillates with a time period...

    Text Solution

    |

  4. A smooth inclined plane having angle of inclination 30^(@) with horizo...

    Text Solution

    |

  5. A particle executes simple harmonic motion under the restoring force p...

    Text Solution

    |

  6. Four massless springs whose force constants are 2k, 2k, k and 2k respe...

    Text Solution

    |

  7. The total mechanical energy of a spring mass system in simple harmonic...

    Text Solution

    |

  8. Two apdulums begin to swing simultaneosuly. The first pendulum makes 9...

    Text Solution

    |

  9. Two pendulums at rest swinging together. Their lengths are respectivel...

    Text Solution

    |

  10. A man measures time period of a pendulum (T) in stationary lift. If th...

    Text Solution

    |

  11. A simple pendulum has some time period T. What will be the percentage ...

    Text Solution

    |

  12. If a simple pendulum having a string of with length L and a bob of mas...

    Text Solution

    |

  13. A 25kg uniform solid with a 20cm radius respectively by a verticle wir...

    Text Solution

    |

  14. A metre stick swinging about its one end oscillates with frequency f(0...

    Text Solution

    |

  15. When two mutually perpendicular simple harmonic motions of same freque...

    Text Solution

    |

  16. The position of a particle in motion is given by y = B + Csinomegat + ...

    Text Solution

    |

  17. A simple harmonic motion is represented by : y=5(sin3pit+sqrt(3)cos3...

    Text Solution

    |

  18. The position vector of a particle moving in x-y plane is given by ve...

    Text Solution

    |

  19. When an oscillator completes 100 oscillation its amplitude reduced to ...

    Text Solution

    |

  20. The damping force on an oscillator is directly proportional to the vel...

    Text Solution

    |