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

`10cm,3/2s`

B

`5cm,3/2s`

C

`10cm,2/3s`

D

`5cm,3/2s`

Text Solution

Verified by Experts

The correct Answer is:
C

`Y=5(sin3pit+sqrt(3)cos3pit)`
`y=10[sin(3pitau+pi/3)] A=10, T=2pi/3pi`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos
  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise LEVEL (2)|40 Videos
  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (True/False Type)|3 Videos
  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 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.

VMC MODULES ENGLISH-SIMPLE HARMONIC MOTION -6-previous year question
  1. A silver atom in a solid oscillates in simple harmonic motion in some ...

    Text Solution

    |

  2. The position co-ordinates of a particle moving in a 3-D coordinate sys...

    Text Solution

    |

  3. A particle is executing simple harmonic motion (SHM) of amplitude A, a...

    Text Solution

    |

  4. A rod of mass 'M' and length '2L' is suspended at its middle by a wire...

    Text Solution

    |

  5. A block of mass m, lying on a smooth horizontal surface, is attached t...

    Text Solution

    |

  6. A particle excutes simple harmonic motion with an amplitude of 5 cm. W...

    Text Solution

    |

  7. The mass and the diameter of a planet are three times the repective v...

    Text Solution

    |

  8. A pendulum is executing simple harmonic motion and its maximum kinet...

    Text Solution

    |

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

    Text Solution

    |

  10. A simple pendulum , made of a string of length l and a bob of ma...

    Text Solution

    |

  11. two light identical springs of spring constant K are attached horizon...

    Text Solution

    |

  12. A damped harmonic oscillator has a frequency of 5 oscillations per se...

    Text Solution

    |

  13. A simple pendulum oscillating in air has period T. The bob of the pend...

    Text Solution

    |

  14. A massless spring (K=800 N/m), attached with a mass (500g) is complete...

    Text Solution

    |

  15. Equation of motion for a particle performing damped harmonic oscillati...

    Text Solution

    |

  16. A uniform spring whose unstretched length is l has a force constant k....

    Text Solution

    |

  17. A cylindrical plastic bottle of negligible mass is filled with 310 ml ...

    Text Solution

    |

  18. A body is of mass 1 kg falls freely from a height of 100 m. on a platf...

    Text Solution

    |

  19. A particle undergoing simle harmonic motion has time dependent displac...

    Text Solution

    |

  20. Two masses m and (m)/(2) are connected at the two ends of a massless r...

    Text Solution

    |