Home
Class 11
PHYSICS
A particle executing SHM is described by...

A particle executing SHM is described by the displacement function `x(t)=Acos(omegat+phi)`, if the initial (t=0) position of the particle is 1 cm, its initial velocity is `pi" cm "s^(-1)` and its angular frequency is `pis^(-1)`, then the amplitude of its motion is

A

1 cm

B

`sqrt2 cm `

C

`2 cm`

D

`2.5 cm`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer Type|5 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer Type|9 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS ENGLISH|Exercise Subjective type|2 Videos

  • KINETIC THEORY OF GASES AND FIRST LAW OF THERMODYNAMICS

    CENGAGE PHYSICS ENGLISH|Exercise Interger|11 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Interger type|3 Videos

Similar Questions

Explore conceptually related problems

The motion of a particle in S.H.M. is described by the displacement function, x=Acos(omegat+phi) , If the initial (t=0) position of the particle is 1cm and its initial velocity is omega cm s^(-1) , what are its amplitude and initial phase angle ? The angular frequency of the particle is pis^(-1) . If instead of the cosine function, we choose the sine function to describe the SHM : x=B sin(omegat+alpha) , what are the amplitude and initial phase of the particle with the above initial conditions ?

A particle is executing SHM given by x = A sin (pit + phi) . The initial displacement of particle is 1 cm and its initial velocity is pi cm//sec . Find the amplitude of motion and initial phase of the particle.

A particle is executing SHM with an amplitude 4 cm. the displacment at which its energy is half kinetic and half potential is

A particle executing SHM with an amplitude A. The displacement of the particle when its potential energy is half of its total energy is

A particle executing SHM of amplitude a has displace ment (a)/(2) at t=(T)/(4) and a negative velocity. The epoch of the particle is

x - t equation of a particle executing SHM is x = Acos (omega t - 45^(@)) Find the point from where particle starts its journey and the direction of its initial velocity.

The displacement-time equation of a particle executing SHM is A-Asin(omegat+phi) . At tme t=0 position of the particle is x= A/2 and it is moving along negative x-direction. Then the angle phi can be

A particle is executing SHM, whose equation is given below x=A cos (omegat+phi) . If t=0 , particle is mean position going towards positive x-direction then phi is equal to

A particle executing SHM along y-axis, which is described by y = 10 "sin"(pi t)/(4) , phase of particle at t =2s is

A particle executing SHM of amplitude 4 cm and T=4 s .The time taken by it to move from positive extreme position to half the amplitude is

CENGAGE PHYSICS ENGLISH-LINEAR AND ANGULAR SIMPLE HARMONIC MOTION-Single correct Answer Type
  1. Two particles undergo SHM along parallel lines with the same time peri...

    Text Solution

    |

  2. The maximum acceleration of a particle in SHM is made two times keepin...

    Text Solution

    |

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

    Text Solution

    |

  4. A particle executes simple harmonic motion with an amplitude of 4 cm ....

    Text Solution

    |

  5. A particle is executing SHM according to the equation x=A cosomegat. A...

    Text Solution

    |

  6. The total energy of the body executing S.H.M. is E. Then the kinetic e...

    Text Solution

    |

  7. A body is executing simple harmonic motion. At a displacement x (from ...

    Text Solution

    |

  8. An object of mass 0.2 kg executes simple harmonic oscillation along th...

    Text Solution

    |

  9. A particle of mass (m) is executing oscillations about the origin on t...

    Text Solution

    |

  10. The variation of PEE of harmonic oscillator is as shown in figure. The...

    Text Solution

    |

  11. A particle is executing SHM between points-X(m)andX(m), as shown in fi...

    Text Solution

    |

  12. One end of a spring of force constant k is fixed to a vertical wall an...

    Text Solution

    |

  13. Three masses 700g, 500g, and 400 g are suspended at the end of a sprin...

    Text Solution

    |

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

    Text Solution

    |

  15. A body at the end of a spring executes SHM with a period t(1), while t...

    Text Solution

    |

  16. Two identical springs are attached to a small block P. The other ends ...

    Text Solution

    |

  17. In the following arrangements, block is slightly displaced vertically ...

    Text Solution

    |

  18. A block of mass m is at rest on the another blcok of same mass as show...

    Text Solution

    |

  19. The displacement of a particle in simple harmonic motion in one time p...

    Text Solution

    |

  20. The displacement of a particle varies with time as x = 12 sin omega t ...

    Text Solution

    |