Home
Class 11
PHYSICS
Plot the corresponding SHM of particle. ...

Plot the corresponding SHM of particle. Indicate the intial `(t=0)` position of the particle, the radius of the circle and angular speed of the rotating particle. Consider sense of rotation to be anticlockwise and x in cm and t is in s.
(c ) `x=3sin(2pit+(pi)/(4))`

Text Solution

Verified by Experts

`x=3sin(2pit+(pi)/(4))`
`"i.e. "x=3cos {((3pi)/(2)+(2pit+(pi)/(4)))}`
`x=3cos(2pit+(7pi)/(4)).`
Hence `A=3cm, omega =2pi" rad s"^(-1), phi=(7pi)/(4)" rad"`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|4 Videos
  • MOTION IN PLANE

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|47 Videos
  • PHYSICAL WORLD

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|30 Videos

Similar Questions

Explore conceptually related problems

The position x of a particle varies with time t as x = at^(2) -bt^(3) . For what value of time acceleration is zero?

The equation to the x - projection of the radius vector of the rotating paticle is given by x(t)=Acos (((2pi)/(4))t+(pi)/(4)) . Find the period of the wave function.

A particle located at x = 0 at time t=0 starts moving along positive x-direction with velocity v that varies as v = asqrt(x) . The displacement of the particle varies with time as :

SUBHASH PUBLICATION-OSCILLATIONS-NUMERICALS WITH SOLUTIONS
  1. A body executes S.H.M under influence of a force with a time period of...

    Text Solution

    |

  2. A spring balance has a scale that reads from 0 to 50 kg. The length of...

    Text Solution

    |

  3. A spring having a spring constant 1200Mn^(-1) is mounted on a horizont...

    Text Solution

    |

  4. Plot the corresponding SHM of particle. Indicate the intial (t=0) posi...

    Text Solution

    |

  5. Plot the corresponding SHM of particle. Indicate the intial (t=0) posi...

    Text Solution

    |

  6. Plot the corresponding SHM of particle. Indicate the intial (t=0) posi...

    Text Solution

    |

  7. Plot the corresponding SHM of particle. Indicate the intial (t=0) posi...

    Text Solution

    |

  8. Calculate the maximum extension of the spring in the following two cas...

    Text Solution

    |

  9. The acceleration due to gravity on the surface of the Moon is 1.7ms^(-...

    Text Solution

    |

  10. A simple pendulum of length 'I' and having a bob of mass M is suspende...

    Text Solution

    |

  11. A cylindrical piece of cork of density rho, base area A and height h, ...

    Text Solution

    |

  12. An air champer of volume 'V' has a neck area of cross - section A into...

    Text Solution

    |

  13. A circular disc of mass 10 kg is suspended by a wire attached to its c...

    Text Solution

    |

  14. A body describes SHM with an amplitude of 0.05 m and a period of 0.2 s...

    Text Solution

    |

  15. A mass attached to a spring is free to oscillate, with an angular velo...

    Text Solution

    |

  16. You are riding in an automobile of mass 3000 kg. Assuming that you are...

    Text Solution

    |

  17. Show that for a particle in linear system, the average K.E. over a per...

    Text Solution

    |

  18. The period of oscillation of a simple pendulum is 1.45 s. If the densi...

    Text Solution

    |

  19. Calculate the effective spring constant in each case and hence write t...

    Text Solution

    |

  20. Show that in simple harmoni motion, the acceleration is directly propo...

    Text Solution

    |