Home
Class 11
PHYSICS
The equation of a particle executing sim...

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.

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the given equation of motion and extract the required parameters. ### Given: The equation of motion is: \[ x = (5 \, \text{m}) \sin\left(\pi t + \frac{\pi}{3}\right) \] ### Step 1: Identify the Amplitude The amplitude \( A \) is the coefficient of the sine function in the equation. ...
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    HC VERMA ENGLISH|Exercise Objective -1|21 Videos
  • SIMPLE HARMONIC MOTION

    HC VERMA ENGLISH|Exercise Objective-2|15 Videos
  • SIMPLE HARMONIC MOTION

    HC VERMA ENGLISH|Exercise Question for short Answer|15 Videos
  • ROTATIONAL MECHANICS

    HC VERMA ENGLISH|Exercise Questions for short Answer|21 Videos
  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA ENGLISH|Exercise Objective-2|7 Videos
HC VERMA ENGLISH-SIMPLE HARMONIC MOTION-worked out Examples
  1. The equation of a particle executing simple harmonic motion is x=(5m)s...

    Text Solution

    |

  2. A block of mass 5 kg executes simple harmonic motion under the restori...

    Text Solution

    |

  3. A particle executing simple harmonic motion has angular frequency 6.28...

    Text Solution

    |

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

    Text Solution

    |

  5. A block of mass m hangs from a vertical spring of spring constant k. I...

    Text Solution

    |

  6. A particle suspended from a vertical spring oscillates 10 times per s...

    Text Solution

    |

  7. The pulley shown in figure has a moment of inertias I about its axis a...

    Text Solution

    |

  8. The friction coefficient between the two blocks shown in figure is mu ...

    Text Solution

    |

  9. The left block in filgure collides inelastically with the right block ...

    Text Solution

    |

  10. Describe the motion of the mass m shown in figure. The walls and the b...

    Text Solution

    |

  11. A block of mass m is suspended from the ceiling of a stationary standi...

    Text Solution

    |

  12. The spring as shown in figure is kept in a stretched position with ext...

    Text Solution

    |

  13. Assume that as narrow tunnel is dug between two diametrically opposite...

    Text Solution

    |

  14. A simple pendulum of length 40 cm oscillates with an angular amplitude...

    Text Solution

    |

  15. A simple pendulum having a bob of mass m under goes small oscillations...

    Text Solution

    |

  16. A simple pendulum is taken at a place where its separation from the ea...

    Text Solution

    |

  17. A simple pendulum is suspended from the ceiling a car accelerating uni...

    Text Solution

    |

  18. A uniform meter stick is suspended through a small pin hole at the 10 ...

    Text Solution

    |

  19. The moment of inertia of the disc used in a torsional pendulum about t...

    Text Solution

    |

  20. A uniform rod of mass m and length l is suspended through a light wire...

    Text Solution

    |