Home
Class 11
PHYSICS
For a particle executing simple harmonic...

For a particle executing simple harmonic motion, the displacement from the mean position is given by `y= a sin (wt )`, where a, w are constants. Find the velocity and acceleration of the particle at any instant t.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Mathematical tools

    SL ARORA|Exercise Exercise|20 Videos

  • LAWS OF MOTION : FRICTION

    SL ARORA|Exercise Self Practice|95 Videos

  • Mechanical Properties of fluids

    SL ARORA|Exercise Exercise|459 Videos

Similar Questions

Explore conceptually related problems

The velocity of a particle in simple harmonic motion at displacement y from mean position is

While a particle executes linear simple harmonic motion

For a particle executing simple harmonic motion, the acceleration is proportional to

If a particle is executing simple harmonic motion, then acceleration of particle

The total energy of a particle executing simple harmonic motion is

The total energy of a particle, executing simple harmonic motion is. where x is the displacement from the mean position, hence total energy is independent of x.

A particle executes simple harmonic motion with an amplitude 9 cm. At what displacement from the mean position, energy is half kinetic and half potential ?

For a particle executing SHM, x = displacement from mean position, v = velocity and a = acceleration at any instant, then

Derive an expression for instantaneous velocity and acceleration of a particle executing simple harmonic motion.

A particle moving along the X-axis executes simple harmonic motion, then the force acting on it is given by where, A and K are positive constants.

SL ARORA-Mathematical tools-Exercise
  1. For a particle executing simple harmonic motion, the displacement from...

    Text Solution

    |

  2. Find dy/dx for the following functions:y= x^3- 3x^2 + 3x - (2/5).

    Text Solution

    |

  3. Find dy/dx for the following functions:y= ((x-1)(x-2))/sqrtx.

    Text Solution

    |

  4. Find dy/dx for the following functions: y= (sqrt x + (1/sqrt x))^2.

    Text Solution

    |

  5. Differentiate the following functions: (x^2 -4x +5)(x^3 -2).

    Text Solution

    |

  6. Differentiate the following functions:((2x +3)/(x^2-5)).

    Text Solution

    |

  7. Differentiate the following functions: ((sin x+ cosx)/(sin x - cos x).

    Text Solution

    |

  8. Differentiate the following functions: (4x^3 - 5x^2 + 1)^4.

    Text Solution

    |

  9. If the motion of aparticle is governed by the equation, s= 2t^3- 3t^2+...

    Text Solution

    |

  10. The angular displacement of a particle performing circular motion is ...

    Text Solution

    |

  11. Show that force can be expressed as the product of mass and accelerati...

    Text Solution

    |

  12. Integrate the following: 6x + 5x^2 - 2x^3 + (1/x^2)

    Text Solution

    |

  13. Integrate the following: ax^2 +bx+c

    Text Solution

    |

  14. Integrate the following:(x+(1/x))^3

    Text Solution

    |

  15. Integrate the following: 3 cosec^2 x- 5x+ sinx)

    Text Solution

    |

  16. Integrate the following: 3cosec^2 x +2sin 3x)

    Text Solution

    |

  17. Evaluate the following integrals:

    Text Solution

    |

  18. Evaluate the following integrals:

    Text Solution

    |

  19. Evaluate the following integrals:

    Text Solution

    |

  20. Evaluate the following integrals:

    Text Solution

    |

  21. Evaluate the following integrals:

    Text Solution

    |