Home
Class 11
PHYSICS
A particle is attached to a vertical spr...

A particle is attached to a vertical spring and is pulled down a distance `4 cm` below its equilibrium and is released from rest. The initial upward acceleration is `0.5ms^(-2)`. The angular frequency of oscillation is

A

`3.53 rad//s`

B

`0.28 rad//s`

C

`1.25 rad//s`

D

`0.08 rad//s`

Text Solution

Verified by Experts

The correct Answer is:
A

`T = 2pi sqrt|(x)/(a)|`
`:. omega = (2pi)/(T) = sqrt|(x)/(a)| = sqrt((0.5)/(4xx10^(-2)))`
` = 3.53 rad//s`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    DC PANDEY|Exercise Level 1 Subjective|39 Videos
  • SIMPLE HARMONIC MOTION

    DC PANDEY|Exercise Level 2 Single Correct|28 Videos
  • SIMPLE HARMONIC MOTION

    DC PANDEY|Exercise Level 1 Assertion And Reason|10 Videos
  • SEMICONDUCTORS AND ELECTRONIC DEVICES

    DC PANDEY|Exercise More than One Option is Correct|3 Videos
  • SOLVD PAPERS 2017 NEET, AIIMS & JIPMER

    DC PANDEY|Exercise Solved paper 2018(JIPMER)|38 Videos

Similar Questions

Explore conceptually related problems

A particle is attached to a vertical spring and is pulled down a distance 0.04m below its equilibrium position and is released from rest. The initial upward acceleration of the particle is 0.30 ms^(-2) . The period of the oscillation is

A particle executing SHM has a maximum speed of 0.5ms^(-1) and maximum acceleration of 1.0ms^(-2) . The angular frequency of oscillation is

If at some instant of time, the displacement of a simple harmonic oscillator is 0.02 m and its acceleration is 2ms^(-2) , then the angular frequency of the oscillator is

A block of mass m connected with a smooth perismatic wedge of mass m is released from rest when the spring is relaxed. Find the angular frequency of oscillation.

A mass of 0.5 kg is hung from a spring. Agradually increasing 0.5 N force is reuired topull the mass downward a distance of 0.25 m from its equilibrium position,if the mass s then released from this position, find (a) The total energy of the system . (b) The frequency of the oscillation (c ) The speed and acceleration of the mass as it passes the equilibrium position. (d) The speed and acceleration of the mas when the diplacement from equilibrium is 0.25 m (e) For the initial condition stated, write down the diplacement equation of motion for this mass.

A block of mass m=0.1 kg is connceted to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance ((x)/(2)) from the euilibrium position, it hits another block and comes to rest momentarily, while the other block moves with velocity 3ms^(-1) . The total initial energy of the spring is :

The acceleration of a particle in SHM is 0.8ms^(-2) , when its displacement is 0.2m . The frequency of its oscillation is

Initially a body is at rest. If its acceleration is 5ms^(-2) then the distance travelled in the 18^(th) second is :-

A mass m attached to a spring of spring constant k is stretched a distance x_0 from its equilibrium position and released with no initial velocity. The maximum speed attained by mass in its subsequent motion and the time at which this speed would be attained are, respectively.

A particle of mass m is rigidly attached at A to a ring of mass 3m and radius r . The system is released from rest and rolls without sliding. The angular acceleration of ring just after release is

DC PANDEY-SIMPLE HARMONIC MOTION-Level 1 Single Correct
  1. Two simple harmonic motions are given by y(1) = a sin [((pi)/(2))t + p...

    Text Solution

    |

  2. A particle starts performing simple harmonic motion. Its amplitude is ...

    Text Solution

    |

  3. Which of the following is not simple harmonic function ?

    Text Solution

    |

  4. The disperod of a particle varies according to the relation x=4 (cos p...

    Text Solution

    |

  5. Two pendulums X and Y of time periods 4 s and 4.2s are made to vibrate...

    Text Solution

    |

  6. A mass M is suspended from a massless spring. An additional mass m str...

    Text Solution

    |

  7. Two bodies P and Q of equal masses are suspended from two separate mas...

    Text Solution

    |

  8. A disc of radius R is pivoted at its rim. The period for small oscilla...

    Text Solution

    |

  9. Identify the correct variation of potential energy U as a function of ...

    Text Solution

    |

  10. If the length of a simple pendulum is equal to the radius of the earth...

    Text Solution

    |

  11. The displacement - time (x - t) graph of a particle executing simple h...

    Text Solution

    |

  12. In the figure shown the time period and the amplitude respectively, wh...

    Text Solution

    |

  13. The equation of motion of a particle of mass 1g is (d^(2)x)/(dt^(2)) +...

    Text Solution

    |

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

    Text Solution

    |

  15. The mass and diameter of a planet are twice those of earth. What will ...

    Text Solution

    |

  16. The resultant amplitude due to superposition of three simple harmonic ...

    Text Solution

    |

  17. Two SHMs s(1) = a sin omega t and s(2) = b sin omega t are superimpose...

    Text Solution

    |

  18. The amplitude of a particle executing SHM about O is 10 cm. Then

    Text Solution

    |

  19. A particle is attached to a vertical spring and is pulled down a dista...

    Text Solution

    |

  20. A block of mass 1kg is kept on smooth floor of a truck. One end of a s...

    Text Solution

    |