Home
Class 12
PHYSICS
A 2.5 kg collar is attached to a spring...

A 2.5 kg collar is attached to a spring of spring constant `250 Nm^(-1)` . It slides without friction over a horizontal surface . It is displaced from its equilibrium position by 20 cm and releasd. Calculate the period of osciallation and the maximum speed.

Text Solution

AI Generated Solution

To solve the problem step by step, we will calculate the period of oscillation and the maximum speed of the collar attached to the spring. ### Step 1: Identify the given values - Mass of the collar (m) = 2.5 kg - Spring constant (k) = 250 N/m - Displacement from equilibrium (x) = 20 cm = 0.2 m (convert to meters) ### Step 2: Calculate the period of oscillation ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Exercise|18 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) (OBJECTIVE TYPE QUESTIONS)|60 Videos
  • OSCILLATIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-J )|8 Videos
  • NUCLEI

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-D)|10 Videos
  • PHYSICAL WORLD

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (Section-B)|4 Videos

Similar Questions

Explore conceptually related problems

A 10 kg collar is attached to a spring of spring constant 1000 Nm^(-1) . It slides without friction over a horizontal surface. If is displaced from its equilibrium position by 20 cm and released . Calculate (a) The period of oscillation (b) The maximum speed Hint : T= 2pi sqrt((m)/(k)) , v_(m) = A omega = A sqrt((k)/(m))

A 5 kg collar is attached to a spring of spring constant 500 Nm^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10 cm and released. Calculate (a) The period of oscillations (b) The maximum speed and (c) maximum acceleration of the collar.

A 5 kg collar is attached to a spring of spring constant 500 N m^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10 cm and released. The time period of oscillation is

A 2.5 kg collar attached to a spring of foce constant 1000 Nm^(-1) slides without friction on a horizontal rod. The collar is displaced from its equilibrium position by 5.0 cm and released. Calculate (i) the period of oscillation (ii) the maximum speed of the collar and (iii) the maximum acceleration of the collar.

A 5kg collar is attached to a spring . It slides without friction over a horizontal surface. It is displaced from its equilibrium position by 10 cm and released , its maximum speed is 1 ms^(-1) Calculate (a) Spring constant (b) The period of oscillation (c ) Maximum acceleration of the collar Hint : m = 5 kg , A= 0.1 m ,k =?, T =? or a=? , v_(m) =1 ms^(-1) v_(m) = Aomega =A sqrt((k)/(m)) Find k, T = 2pi sqrt((m)/(k)) a_(max) = omega^(2) A = (k)/(m) A

A 4 kg roller is attached to a massless spring of spring constant k = 100 N/m. It rolls without slipping along a frcitionless horizontal road. The roller is displaced from its equilibrium position by 10 cm and then released. It rolls without slipping along a frictionless horizontal road. The roller is displaced from its equilibrium position by 10 cm and then released. Its maximum speed will be

A trolley of mass 3.0kg is connected to two identical spring each of force constant 600Nm^(-1) as shown in figure. If the trolley is displaced from its equilibrium position by 5.0 cm and released, what is (a) the period of ensuing oscillation? (b) the maximum speed of trolley? (c) How much is the total energy dissipated as heat by the time the trolley comes to rest due to damping forces?

A mass of 1.5 kg is connected to two identical springs each of force constant 300 Nm^(-1) as shown in the figure. If the mass is displaced from its equilibrium position by 10cm, then the period of oscillation is

A block of mass m hangs from a vertical spring of spring constant k. If it is displaced from its equilibrium position, find the time period of oscillations.

A mass of 1.5 kg is connected to two identical springs each of force constant 300 Nm^(-1) as shown in the figure. If the mass is displaced from its equilibrium position by 10 cm, then maximum speed of the trolley is

AAKASH INSTITUTE ENGLISH-OSCILLATIONS-EXAMPLE
  1. A nurse in a hospital , noted for a patient that heart was beating 75 ...

    Text Solution

    |

  2. Which of the following functions of time represented (a) periodic an...

    Text Solution

    |

  3. Categorise the following function of time : sin omega t + sin 3 omega ...

    Text Solution

    |

  4. Categories the following function of time 3 sin ( 2 omegat - (pi)/( 4)...

    Text Solution

    |

  5. Figure depicts two circular motions. The radius of the circle, the per...

    Text Solution

    |

  6. In the figure, dots and arrows show the position and the velocity of a...

    Text Solution

    |

  7. Plot the corresponding reference circle for given SHM, indicate the in...

    Text Solution

    |

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

    Text Solution

    |

  9. A particle executes SHM with a time period of 2s and amplitude 10 cm ....

    Text Solution

    |

  10. A particle of mass 2 kg executing SHM has amplitude 10 cm and time pe...

    Text Solution

    |

  11. The speed of a particle executing SHM with amplitude of displacement 5...

    Text Solution

    |

  12. Two identical springs of spring constant k are attached to a block of ...

    Text Solution

    |

  13. Howdoes the huge ball ( 5.4 xx 10^(5) kg ) hanging on the 22^(nd) floo...

    Text Solution

    |

  14. A block whose mass is 2 kg is fastened on a spring whose spring consta...

    Text Solution

    |

  15. A particle executes SHM with amplitude A and time period T. When the d...

    Text Solution

    |

  16. A particle of mass 0.2 kg is excuting SHM of amplitude 0.2 m. When it ...

    Text Solution

    |

  17. A 2.5 kg collar is attached to a spring of spring constant 250 Nm^(-...

    Text Solution

    |

  18. The length of the simple pendulum which ticks seconds is

    Text Solution

    |

  19. If the length of a simple pendulum of a clock incrreases by 2% how mu...

    Text Solution

    |

  20. For the damped oscillator shown in Figure, the mass m of the block is...

    Text Solution

    |