Home
Class 11
PHYSICS
In the arrangement shown in figure, pull...

In the arrangement shown in figure, pulleys are light and spring are ideal. `K_(1)`, `k_(2)`, `k_(3)`and `k_(4)` are force constant of the spring. Calculate period of small vertical oscillations of block of mass `m`.

Text Solution

Verified by Experts

The correct Answer is:
2
`T = 2pi sqrt(4m((1)/(K_(1))+(1)/(K_(2))+(1)/(K_(3))+(1)/(K_(4))))`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NARAYNA|Exercise LEVEL-I (H.W)|1 Videos

  • OSCILLATIONS

    NARAYNA|Exercise DISPLACEMENT|6 Videos

  • OSCILLATIONS

    NARAYNA|Exercise Passage-XIII|1 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

Similar Questions

Explore conceptually related problems

In the arrangement shown in the diagram, pulleys are small and springs are ideal. k_(1)=k_(2)=k_(3)=k_(4)=10Nm^(-1) are force constants of the springs and mass m=10kg. If the time period of small vertical oscillations of the block of mass m is given by 2pix seconds, then find the value of x.

In the arrangement shown if Fig. Pulleys are small and lught and spring are ideal and K_1=25(pi^2)(N)/(m) , K_2=2K_1 , K_3= and K_4=4K_1 are the force constant of the spring. Calculate the period of small vertical oscillation of block of mass m=3kg .

Two spring of spring constants k_(1) and k_(2) ar joined and are connected to a mass m as shown in the figure. Calculate the frequency of oscillation of mass m.

There is a system of infinite pulleys and springs.Spring constants are in GP as k 2k 4k 8k.........oo as shown in the figure.All the pulleys are massless frictionless and strings are massless and inextensible.Then time period of small oscillations of the block will be (Mass of block is m ). qquad (in ) (i) 2

In the situation as shown in figure time period of small vertical oscillation of block will be - (String, springs and pulley are ideal)

As shown in the figure, two light springs of force constant k_(1) and k_(2) oscillate a block of mass m. Its effective force constant will be

Figure shows a system consisting of pulley having radius R, a spring of force constant k and a block of mass m. Find the period of its vertical oscillation.

As shown in the figure a block of mass m is hung from the ceiling by the system of springs consisting of two layers. The force constant of each of the springs is k. The frequency of the vertical oscillations of the block is

Two light spring of force constants k_(1) and k_(2) and a block of mass m are in one line AB on a smooth horizontal table such that one end of each spring is fixed on rigid supports and the other end is free as shown in the figure. The distance CD between the spring is 60cm . If the block moves along AB with a velocity 120 cm//s in between the springs, calculate the period of oscillation of the block. (take k_(1) = 1.8 N//m , k_(2) = 3.2 N//m , m = 200 g )

Two springs are jonied and connected to a mass m as shown in figure. If the force constants of the two springs are k_(1) and k_(2) , shown that frequency of oscillation of mass m is

NARAYNA-OSCILLATIONS-INTEGER ANSWER QUESTIONS
  1. In the given spring block system if k = 25 pi^(2) Nm^(-1), find time p...

    Text Solution

    |

  2. Consider a liquid which fills a uniform U - tube uniform U- tube, as s...

    Text Solution

    |

  3. A uniform plank of mass m = 1kg, free to move in the horizontal direct...

    Text Solution

    |

  4. Two simple pendulums A and B having lengths l and (l)/(4) respectively...

    Text Solution

    |

  5. In the arrangement shown in figure, pulleys are light and spring are i...

    Text Solution

    |

  6. Two very small particles are executing SHM along very near parallel li...

    Text Solution

    |

  7. A string secured at its ends is stretched with a force of tension F. ...

    Text Solution

    |

  8. The system shown is lying on a smooth horizontal surface. Mass m is co...

    Text Solution

    |

  9. A seimicircular uniform wore of radius R = pi can rotate frelly about ...

    Text Solution

    |

  10. A weightless rigid rod with a small iron bob at the end is hinged at p...

    Text Solution

    |

  11. A rod of mass m and length l hinged at one end is connected by two spr...

    Text Solution

    |

  12. A uniform dics of mass m and radius R=(80)/(23pi^2)m is pivoted smooth...

    Text Solution

    |

  13. In the figure shown, mass 2m connected with a spring of force constant...

    Text Solution

    |

  14. A small body of mass m is connected to two horizontal spring of elasti...

    Text Solution

    |

  15. A particle of mass 1kg constrained to move along x axis under the acti...

    Text Solution

    |

  16. A small particle is tied by the help of two strings to vertical walls ...

    Text Solution

    |

  17. In the system shown in figure A(0) and 4A(0) are the area of the pisto...

    Text Solution

    |

  18. A small ball of mass 1kg is released from a smooth horizontal pipe con...

    Text Solution

    |

  19. Two point masses m and 2m initially at rest are at separation R apart ...

    Text Solution

    |