Home
Class 12
PHYSICS
A uniform disc of mass m and radius r is...

A uniform disc of mass m and radius r is suspended through a wire attached to its Centre. If the time period of the torsional oscillations be T, what is the torsional constant of the wire?

Text Solution

Verified by Experts

The correct Answer is:
(a) `2pisqrt((rsqrt(2))/(g)), r//2` , (b) `2pisqrt((L)/(sqrt(3)g)), (L)/(2sqrt(3))`.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 1, PART - II|36 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - I|26 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Board Level Exercise|24 Videos
  • SEMICONDUCTORS

    RESONANCE ENGLISH|Exercise Exercise 3|88 Videos
  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PHYSICS|784 Videos

Similar Questions

Explore conceptually related problems

For a uniform ring of mass M and radius R at its centre

A uniform solid sphere of mass m and radius R is suspended in vertical plane from a point on its periphery. The time period of its oscillation is

A disc of mass 1 kg and radius 10 cm is suspended by vertical wire at its centre. If the time period is 3.2 s. Find the modulus of torison.

A uniform semi-circular disc of mass m and radius r is suspended as shown in the figure. If T is the time period of small osciallations about an axis passing through point of supension and perpendicular to plane of disk. Then T is equal to

A uniform disc of radius 5.0 cm and mass 200g is fixed at its centre to a metal wire, the other end of which is fixed with a clamp. The hanging disc is rotated about the wire through an angle and is released. If the disc makes torsional oscillations with time period 0.20s, find the torsional constant of the wire.

A circular disc of mass 10kg is suspended by a wire attahced to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5s. The radius of the disc is 15cm. Determing the torsional spring constant of the wire. (Torsional spring constant alpha is definied by the relation J=-alphatheta , where J is the restoring coubple and theta the angle of twist.

A uniform rod of mass m and length l is suspended through a light wire of length l and torsional constant k as shown in figure. Find the time perid iof the system makes a. small oscillations in the vertical plane about the suspension point and b. angular oscillations in the horizontal plane about the centre of the rod.

Find time period of uniform disc of mass m and radius r suspended through point r//2 away from centre, oscillating in a plane parallel to its plane.

A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is

A uniform disc (of mass M and radius a ) has a hole (of radius b ) drilled through it. The centre of the hole is at a distance c from the centre of the original disc. What is the moment of inertia of the disc about an axis through the centre of the disc and perpendicular to its plane ?

RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 1, PART - I
  1. A particle is executing SHM. Find the positions of the particle where ...

    Text Solution

    |

  2. A particle performing SHM with amplitude 10cm. At What distance from m...

    Text Solution

    |

  3. An object of mass 0.2 kg executes simple harmonic oscillation along th...

    Text Solution

    |

  4. A spring mass system has time period of 2 second. What should be the s...

    Text Solution

    |

  5. A body of mass 2 kg suspended through a vertical spring executes simpl...

    Text Solution

    |

  6. A vertical spring-mass system with lower end of spring is fixed, made ...

    Text Solution

    |

  7. The spring shown in figure is unstretched when a man starts pulling on...

    Text Solution

    |

  8. Three spring mass systems are shown in figure. Assuming gravity free s...

    Text Solution

    |

  9. Spring mass system is shown in figure. find the time period of vertica...

    Text Solution

    |

  10. Find the length of seconds pendulum at a place where g =4 pi^(2) m//s^...

    Text Solution

    |

  11. The angle made by the string of a simple pendulum with the vertical de...

    Text Solution

    |

  12. A pendulum clock giving correct time at a place where g=9.800 ms^-2 is...

    Text Solution

    |

  13. A pendulum is suspended in a lit and its period of oscillation is T(0)...

    Text Solution

    |

  14. Compound pendulum are made of A rod of length l suspended through a p...

    Text Solution

    |

  15. A uniform disc of mass m and radius r is suspended through a wire atta...

    Text Solution

    |

  16. A particle is subjected to two SHMs simultaneously X(1) = a(1) sinom...

    Text Solution

    |

  17. Three simple harmonic motion of equal amplitudes A and equal time peri...

    Text Solution

    |

  18. A particle simultaneously participates in two mutually perpendicular o...

    Text Solution

    |

  19. In forced oscillation of a particle the amplitude is maximum for a fre...

    Text Solution

    |

  20. For the damped oscillator shown in Fig, the mass of the block is 200 g...

    Text Solution

    |