Home
Class 12
PHYSICS
A rod of mass 1kg and length 6.25 m is h...

A rod of mass 1kg and length 6.25 m is hinged at one end of a smooth horizontal surface. A force of magnitude `(pi)/(3)N` acts it such that it is always perpendicular to the rod. Find the time (in sec.) when the rod has rotated one revolution?

Text Solution

Verified by Experts

`Fl=(ml^(2))/(3)alpha`

`2pi=(1)/(2)alphat^(2)`
`t=sqrt((4pi)/(alpha))=sqrt((4piml)/(3F))`
`=sqrt((4pixx1xx6.25)/(3xx(pi)/(3)))=5sec.`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos
  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos
  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos
  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B perpendicular to the rod in horizontal direction. Speed of the point A of the rod after giving impulse is:

A thin uniform rod AB of mass m and length L is placed on a smooth horizontal table. A constant horizontal force of magnitude F starts acting on the rod at one of the ends AB , Initially, the force is perpendicular to the length of the rod. Taking the moment at which force starts acting as t=0 , find. (a) Distance moved by centre of mass of the rod in time t_(0) . (b) Magnitude of initial acceleration of the end A of the rod.

A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B , perpendicular to the rod in the horizontal direction. Speed of particlem P at a distance (l)/(6) from the centre towards A of the rod after time t = (pi m l)/(12 J) is.

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A uniform rod of mass m=5.0kg and length l=90cm rests on a smooth horizontal surface. One of the ends of the rod is struck with the impulse J=3.0N*s in a horizontal direction perpendicular to the rod. As a result, the rod obtains the momentum p=3.0N*s . Find the force with which one half of the rod will act on the other in the process of motion.

A rod of mass m and length L is kept on a horizontal smooth surface. The rod is hinged at its one end A . There are two springs, perpendicular to the rod, kept in the same horizontal plane. The spring of spring constant k is rigidly attached to the lower end of rod and spring of spring constant 12k just touches the rod at its midpoint C , as shown in the figure. If the rod is slightly displaced leftward and released then, the time period for small osciallation of the rod will be

A uniform rod of mass m and length l is at rest on smooth horizontal surface. An impulse P is applied to end B as shown. Distance travelled by the centre of the rod, while rod rotates by 90^(@)

A uniform rod of mass M and length L, area of cross section A is placed on a smooth horizontal surface. Forces acting on the rod are shown in the digram Total elastic potential energy stored in the rod is :

A uniform rod of mass m=2 kg and length l is kept on a smooth horizontal plane. If the ends A and B of the rod move with speeds v and 2v respectively perpendicular to the rod, find the: a. angulr velocity of CM of the rod. b. Kinetic energy of the rod (in Joule).

A rod of mass M and length L lying horizontally is free to rotate about a vertical axis through its end. A horizontal force F on the rod at the other end, the force always remains perpendicular to the rod. Find the angular velocity of the rod when it has turned an angle pi//2 .

BANSAL-TEST PAPERS-PHYSICS
  1. A cone of radius r and height h is kept on a turntable rotating with a...

    Text Solution

    |

  2. A uniform rope of length 12m and mass 12kg hangs vertically from a rig...

    Text Solution

    |

  3. Two block-spring mass system are moving on smooth horizontal surface a...

    Text Solution

    |

  4. An elastic string has a force constant k and mass m. the string hangs ...

    Text Solution

    |

  5. A rod of mass 1kg and length 6.25 m is hinged at one end of a smooth h...

    Text Solution

    |

  6. Find longest wavelength in Lyman series of hydrogen atom spectrum.

    Text Solution

    |

  7. The de-Broglie wavelength of an electron moving in the nth Bohr orbit ...

    Text Solution

    |

  8. Calculate the half life period of a radioactive substance if its activ...

    Text Solution

    |

  9. The total energy of eletcron in the ground state of hydrogen atom is -...

    Text Solution

    |

  10. A heshly prepared radioactive source of half life 2 hrs emits radiatio...

    Text Solution

    |

  11. The average current due to an electron orbiting the proton in the n^(t...

    Text Solution

    |

  12. The radius of the shortest orbit in a one electron system is 18 pm it...

    Text Solution

    |

  13. If E1, E2 and E3 represent respectively the kinetic energies of an el...

    Text Solution

    |

  14. if the wavelength of first member of Lyman series is lambda then calcu...

    Text Solution

    |

  15. The X-ray beam coming from an X-ray tube

    Text Solution

    |

  16. A beam of ultraviolet light of all wavelength passes through hydrogen ...

    Text Solution

    |

  17. Photons are incident from vacuum on a transparent material with a refr...

    Text Solution

    |

  18. An electron collides with a fixed hydrogen atom in its ground state. H...

    Text Solution

    |

  19. Assertion : Photoelectric effect supports the quantum nature of light....

    Text Solution

    |

  20. Which of the following pails constitute very similar radiations

    Text Solution

    |