Home
Class 11
PHYSICS
A uniform rod AB of mass m length 2a is ...

A uniform rod `AB` of mass `m` length `2a` is allowed to fall under gravity with `AB` in horizontal. When the speed of the rod is `v` suddenly the end `A` is fixed. Find the angular velocity with which it begins to rotate.

Text Solution

Verified by Experts


`bar(L_(1) =bar(L_(2)) rArr mva - I omega `
`mva = (m(2a)^(2))/3 omega rArr omega = (3v)/(4a)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 1|9 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 4|11 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

A uniform rod AB of length l rotating with an angular velocity omega while its centre moves with a linear velocity v=(omegal)/(6) If the end A of the rod is suddenly fixed, the angular velocity of

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 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 and length l is pivoted smoothly at O . A horizontal force acts at the bottom of the rod. a. Find the angular velocity of the rod as the function of angle of rotation theta. b.What is the maximum angular displacement of the rod?

In the figure shown, the instantaneous speed of end A of the rod is v to the left. The angular velocity of the rod of length L must be

A uniform rod of length l is held vertically on a horizontal floor fixing its lower end, the rod is allowed to fall onto the ground. Find (i) its angular velocity at that instant of reaching the ground (ii) The linear velocity with which the tip of rod hits the floor.

A rod of mass m and length l hinged at the centre is placed on a horizontal surface. A bullet of mass m moving with velocity v strikes the end. A of the rod and gets embedded in it. The angular velocity with which the systems rotates about its centre of mass after the bullet strikes the rod

Consider a uniform rod of mass M and length L is hinged at one end as shown. Initially the rod is vertical, it is slightly pushed and released. Find the angular velocity of rod and liner velocity of its one end when the rod becomes horizontal. Also calculate angular velocity of rod when it has rotated by an angle theta ( thetalt90^(@) ).

A rod is rotating with angular velocity omega about axis AB. Find costheta .

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV
  1. A uniform rod AB of mass m length 2a is allowed to fall under gravity ...

    Text Solution

    |

  2. For which of the following does the centre of mass lie outside the bod...

    Text Solution

    |

  3. Which of the following points is the likely position of the cent...

    Text Solution

    |

  4. A particle of mass m is moving in yz - plane with a uniform veloci...

    Text Solution

    |

  5. When a disc rotates with uniform angular velocity, which of the follow...

    Text Solution

    |

  6. A uniform square palte has a small piece Q of an irregular shape...

    Text Solution

    |

  7. In the above problem , the CM of the plate is now in the followin...

    Text Solution

    |

  8. The density of a non-uniform rod of length 1m is given by rho (x) = a ...

    Text Solution

    |

  9. A Merry -go-round, made of a ring-like plarfrom of radius R and mass M...

    Text Solution

    |

  10. Choose the correct alternative :

    Text Solution

    |

  11. Figure shows two identical particles 1 and 2 , each of mass m ...

    Text Solution

    |

  12. The net external torque on a system of particles about an axis is zero...

    Text Solution

    |

  13. A uniform cube of mass m and side a is placed on a frictionless ...

    Text Solution

    |

  14. A uniform uniform sphere of mass m and radius R is placed on a ro...

    Text Solution

    |

  15. A T shaped object with dimesions shown in the figure , is lying a...

    Text Solution

    |

  16. A circular ring of mass 6kg and radius a is placed such that its cente...

    Text Solution

    |

  17. In the figure d shown a hole of radius 2 cm is made in a semicir...

    Text Solution

    |

  18. The figure shows the positions and velocities of two particles . ...

    Text Solution

    |

  19. A rod of length 3m and its mass par unit length is directly propo...

    Text Solution

    |

  20. A wheel is rotating about an axis through its centre at 720 rp...

    Text Solution

    |

  21. A particle of mass m describes a circle of radius r . The centripetal ...

    Text Solution

    |