Home
Class 12
PHYSICS
A rod of length l forming an angle theta...


A rod of length `l` forming an angle `theta` with the horizontal strikes a frictionless floor at A with its centre of mass velocity `v_(0)` and no angular velocity. Assuming that the impact at A is perfectly elastic. Find the angular velocity of the rod immediately after the impact.

A

`( 3 v cos theta)/( 2l)`

B

`( 12v cos theta )/( l ( 1+ cos^2) theta)`

C

`(12v cos theta)/( l ( 1+ 3 cos ^(2) theta)`

D

`(v cos theta )/(l ( 1+ cos^(2) theta))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FIITJEE|Exercise SECTION (II) : (SUBJECTIVE )|33 Videos
  • KINEMATICS

    FIITJEE|Exercise SECTION(II) : MCQ ( SINGLE CORRECT)|47 Videos
  • KINEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|3 Videos
  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos
  • LAWS OF MOTION

    FIITJEE|Exercise COMPREHENSION-III|2 Videos

Similar Questions

Explore conceptually related problems

A rod AB of mass 3m and length 4a is falling freely in a horizontal position and c is a point distance a from A . When the speed of the rod is u , the point c collides with a particle of mass m which is moving vertically upwards with speed u . if the impact between the particle and the rod is perfectely elastic find The angular velocity of the rod immediately after the impact

A wodden log mass M and length L is hinged by a frictionless nail at O.A bullet of mass m strikes with velocity v and strikes with velocity v and sticks to it . Find angular velocity of the system immediately after after the collision about O . .

A ping-pong ball strikes a wall with a velocity of 10 ms^(-1) . If the collision is perfectly elastic, find the velocity if ball after impact

A uniform rod AB which is free to swing in the vertical plane about a horizontal axis through A, is hanging freely. A particle of equal mass strikes the rod with a velocity v_(0) and gets stucks to it. Find the angular velocity of the combination immediately after the collision.

A rod AB of length L and mass M is free to move on a frictionless horizontal surface . It is moving with a velocity v , as shown in figure. End B of rod AB strikes the end of the wall. Assuming elastic impact , the angular velocity of the rod AB , just after

A disk sliding with velocity u on a smooth horizontal plane strikes another identical disk kept at rest as shown in the figure. If the impact between the disks is perfectly elastic impact, find velocities of the disks after the impact.

A wooden log of mass M and length L is hinged by a frictionless nail at O.A bullet of mass m strikes with velocity v and sticks to it. Find angular velocity of the system immediately after the collision aboutO.

A rod of length 'l' is inclined at an angle 'theta' with the floor against a smooth vertical wall. If the end A moves instantaneously with velocity v_(1) what is the velocity of end B at the instant when rod makes 'theta' angle with the horizontal .

FIITJEE-KINEMATICS-SECTION(I): MCQ (SINGLE CORRECT)
  1. A man runs along a straight road. Naturally he leans a little in the f...

    Text Solution

    |

  2. A cat runs along a straight line with constant velocity of magnitude v...

    Text Solution

    |

  3. A rod of length l forming an angle theta with the horizontal strikes a...

    Text Solution

    |

  4. A projectile is fired at an angle of 30^(@) to the horizontal such tha...

    Text Solution

    |

  5. The magnitude of radius vector of a point varies with time as r = beta...

    Text Solution

    |

  6. In one dimensional motin, a 1 kg body experiences a force, which is li...

    Text Solution

    |

  7. A uniform square plate ABCD has mass M side length a. It is sliding o...

    Text Solution

    |

  8. A uniform ring of mass 'm' and radius 'R' is projected horizontally wi...

    Text Solution

    |

  9. The uniform cubical slab of side 'a' is released from rest in the posi...

    Text Solution

    |

  10. In one dimentional collision between two idential particles 'A' and 'B...

    Text Solution

    |

  11. A ball is suspended from the accelerating car by two cords 'A' and 'B'...

    Text Solution

    |

  12. A point mass m is connected with ideal inextensible string of length l...

    Text Solution

    |

  13. A particle is moving in a striaght line and at a given time, its displ...

    Text Solution

    |

  14. A particle is moving in a circle of radius (2)/( 3) m and mass of the ...

    Text Solution

    |

  15. A rod AB of length l = 1m and mass m = 2kg is pinned to a vertical sha...

    Text Solution

    |

  16. A block can slide along incline plane as shown in figure. The accelera...

    Text Solution

    |

  17. A block of mass 100kg is kept on a horizontal rough surface. A man of ...

    Text Solution

    |

  18. A particle of mass m moves on the x-axis under the influence of a forc...

    Text Solution

    |

  19. A particle of mass m moves from A to C under the action of force vecF ...

    Text Solution

    |

  20. Velocity of particle moving along x-axis is given as v = ( x^(3) - x^(...

    Text Solution

    |