Home
Class 12
PHYSICS
Rod of m and length l is free to rotate ...

Rod of m and length l is free to rotate about point U in vertical plane. A particle having same mass m moving horizontally with velocity `v_(0)` his the rod perpendicular at distance `(l)/(4)` from the top end 'O' and stops. Find impulse due to hinge on the rod due to collision.

A

`(mv_(0))/(19)`

B

`(-10mv_(0))/(19)`

C

`mv_(0)`

D

`(5mv_(0))/(8)`

Text Solution

Verified by Experts

`mv_(0)xx(l)/(4)=(ml^(2))/(3)omega`
implse `=mv_(0)-m(3v_(0))/(4l)xx(l)/(2)`
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 of mass M and length L lies on a frictionless horizontal plane. A particle of same mass M moving with speed v_(0) perpendicular to the length of the rod strikes the end of the rod and sticks to it. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + particle) system.

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

A uniform rod of mass 3 m and length l is lying on a smooth horizontal surface. Two particle of mass m and 2 m moving with speed 2v_(0) and v_(0) in the opposite directly hit the rod perpendicularly at a distance (l)/(3) and (l)/(6) from the midpoint O of the rod ad stick to it after collision. if the loss in kinetic energy of the system due to collision is (n)/(5)mv_(0)^(2) find the value of n.

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the rod with respect to C before the collision

A uniform rod of mass m and length l can rotate freely on a smooth horizontal plane about a vertical axis hinged at point H. A point mass having same mass m coming with an initial speed u perpendicular to the rod, strikes the rod and sticks to it at a distance of (3l)/4 from hinge point. Theangular velocity of the rod just after collision is (36u)/(nl) . Find the value of n.

A rod of mass m,length l pivoted at its centre is free to rotate in a vertical plane.The rod is at rest and is in vertical position.A bullet of mass m/2 moving horizontally with speed v strikes and sticks to one end of the rod. Angular velocity of system just after collision is

A uniform rod of mass M and length L lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance L//6 from the center and stops after the collision. Find (a) the velocity of center of mass of rod and (b) the angular velocity of the rod about its center just after collision.

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the particle with respect to C before the collision

BANSAL-TEST PAPERS-PHYSICS
  1. A square metal plate with a hole is at temperature theta is present on...

    Text Solution

    |

  2. A block of mass 2kg is travelling due east with velocity of 4m/s. what...

    Text Solution

    |

  3. Rod of m and length l is free to rotate about point U in vertical plan...

    Text Solution

    |

  4. Find force due to hing just after we cut the string.

    Text Solution

    |

  5. Two guns are pointed at each other one upwards at an angle of elevatio...

    Text Solution

    |

  6. A sphere resting in a smooth V sthaped groove and subjected to a sprin...

    Text Solution

    |

  7. Statement-1: A man can not walk by himself on frictionless floor. St...

    Text Solution

    |

  8. Rod AB is placed on smooth horizontal plane and two particle each havi...

    Text Solution

    |

  9. A block of mass m falls from a height h onto the end of a platform as ...

    Text Solution

    |

  10. You accidently bump into a bokcase. It tils briefly but then returns t...

    Text Solution

    |

  11. A cart loaded with sand having total mass m(0)=1800kg moves on a str...

    Text Solution

    |

  12. If equation int (dt)/(sqrt(3a - 2t^(2))) = a^(x) sin ^(-1) ((r^(2))/(a...

    Text Solution

    |

  13. A uniform horizontal rod of length l is dropped from height H above th...

    Text Solution

    |

  14. A bead of mass m is atached to a spring of natural length (3R)/(4) wit...

    Text Solution

    |

  15. A section of fixed smooth circular track of radius R in vertical plane...

    Text Solution

    |

  16. A mass m connected to inextensible string of length l lie on a horizon...

    Text Solution

    |

  17. A meter-scale is made of copper and iron rods as shown in the figure. ...

    Text Solution

    |

  18. A cyclist rides along the circumference of a circular horizontal plane...

    Text Solution

    |

  19. Particles a and b move in opposite direction around a circle with same...

    Text Solution

    |

  20. A ring of mass m having velocity v(0) is placed on a long plank lies o...

    Text Solution

    |