Home
Class 11
PHYSICS
Two identical unifrom rods OA and OB eac...

Two identical unifrom rods `OA` and `OB` each of length `l` and mass `m` are connected to each other by a massless pin connection (both the rods can rotate about `O` which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass `m` moving with speed `u` perpendicular to the `AB` and hit the assembly inelastically at points `A` and `B` as shown in the figure.

The speed of the centre of mass of the whole assembly just after the collision will be

A

`u//4`

B

`u//2`

C

`u`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    FIITJEE|Exercise Example|12 Videos

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Example|15 Videos

Similar Questions

Explore conceptually related problems

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. Find the angular speed of rods just after the collision

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. Find the speed of centre of rod AO just after the collision.

Two identical rods each of mass m and length are connected as shown. Locate c.m.

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

Two small balls A and B, each of mass m, are joined rigidly at the ends of a light rof of length L. they are placed on a frictionless horizontal surface another ball of mass 2 m moving with speed u towards one of the ball and perpendicular to the length of the rod on the horizontal frictionless surface as shown int he figure. if the coefficient of restitution is 1/2 then the angular speed of the rod after the collision will be

Two identical uniform rods AB and CD, each of length L are jointed to form a T-shaped frame as shown in figure. Locate the centre of mass of the frame. The centre of mass of a uniform rod is at the middle point of the rod.

Two particles of mass 2m and m moving with speed v and 2v respectively pependicular to each other collides perfectly inelastically, then Find the angle with the horizontal to which the particles move after collision.

A block of mass m is tied to a string of length L and the assembly is kept on a smooth horizontal table as shown in the figure. Now the other end of the string is moved with a constant velocity v_(0)hatj . ( xy plane is the plane of the table) Then

A ball of mass m moving with a speed u_(0) collides elastically with a rod of mass M suspended in the vertical plane by the hinge O. The rod is free to rotate in the vertical plane. Before and after the collision.

The ends of a rod of length l and mass m are attached to two identical springs as shown in the figure. The rod is free to rotate about its centre O . The rod is depressed slightly at end A and released . The time period of the oscillation is

FIITJEE-ROTATIONAL MECHANICS-Example
  1. In the figure shown, a solid sphere of mass 'm' and radius r is releas...

    Text Solution

    |

  2. A cube of side a and mass M is pivoted on a horizontal axis such that ...

    Text Solution

    |

  3. A spool of thread of mass m and moment of inertia I is attached to the...

    Text Solution

    |

  4. A sphere of radius R is projected with a reverse spin omega(0) down a ...

    Text Solution

    |

  5. A plank of mass M is moving on a smooth horizontal surface with speed ...

    Text Solution

    |

  6. A solid sphere is rolling on a rough surface, whose centre of mass is ...

    Text Solution

    |

  7. When a body rolls without sliding up an inclined plane the frictional ...

    Text Solution

    |

  8. A particle m starts with zero velocity along a line y=4d. The position...

    Text Solution

    |

  9. A sphere of radius R and mass M collides elastically with a cubical bl...

    Text Solution

    |

  10. A body of mass m and radius r is released from rest along a smooth inc...

    Text Solution

    |

  11. Let I be the moment of inertia of a uniform square plate about an axis...

    Text Solution

    |

  12. When a car negotiates a curve, the normal force exerted on the inner a...

    Text Solution

    |

  13. A massless string is wrapped around a hollow cylinder having mass m an...

    Text Solution

    |

  14. A cubical box of side length L rests on a rough horizontal surface hav...

    Text Solution

    |

  15. Two identical unifrom rods OA and OB each of length l and mass m are c...

    Text Solution

    |

  16. Two identical unifrom rods OA and OB each of length l and mass m are c...

    Text Solution

    |

  17. Two identical unifrom rods OA and OB each of length l and mass m are c...

    Text Solution

    |