Home
Class 11
PHYSICS
A linear impulse int Fdt acts at a point...

A linear impulse `int Fdt` acts at a point `C` of the smooth rod `AB`. The value of `x` is so that the end `A` remains stationary just after the impact is

A

`l/4`

B

`l/3`

C

`l/6`

D

`l/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `J` be the impulse acting on the rod `J=mmv_(cm), Jx=1/12 ml^(2) omega`. Since the end `A` is stationary `V_(A)=V_(cm)-1/2 omega=J/m-((12 Jx)/(ml^(2)))l/2=0`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-V|72 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

Similar Questions

Explore conceptually related problems

A uniform rod AB of length L and mass M is lying on a smooth table. A small particle if mass m strike the rod with velocity v_(0) at point C at a distance comes to rest after collision. Then find the value of x , so that point A of the rod remains stationary just after collision. .

A particle at rest is constrained to move on a smooth horizontal surface. Another identical particle hits the stationary particle with a velocity v at an angle theta=60^(@) with horizontal. If the particles move together, the velocity of the combination just after the impact is equal to

On a smooth horizontal plane, a rod PQ of length 6m and mass 2 kg is placed. The centre of the rod is placed at the origin of the coordinate axes. An impulse of 4N -S is applied at P perependicular to the length of the rod. Find the distance of a point form centre of the rod which is at rest after the impact (in metres)

A homogenous rod of length l=etax and mass M is lying on a smooth horizontal floor. A bullet of mass m hits the rod at a distance x from the middle of the rod at a velocity v_(0) perpendicular to the rod and comes to rest after collision. If the velocity of the farther end of the rod just after the impact is in the opposite direction of v_(0) , then:

A collar B of mass m is at rest and when it is in the position shown, the spring is unstretched. If another collar A of mass (m)/(n) strikes it so that B slides a distance 4m on the smooth rod before momentarily stopping, determine the velocity of A just after the impact. The coefficient of restitution is e . The spring constant is k .

A rod lying on a frictionless horizontal surface is initially given an anglular velocity omega about vertical axis which passes through center of mass. The centre of mass is at rest but not fixed. The length of the rod is L. Subsequently, end A of the rod collides with nail P, which is near to A such that end A becomes stationery immediately after impact. Velocity of end B just after collision will be

A uniform rod of length l and mass 2m rests on a smooth horizontal table. A point mass m moving horizontally at right angles to the rod with initial velocity v collides with one end of the rod and sticks to it. Determine the position of the point on the rod which remains stationary immediately after collision.

NARAYNA-SYSTEM OF PARTICLES-Level-VI
  1. Four beads each of mass m are glued at the top, bottom and the ends of...

    Text Solution

    |

  2. A rolling body is connected with a trolley car by a spring of stiffne...

    Text Solution

    |

  3. A linear impulse int Fdt acts at a point C of the smooth rod AB. The v...

    Text Solution

    |

  4. Two light vertical springs with equal natural length and spring consta...

    Text Solution

    |

  5. Ler l be the moment of inertia of a uniform square plate about an axi...

    Text Solution

    |

  6. Two point masses A of mass M and B of mass of 4M are fixed at the ends...

    Text Solution

    |

  7. A conical pendulum consists of a mass M suspended from a string of len...

    Text Solution

    |

  8. A ring of mass m and radius R is rolling down on a rough inclined plan...

    Text Solution

    |

  9. A ring of mass M and radius R lies in x-y plane with its centre at ori...

    Text Solution

    |

  10. As shown in figure, the hinges A and B hold a uniform 400N door in pla...

    Text Solution

    |

  11. Find minimum height of the obstacle so that the shpere can stay in equ...

    Text Solution

    |

  12. In the figure shown, suppose the compound pulley and the disc have the...

    Text Solution

    |

  13. Two identical rings A and B are acted upon by torques tau(A) and tau(B...

    Text Solution

    |

  14. A uniform solid sphere of radius r is rolling on a smooth horizontal s...

    Text Solution

    |

  15. Angular acceleration of the cylinder C shows in the figure is (all str...

    Text Solution

    |

  16. A particle of mass m is released from rest at point A in the figure fa...

    Text Solution

    |

  17. The end B of the rod AB which makes angle theta with the floor is bein...

    Text Solution

    |

  18. A block having equilateral triangular cross-section of side a and mass...

    Text Solution

    |

  19. A thin horizontal uniform rod AB of mass m and length l can rotate fre...

    Text Solution

    |

  20. A block mass m moves on a horizontal circle against the wall of a cyli...

    Text Solution

    |