Home
Class 11
PHYSICS
A non uniform cylinder of mass m, length...

A non uniform cylinder of mass `m`, length `l` and radius `r` having its C.O.M at a distance `(l)/(4)` from centre and lying on axis of cylinder . The cylinder is kept in a liquid of uniform density `rho`. The moment of inertia of the rod about C.O.M is I. The angular acceleration of point A relative to point B just after the rod is released from position shown in figure is .

A

`(pi rho gl^2r^2)/I`

B

`(pi rho gl^2r^2)/(4I)`

C

`(pi rho gl^2r^2)/(2I)`

D

`(3pi rho gl^2r^2)/(4I)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advanced MCQ with one or more options correct|18 Videos
  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|86 Videos
  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise MCQ|17 Videos
  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical|94 Videos

Similar Questions

Explore conceptually related problems

A non-uniform cylinder of mass m , length l and radius r is having its centre of mass at a distance l.4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density rho . The moment of inertia of the rod about the centre of mass is l . The angular acceleration of point A relative to point B just after the rod is released from the position as shown in the figure is

What is moment of inertia of a solid cylinder of mass m , length l and radius r about the axis of the cylinder ?

Find the moment of inertia of the rod AB about an axis yy as shown in figure. Mass of the rod is m and length is l.

The mass of the cylinder is 25 kg and radius of cylinder is 5 m. Find the moment of inertia of a solid cylinder about a tangent to the cylinder.

A cylinder of height L, mass M, radius L/sqrt(2) has MOI 1.2 kg m^2 about an axis at a distance of L/2 parallel to axis of cylinder. If length of cylinder is 80cm. Find the density of cylinder.

The moment of inertia of cylinder of radius a, mass M and height h about an axis parallel to the axis of the cylinder and distance b from its centre is :

A particle mass m is attched to a thin uniform rod of length a at a distance of (a)/(4) from the mid-point C as shown in the figure. The mass of the rod is 4m The moment of inertia of the combined system about an axis passing through O and perpendicular to the rod is

PHYSICS GALAXY - ASHISH ARORA-FLUID MECHANICS-Numberical MCQ single
  1. A U-tube of base length l filled with the same volume of two liquids o...

    Text Solution

    |

  2. The velocity of the liquid coming out of a small hole of a vessel cont...

    Text Solution

    |

  3. A non uniform cylinder of mass m, length l and radius r having its C.O...

    Text Solution

    |

  4. An incompressible liquid flows through a horizontal tube as shown in t...

    Text Solution

    |

  5. An unsymmetrical sprinkler the top view of the setup has frictionless...

    Text Solution

    |

  6. The centre of buoyancy of a floating object is :

    Text Solution

    |

  7. A uniform rod OB of length 1m, cross-sectional areal 0.012 m^(2) and r...

    Text Solution

    |

  8. A tube with both ends open floats vertically in water. Oil with a den...

    Text Solution

    |

  9. Following are some statements about buoyant force : (Liquid is of unif...

    Text Solution

    |

  10. An ideal fluid is flowing through the given tubes which is placed on a...

    Text Solution

    |

  11. There is a small hole in the bottom of a fixed container containing a ...

    Text Solution

    |

  12. A fixed container of height H with large cross-sectional area A is com...

    Text Solution

    |

  13. The manometer shown below is used to measure the difference in water l...

    Text Solution

    |

  14. A cylinderical vessel filled with water is released on a fixed incline...

    Text Solution

    |

  15. A copper piece of mass 10 g is suspended by a vertical spring. The spr...

    Text Solution

    |

  16. A vessel contains oil (density =0.8gm//cm^3) over mercury (density =13...

    Text Solution

    |

  17. A block is partially immeresed in a liquid and the vessel is accelerat...

    Text Solution

    |

  18. A cubical block of wood of edge 3 cm floats in water. The lower surfac...

    Text Solution

    |

  19. A large block of ice cuboid of edge length 'l' and density rho(ice) -0...

    Text Solution

    |

  20. For a fluid which is flowing steadily, the level in the vertical tubes...

    Text Solution

    |