Home
Class 12
PHYSICS
A uniform rod AB of length l and mass...

A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ` (ml^ 2 ) / ( 3 )`, the initial angular acceleration of the rod will be

A

`(3g)/(2l)`

B

`(2g)/(3l)`

C

`g(l)/(2)`

D

`(3)/(2)gl`

Text Solution

Verified by Experts

The correct Answer is:
A

`because t=l alpha therefore (mg)(l)/(2)=((ml^(2))/(3))alpha implies alpha=(3g)/(2l)` .
Promotional Banner

Topper's Solved these Questions

  • NEET-UG DRILL TEST 13

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|44 Videos
  • NEET-UG DRILL TEST 15

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of length L and mass M is free to rotate about a frictionless pivot at one end. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial linear acceleration of the right end of the Rod ?

A uniform rod of length l and mass M pivoted about its end as shown in Fig. and is free to rotate in the vertical plane about the pivot. The rod is released from rest in the horizontal position. (a) What is the initial angular acceleration of the rod? (b) Find the initial acceleration of the right end of the rod? ( c) Find normal contact force due to hinge when rod has rotated through angle theta as shown in Fig.

A unifrom rod of length l and mass m is free to rotate in a vertical plane about A , Fig. The rod initially in horizontal position is released. The initial angular acceleration of the rod is (MI "of rod about" A "is" (ml^(2))/(3))

A unifrom rod of length l and mass m is free to rotate in a vertical plane about A as shown in Fig. The rod initially in horizontal position is released. The initial angular acceleration of the rod is

One fourth length of a uniform rod of length 2l and mass m is place don a horizontal table and the rod is held horizontal. The rod is released from rest. Find the normal reaction on the rod as soon as the rod is released.

A uniform rod AB hinged about a fixed point P is initially vertical. A rod is released from vertical position. When rod is in horizontal position: The acceleration of the centre of mass of the rod is

A uniform rod of length L and mass m is free to rotate about a frictionless pivot at one end as shown in figure. The rod is held at rest in the horizontal position and a coin of mass m is placed at the free end. Now the rod is released The reaction on the coin immediately after the rod starts falling is

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.

A uniform rod AB of length L and and weight Mg is hinged at one end A. The rod is kept in the horizontal position by a massless string. If the string is cut, then the angular acceleration of the rod will be ["M.I. of the rod about A is "(ML^(2))/(3)]

NEET MAJOR TEST (COACHING)-NEET-UG DRILL TEST 14-PHYSICS
  1. When a ceiling fan is switched on, it makes 10 rotations in the first ...

    Text Solution

    |

  2. Let I(1) and I(2) be the moment of inertia of a uniform square plate a...

    Text Solution

    |

  3. A uniform rod AB of length l and mass m is free to rotate abou...

    Text Solution

    |

  4. A mass M moving with a constant velocity parlale to the X-axis. Its an...

    Text Solution

    |

  5. A thin circular ring of mass M and radius R is rotating in a horizonta...

    Text Solution

    |

  6. A flywheel rolls down on an inclined plane. At any instant of time, th...

    Text Solution

    |

  7. A sphere starts rolling down an incline of inclination theta. Find the...

    Text Solution

    |

  8. If angular momentum of a body increased by 200% its kinetic energy wil...

    Text Solution

    |

  9. The motion of planets in the solar system in an example of conservatio...

    Text Solution

    |

  10. A body weighs 72 N on the surface of the earth. What is the gravitatio...

    Text Solution

    |

  11. A body of mass m rises to a height h=R//5 from the earth's surface whe...

    Text Solution

    |

  12. If the radius of a planet is R and its density is rho , the escape vel...

    Text Solution

    |

  13. Speed of earth is maximum at :-

    Text Solution

    |

  14. Which of the following will not show deflection from the path on passi...

    Text Solution

    |

  15. The temperature of a rod of length 1 meter and area of cross-section 1...

    Text Solution

    |

  16. A Soild sphere falls with a terminal velocity of 10 cm/sec in the eart...

    Text Solution

    |

  17. figure shows two holes in a wide tank containing a liquid common. The ...

    Text Solution

    |

  18. If work done in increasing the size of a soap film from 10 cm x 6 cm t...

    Text Solution

    |

  19. A copper ball of radius r travels with a uniform speed v in a viscous ...

    Text Solution

    |

  20. Two unequal soap bubbles are formed one on each side of a tube closed ...

    Text Solution

    |