Home
Class 12
PHYSICS
A uniform rod of length L is free to rot...


A uniform rod of length `L` is free to rotate in a vertical plane about a fixed horizontal axis through `B`. The rod begins rotating from rest. The angular velocity `omega` at angle `theta` is given as

A

`sqrt(((6g)/(t)))"sin"(theta)/(2)`

B

`sqrt(((6g)/(l)))"cos"(theta)/(2)`

C

`sqrt(((6g)/(l)))sin theta`

D

`sqrt(((6g)/(l)))cos theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than One Correct Choice Type)|8 Videos

  • ELASTICITY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Linked Comprehension)|6 Videos

  • ELASTICITY

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|1 Videos

  • CURRENT AND RESISTANCE

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|3 Videos

  • ELECTRIC CHARGES AND FIELDS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type )|3 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of legth L is free to rotate in a vertica plane about a fixed horizontal axis through B . The rod begins rotating from rest. The angular velocity omega at angle theta is given as

An L shaped thin uniform rod of total length 2l is free to rotate in a vertical plane about a horizontal axis a P as shown in the figure. The bas is released from rest. Neglect air and contact friction. The angular velociyt at the instant it has rotated through 90^@ and reached the dotted position shown is

A rod is rotating with angular velocity omega about axis AB. Find costheta .

A uniform material rod of length L is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is w. Find increase in length of the rod. It is given that density and Young’s modulus of the rod are r and Y respectively.

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

A long uniform rod of length L, mass M is free to rotate in a horizontal plane about a vertical axis through its end. Two springs of constant K each are connected as shown. On equilibrium, the rod was horizontal. The frequency will be –

A uniform rod of length 4l and mass m is free to rotate about a horizontal axis passing through a point distant l from its one end. When the rod is horizontal its angular velocity is omega as shown in figure. calculate (a). reaction of axis at this instant, (b). Acceleration of centre of mass of the rod at this instant. (c). reaction of axis and acceleration of centre mass of the rod when rod becomes vertical for the first time. (d). minimum value of omega , so that centre of rod can complete circular motion.

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 uniform rod AB of length 2l and mass m is rotating in a horizontal plane about a vertical axis through A, with angular velocity omega , when the mid-point of the rod strikes a fixed nail and is brought immediately to rest. Find the impulse exerted by the nail.

RESNICK AND HALLIDAY-ELASTICITY-PRACTICE QUESTIONS
  1. A cylinder with a diameter of 0.240 m is placed between the plates of ...

    Text Solution

    |

  2. A wire elongates by l mm when a load W is hanged from it. It the wire ...

    Text Solution

    |

  3. A cable stretched by an amount d when it supports a crate of mass M. T...

    Text Solution

    |

  4. A uniform rod of length L is free to rotate in a vertical plane about ...

    Text Solution

    |

  5. A wooden wheel of radius R is made of two semicircular part . The two ...

    Text Solution

    |

  6. A tow truck is pulling a car out of a ditch by means of steel cable th...

    Text Solution

    |

  7. A rubber cube of side 5 cm has one side fixed while a tangential force...

    Text Solution

    |

  8. A steel wire of length 20 cm and cross - section 1 mm^(2) is tied rigi...

    Text Solution

    |

  9. When subjected to a force of compression, the length of a bone decreas...

    Text Solution

    |

  10. A uniform rod of mass m. length L, area of cross- secticn A is rotated...

    Text Solution

    |

  11. Between each pair of vertebrae in the spinal column is a cylindrical d...

    Text Solution

    |

  12. The figure shows two creates that are connected by a steel wire that p...

    Text Solution

    |

  13. The brick shown in the figure is glued to the floor. A 3500 N force is...

    Text Solution

    |

  14. A spring with constant k = 78 N/m is at the base of a frictionless, 30...

    Text Solution

    |

  15. The maximum compressional stress that a bone can withstand is 1.6xx10^...

    Text Solution

    |

  16. The shear modulus of steel is 8.1xx10^(10)N//m^(2). A steel nail of ra...

    Text Solution

    |

  17. A gymnast does a one - arm handstand. The humerus, which is the upper ...

    Text Solution

    |

  18. A solid brass sphere is subjected to a pressure of 1.0xx10^(5) Pa due ...

    Text Solution

    |

  19. A cylindrically shaped piece of collagen (a substance found in the bod...

    Text Solution

    |

  20. One end of a piano wire is wrapped around a cylindrical tuing peg and ...

    Text Solution

    |