Home
Class 12
PHYSICS
A rod of length l and radius r is joined...

A rod of length `l` and radius `r` is joined to a rod of length `l//2` and radius `r//2` of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of `theta^(@)`, the twist angle at the joint will be

A

`(theta)/(4)`

B

`(theta)/(2)`

C

`(5theta)/(6)`

D

`(8theta)/(9)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-D)|12 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-B)|24 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE|Exercise SECTION - J|9 Videos
  • Mock test 03

    AAKASH INSTITUTE|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

In case of a rod of length l and radius r fixed at one end, angle of share phi is related to angle of twiest theta by the relation, theta = ……….

Find radius of gyration of a rod of length l and mass m about an axis perpendicular its length through one end.

Two ends of rods of length L and radius R of the same material of kept at the same temperature. Which of the following rods conducts the maximum heat?

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?

A large cylindrical rod of length L is made by joining two identical rods of copper and steel of length ((L)/(2)) each. The rods are completely insulated from the surroundings. If the free end of copper rod is maintained at 100^(@)C and that of steel at 0^(@)C then the temperature of junction is (Thermal conductivity of copper is 9 times that of steel)

In the given figure, a rod is free at one end and other end is fixed. When we change the temperature of rod by Deltatheta , then strain produced in the rod will be

A 2m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians the shear strain developed will be

Two rods of different materials and identical cross sectional area, are joined face to face at one end their free ends are fixed to the rigid walls. If the temperature of the surroundings is increased by 30^(@)C , the magnitude of the displacement of the joint of the rod is (length of rods l_(1) = l_(2) = 1 unit , ratio of their young's moduli, Y_(1)//Y_(2) = 2 , coefficients of linear expansion are alpha_(1) and alpha_(2) )

A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radius. The shear strain developed will be

Two wires A and B of same length and of the same material have the respective radii r_(1) and r_(2) . Their one end is fixed with a rigid support, and at other end equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be

AAKASH INSTITUTE-MECHANICAL PROPERTIES OF SOLIDS-Assignment(Section-C)
  1. Which of the following relations is true?

    Text Solution

    |

  2. A 5 m long aluminium wire (Y=7xx10^10(N)/(m^2)) of diameter 3 mm suppr...

    Text Solution

    |

  3. Two steel wires of the same radius have their lengths in the ratio of ...

    Text Solution

    |

  4. A steal wire of cross-section area 3xx10^(-6) m^(2) can withstand a m...

    Text Solution

    |

  5. The bulk modulus for an incompresssible liquid is

    Text Solution

    |

  6. A copper rod length L and radius r is suspended from the ceiling by on...

    Text Solution

    |

  7. Which of the folliwing substances has the highest elastictiy

    Text Solution

    |

  8. When a wire of length 10 m is subjected to a force of 100 N along its ...

    Text Solution

    |

  9. Two wire A and B of length l, radius r and length 2l, radius 2r having...

    Text Solution

    |

  10. A cube of side 40 cm has its upper face displaced by 0.1 mm by a tange...

    Text Solution

    |

  11. A rod of length l and radius r is joined to a rod of length l//2 and r...

    Text Solution

    |

  12. The Young's modulus of the meterial of a wire is 2xx10^(10) N m^(-2) I...

    Text Solution

    |

  13. A weight is suspended from a long metal wire. If the wire suddenly bre...

    Text Solution

    |

  14. A wire of natural length l, young's modulus Y and ares of cross-sectio...

    Text Solution

    |

  15. When a force is applied on a wire of uniform cross-sectional area 3xx1...

    Text Solution

    |

  16. If in a wire of Young's moduls Y, longitudinal strain X is produced th...

    Text Solution

    |

  17. A uniform metal rod of 2mm^(2) area of cross section is heated from 0^...

    Text Solution

    |

  18. A material has Poisson's ratio 0.5, If a uniform rod of it suffers a ...

    Text Solution

    |

  19. When the length of a wire is increased by 5%, its radius decreases by ...

    Text Solution

    |

  20. If Young's modulus of elasticity Y for a material is one and half time...

    Text Solution

    |