Home
Class 11
PHYSICS
A piece of copper having a rectangular c...

A piece of copper having a rectangular cross section of `15.2 xx 19.1 mm` is pulled in tension with 45,500N, force producing only elastic deformation. Calculate the resulting strain. Shear modulus of elasticity of copper is `42 xx 10^(9)Nm^(-2)`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow these instructions: ### Step 1: Convert dimensions to meters The dimensions of the rectangular cross-section are given in millimeters. We need to convert them to meters. - Length (L) = 15.2 mm = \( 15.2 \times 10^{-3} \) m - Breadth (B) = 19.1 mm = \( 19.1 \times 10^{-3} \) m ...
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT ENGLISH|Exercise EXERCISE|21 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT ENGLISH|Exercise EXERCISE|31 Videos
  • MOTION IN A PLANE

    NCERT ENGLISH|Exercise EXERCISE|32 Videos

Similar Questions

Explore conceptually related problems

How much should the pressure on a litre of water be changed to compress it by 0.10%? Bulk modulus of elasticity of water = 2.2 xx 10^(9) Nm^(-2) .

Find the volume density of the elastic deformation energy in fresh water at a depth of h = 1 m. (Bulk modulus of water = 2 xx 10^(9) N//m^(2) )

A steel wire and copper wire of the same diameter and of length 1m and 2m respectively are connected end to end and a force is applied. The increase in length of the combination is 0.01m.Calculate the elongation produced in the individual wires. Given that Y of copper is 12 xx 10^(10) Nm^(2) and that of steel is 20 xx 10^(10) N m^(-2) .

A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length. Calculate (a) stress, (b) elongation, and ( c ) strain on the rod. Young's modulus, of structural steel is 2.0 xx 10^(11) N "m"^(-2) .

A rigid bar of mass 15 kg is supported symmetrically by three wires each 2 m long. Those at each end are of copper and middle one is of iron. Determine the ratio of their diameters if each is to have the same tension. Young's modulus of elasticity for copper and steel are 110 xx 10^(9)Nm^(-2) and 190 xx 10^(9)Nm^(-2) respectively.

A tangential force equal to the weight of 500kg is applied to the opposite face of a cube of aluminium of side 10cm has its one face fixed. Find the shearing strain produced. Rigidity modulus of aluminium is 2.5 xx 10^(10 ) Nm^(-2)

A copper wire has a resistance of 10 Omega and an area of cross-section 1 mm^(2) . A potential difference of 10 V exists across the wire. Calculate the drift speed of electrons if the number of electrons per cubic metre in copper is 8xx10^(28) electrons.

A copper bar of length L and area of cross section A is placed in a chamber at atmospheric pressure. If the chamber is evacuated, the percentage change in its volume will be (compressibility of copper is 8 xx 10^(-12) m^(2)//N and 1 atm = 10^(5) N//m^(2))

A rubber cube of side 5 cm has one side fixed while a tangential force equal to 1800 N is applied to opposite face. Find the shearing strain and the lateral displacement of the strained face. Modulus of rigidity for rubber is 2.4 xx 10^(6) N//m^(2) .

A copper bar of length L and area of cross section A is placed in a chamber at atmospheric pressure. If the chamber is evacuated, the percentage change in its volume will be (compressibility of copper is 8 xx 10^(-12) m^(2)//N and 1 atm = 10^(5) N//m)

NCERT ENGLISH-MECHANICAL PROPERTIES OF SOLIDS-EXERCISE
  1. Fig., shows the stress-strain curve for a given materal. What are (a) ...

    Text Solution

    |

  2. The stress versus strain graph for two materials A and B are shown in ...

    Text Solution

    |

  3. Read each of the statement below carefully and state, with reasons, if...

    Text Solution

    |

  4. Two wires of diameter 0.25 cm, one made of steel and the other made of...

    Text Solution

    |

  5. The edges of an aluminum cube are 10 cm long. One face of the cube is ...

    Text Solution

    |

  6. Four identical hollow cylindrical columns, support a ig structure of ...

    Text Solution

    |

  7. A piece of copper having a rectangular cross section of 15.2 xx 19.1 m...

    Text Solution

    |

  8. A steel cable with a radius of 1.5 cm support a chairlift at a ski are...

    Text Solution

    |

  9. A rigid bar of mass 15 kg is supported symmetrically by three wires ea...

    Text Solution

    |

  10. A 14.5 kg mass, fastened to the end of a steel wire of unstretched len...

    Text Solution

    |

  11. Compute the bulk modulus of water from the following data : initial vo...

    Text Solution

    |

  12. What is the density of ocean water at a depth, where the pressure is 8...

    Text Solution

    |

  13. Compute the fractional change in volume of a glass slab, when subjecte...

    Text Solution

    |

  14. Determine the volume contraction of a solid copper cube, 10 cm on an e...

    Text Solution

    |

  15. How much should the pressure on a litre of water be changed to compres...

    Text Solution

    |

  16. Anvils made of single crystal of diamond , with shape as shown in fig....

    Text Solution

    |

  17. A rod of length 1.05 m having negliaible mass is supported at its ends...

    Text Solution

    |

  18. A mild steel wire of length 1.0 m and cross-sectional are 0.5 xx 10^(-...

    Text Solution

    |

  19. Two strips of metal are riveted together at their ends by four rivets,...

    Text Solution

    |

  20. The marina Trench is located in the pacific ocean, and at one place it...

    Text Solution

    |