Home
Class 11
PHYSICS
A box shaped piece of gelatine desert ha...

A box shaped piece of gelatine desert has a top area of 15 `cm^(2)` and a height of 3 cm. when a shearing force of 0.50 N is applied to the upper surface, the upper surface is displaced 4mm relative to the bottom surface. What are the shearing stress, shearing strain and shear modulus for the gelatin ?

Text Solution

Verified by Experts

The correct Answer is:
`333.3 Nm^(-2), 0.133 rad 2506 Nm^(-2)`
Promotional Banner

Topper's Solved these Questions

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos

  • ROTATIONAL MOTION

    SL ARORA|Exercise Problem for self practice|90 Videos

Similar Questions

Explore conceptually related problems

A tangential force of 0.25 N is applied to a 5 cm cube to displace its upper surface with respect to the bottom surface. The shearing stress is

A metallic cube whose each side is 10 cm is subjected to a shearing force of 100 kgf. The top face is displaced through 0.25 cm with respect to the bottom ? Calculate the shearing stress, strain and shear modulus.

A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be

A block of gelatine is 60 mm be 60 mm be 20 mm when unstressed. A force of 0.245 N is applied tangentially to the upper surface, causing a 5 mm displacement relative to the lower surface. Following observations are made regarding the block. (i) the shearing strees develop on surface is 68.1 Pa (ii) the shearing strain develop on surface is 0.25 Pa (iii) the shear modulus of material is 272(N)/(m^2) Regarding above statements we can say:

A 0.05 m cube has its upper face displaced by 0.2 cm by a tangential force of 8N . Calculate the shearing strain, shearing stress and modulus of rigidity of the material of the cube.

A metallic cube of side 10 cm is subjected to a shearing force of 300 kgf. The top force is displaced through 0.25 cm with respect ot the bottom ? Calculate the shearing strain produced .

A steel plate of face area 4 cm2 and thickness 0.5 cm is fixed rigidly at the lower surface. A tangential force of 10 N is applied on the upper surface. Find the lateral displacement of the upper surface with respect to the lower surface. Rigidity modulus of steel =8.4xx10^10Nm^-2 .

The shear modulus for a metal is 50000 Mpa . Suppose that a shear force of 200 N is applied on the upper surface of a cube of this metal that is 3.0 cm on each edge. How far will the top surface be displaced?

On a perfect cube of side 10 cm, a shearing force is applied. If its top surface is displaced through 0.3 mm with bottom surface unmoved, magnitude of shearing force applied will be " " [eta=(100//3)xx10^(6)N//m]

If a shear force of 3000 N is applied on a cube of side 40 cm, then displacement of the top surface of the cube when bottom surface is fixed, is " "(eta=5xx10^(10)N//m^(2))

SL ARORA-PROPERTIES OF SOLIDS-All Questions
  1. A solid ball 300 cm in diameter is submerged in a lake a such a depth ...

    Text Solution

    |

  2. A spherical ball contracts in volume by 0.0098% when subjected to a p...

    Text Solution

    |

  3. What increases in pressure will be needed to decrease the volume of 1....

    Text Solution

    |

  4. Determine the fractional change in volume as the pressure of the atmos...

    Text Solution

    |

  5. Find the density of the metal under a pressure of 20,000 N cm^(-2). Gi...

    Text Solution

    |

  6. Calculate the volume change of a solid copper cube, 40 mm on each edge...

    Text Solution

    |

  7. Find the depth of a lake at which density of water will be 10% higher ...

    Text Solution

    |

  8. The compressibility of water is 4xx10^-5 per unit atmospheric pressure...

    Text Solution

    |

  9. In taking a solid ball of rubber from the surface to the bottom of a ...

    Text Solution

    |

  10. A uniform pressure P is exerted by an external agent on all sides of a...

    Text Solution

    |

  11. A solid sphere of radius R made of a material of bulk modulus K is sur...

    Text Solution

    |

  12. The upper face of a cube of edge 1 m moves through a distance of 1 mm ...

    Text Solution

    |

  13. An Indian rubber cube of side 7 cm has one side fixed, while a tengent...

    Text Solution

    |

  14. A box shaped piece of gelatine desert has a top area of 15 cm^(2) and ...

    Text Solution

    |

  15. The metal cube of side 10 cm is subjected to a shearing stress of 10^(...

    Text Solution

    |

  16. Two parallel and opposite forces, each of magnitude 4000 N, are applie...

    Text Solution

    |

  17. A steel wire of 4.0 m is stretched through 2.0 mm. The cross - section...

    Text Solution

    |

  18. If the Young's modulus of steel is 2xx10^(11) Nm^(-2), calculate the ...

    Text Solution

    |

  19. A wire of area of cross section 3.0mm^2 and natural length 50 cm is fi...

    Text Solution

    |

  20. The limiting stress for a typical human bone is 0.9xx10^(8) Nm^(-2) wh...

    Text Solution

    |