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The Ratio Stress/Strain Remain Constant for Small Deformation of a Metal Wire. When the Deformation is Made Larger, Will this Ratio Increase Or Decrease?

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प्रश्न

The ratio stress/strain remain constant for small deformation of a metal wire. When the deformation is made larger, will this ratio increase or decrease?

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उत्तर

The ratio of stress to strain will decrease. 

Beyond the elastic limit, the body loses its ability to restore completely when subjected to stress. Thus, there occurs more strain for a given stress. At some points, however, the body undergoes strain without the application of stress. So, the ratio of stress to strain decreases. 

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पाठ 14: Some Mechanical Properties of Matter - Short Answers [पृष्ठ २९७]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 14 Some Mechanical Properties of Matter
Short Answers | Q 1 | पृष्ठ २९७

संबंधित प्रश्‍न

Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 ×106 Pa.


A rod of length 1.05 m having negligible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in Figure. The cross-sectional areas of wires A and B are 1.0 mm2 and 2.0 mm2, respectively. At what point along the rod should a mass be suspended in order to produce (a) equal stresses and (b) equal strains in both steel and aluminium wires.

 


The breaking stress of a wire depends on


When a metal wire is stretched by a load, the fractional change in its volume ∆V/V is proportional to


Answer in one sentence.

How should be a force applied on a body to produce shearing stress?


The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will ______.


A spring is stretched by applying a load to its free end. The strain produced in the spring is ______.


A mild steel wire of length 2L and cross-sectional area A is stretched, well within elastic limit, horizontally between two pillars (Figure). A mass m is suspended from the mid point of the wire. Strain in the wire is ______.


A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (Figure). It can be done in one of the following three ways;

(a)
(b)
(c)

The tension in the strings will be ______.


A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

  1. Tensile stress at any cross section A of the wire is F/A.
  2. Tensile stress at any cross section is zero.
  3. Tensile stress at any cross section A of the wire is 2F/A.
  4. Tension at any cross section A of the wire is F.

A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (Figure). The cross-sectional areas of wires A and B are 1.0 mm2 and 2.0 mm2, respectively.

(YAl = 70 × 109 Nm−2 and Ysteel = 200 × 109 Nm–2)

  1. Mass m should be suspended close to wire A to have equal stresses in both the wires.
  2. Mass m should be suspended close to B to have equal stresses in both the wires.
  3. Mass m should be suspended at the middle of the wires to have equal stresses in both the wires.
  4. Mass m should be suspended close to wire A to have equal strain in both wires.

Consider a long steel bar under a tensile stress due to forces F acting at the edges along the length of the bar (Figure). Consider a plane making an angle θ with the length. What are the tensile and shearing stresses on this plane

  1. For what angle is the tensile stress a maximum?
  2. For what angle is the shearing stress a maximum?

The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and T2 are l1 and l2 respectively. The actual length of the metal wire is ______.


The stress-strain graph of a material is shown in the figure. The region in which the material is elastic is ______.

 


Strain is defined as the ratio of ______.


What are the dimensions of stress?


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