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प्रश्न
State Hooke’s law. Define the elastic limit and modulus of elasticity.
उत्तर
Hooke’s law: Provided the elastic limit is not exceeded, the deformation of a material is proportional to the force applied to it.
`=> "stress"/"strain" = "k"`
k is known as modulus of elasticity.
Elastic limit: The maximum stress within which the body regains its original size and shape after removing of deforming force is called elastic limit.
Modulus of Elasticity: The modulus of elasticity or coefficient of elasticity of the body is defined as the ratio of stress to the corresponding strain within the elastic limit.
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संबंधित प्रश्न
The buckling of a beam is found to be more if ___ .
(a) the breadth of the beam is large.
(b) the beam material has large value of Young's -modulus.
(c) the length of the beam is small.
(d) the depth of the beam is small.·
A mass M attached to a spring oscillates with a period of 2 seconds. If the mass is increased by 2 Kg, the eriod increases by 1 second. Find the initial mass, assuming that Hooke's law is obeyed.
Young’s modulus of material of wire is ‘Y’ and strain energy per unit volume is ‘E’, then the strain is
(A) `sqrtY/(2E)`
(B) `sqrt(E/Y)`
(C) `sqrt((2E)/Y)`
(D) `sqrt(2EY)`
A piece of copper having a rectangular cross-section of 15.2 mm × 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting strain?
Answer in one sentence.
State the condition under which Hooke’s law holds good.
Long answer type question.
State Hooke’s law.
If the temperature increases, the modulus of elasticity.
