Practice free Mechanical Properties of Solids (Physics) NEET multiple-choice questions online with instant answers and detailed explanations. No login required.
A material has poisson's ratio 0.50. If uniform rod of it suffers a longitudinal strain of $ 2 \times 10 ^ {-3} $ Then what is percentage change in volume ?
$$ {dv \over v } = ( 1 + 2 \sigma) {dL \over L } $$ $\therefore {dv \over v } = 2 \times 2 \times 10^{-3} = 4 \times 10 ^ {-3} $ $ [ 6 = 0.5 { 1 \over 2 } ] $
There is no change in the volume of a wire due to change in its length on stretching. What is the possion's ratio of the material of the wire....
we know that $ {dv \over v } = (1 - 2 \sigma) { dL \over L } $ $ if \sigma = {1 \over 2 } then { dv \over v } = 0 $ i.e. there is no change in volume
Which statement is true for a metal......
$ Y = 2N ( 1 + \sigma) $
Which of the following relation is true
$ Y = 2n ( 1 + \sigma) \Rightarrow \sigma = { 0.5 y - n \over n } $
Two wires A& B of same lengt hand of the same material have the respective radius r, & $r_2$ their one end is fixed with a rigid support and at the other end equal twisting couple is applied. Then what will we be the ratio of the angle of twist at the end of Aand the angle of twist at the end of B
Twisting couple C = $ { \pi n r^4 \over 2l } \theta $ If material and length of the wires Aand B equal twisting coulple are applied then $ \theta \alpha {1 \over r^4 } $ $ \therefore { \theta_1 \over \theta_2 } = \left( {r_2 \over r_1} \right)^4 $
The poisson's ratio can not have the value
Value of possion's ratio die in range of 1 to 1/2.
The value of poisson's ratio lies between........
$ y = 3k (1-2 \sigma); y = 2n (1 + \sigma) $ $ For Y=0 we get 1 -2 \sigma = 0 also 1 + \sigma = 0 $ $ \Rightarrow \sigma lies between $
If the young's modulus of the material is 3 times its modulus of rigidity. Then what will be its volume elasticity ?
$ y = 2n ( 1 + \sigma) \rightarrow 3n = 2n ( 1 + \sigma) \Rightarrow \sigma = {3 \over 2 } -1 = {1 \over 2 } $ Now, substituting the value of $ \sigma $ in the following expression $ \Rightarrow k = { y \over 3 ( 1 - 2 \sigma) }= \infty $
For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisson's ratio ?
$ Y = 2n ( 1 + \sigma ) $
The lower surface of a cube is fixed. On its upper surface is applied at an angle of $ 30 ^\circ $ from its surface. What will be the change of the type ?
There will be both shear stress and normal stress.
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