Practice free Mechanical Properties of Solids (Physics) NEET multiple-choice questions online with instant answers and detailed explanations. No login required.
The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of $ 30 ^\circ $ . Then what is the angle of shear ?
Angle of shear $ \phi = { r \theta \over L } = { 4 \times 10^{-1} \over 100 \times 30' } = 0.12 ' $
A 2mlong rod of radius 1 cm which is fixed from one end is gien a twist of 0.8 radians. What will be the shear strain developed ?
$ r \theta = L \phi 10^{-2} \times 0.8 = 2 \times \phi = 0.004$
Shearing stress causes change in
$ Y = 3K (1 -2 \sigma ) and Y = 2n ( 1 + \sigma) $ $ Eliminating \sigma we got Y = { 9nk \over n+3k } $
What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity $ \eta $ ?
Poisson's ratio varies between - 1 and 0.5
Assertion and Reason : Read the assertion and reason carefully to mark the correct option out of the option given below Assertion : The bridges are declared unsafe after a long use. Reason : Elastic strength of bridges decrease with
Ivory is more elastic than wet-clay. Hence, the ball of ivory will rise to a greater height. In fact the ball of wet day will not rise at all it will be same, what flattended permanently.
Assertion and Reason : Read the assertion and reason carefully to mark the correct option out of the option given below Assertion : Two identical solid balls, one of ivory and the other of wet clay are dropped from the same height on the floor. Both the balls will rise to same height after. Reason : Ivory and wet-clay have same elasticity.
Young's modulus of a material Y = stress /strain Here, stress force = $ {Restrating \over area }$ force As restoring force is zero. Y = 0
Assertion and Reason : Read the assertion and reason carefully to mark the correct option out of the option given below Assertion : Identical spring of steel and copper are equally stretched more will be done on the steel spring. Reason : Steel is more elastic than copper.
$ = { { Ft \over A} \over { x \over y } } $
A wire is stretched to double the length which of the following is false in this context ?
Which is the dimensional formula for modulus of rigidity ?
The modulus of rigidity, also known as shear modulus, is the measure of an object's ability to resist deformation under shear stress. Its formula is given by the ratio of shear stress to shear strain. The dimensional formula for shear stress is the same as pressure, which is $M^1 L^{-1} T^{-2}$.
Thus, the correct dimensional formula for modulus of rigidity is $M^1 L^{-1} T^{-2}$. Hence, the correct answer is o2.
When more than 20 kg mass is tied to the end of wire it breaks what is maximum mass that can be tied to the end of a wire of same material with half the radius ?
$ Y = { { W \over A} \over { Al \over l} } $
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