Class 11PhysicsMechanical Properties of SolidsBasic of Elasticity, Stress and Strain relationship and Graphical analysis
MediumWrite the limitation of Hooke's law.
(N/A) Hooke's law states that stress is directly proportional to strain within the elastic limit. The limitation of this law is that it is only valid for small deformations where the material remains within its elastic limit. If the stress exceeds the elastic limit,the material undergoes permanent deformation (plastic deformation) and the linear relationship between stress and strain no longer holds.
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$A$ metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $14\,mm$. The tensile stress developed in the wire under equilibrium state is $7 \times 10^5\,N m^{-2}$. The value of mass $m$ is $......kg$.
(Take,$g = 9.8\,m s^{-2}$ and $\pi = \frac{22}{7}$)
(Take,$g = 9.8\,m s^{-2}$ and $\pi = \frac{22}{7}$)
$A$ steel cable with a radius of $1.5 \; cm$ supports a chairlift at a ski area. If the maximum stress is not to exceed $10^{8} \; N m^{-2}$,what is the maximum load the cable can support?
Easy
View SolutionCheck if the following statements are True or False:
$(a)$ Shear modulus of liquid is infinite.
$(b)$ For a given load (external force),steel is more deformed than rubber.
$(c)$ When a solid body is beaten,rolled,heated,or cooled,its elastic properties are affected.
$(a)$ Shear modulus of liquid is infinite.
$(b)$ For a given load (external force),steel is more deformed than rubber.
$(c)$ When a solid body is beaten,rolled,heated,or cooled,its elastic properties are affected.
Medium
View SolutionMatch the physical quantities in Column-$I$ with the details given in Column-$II$ appropriately:
Column-$I$ Column-$II$ $(a)$ $\text{Stress} \propto \text{Strain}$ $(i)$ $M^1 L^{-1} T^{-2}$ $(b)$ $\text{Dimensional formula for compressibility}$ $(ii)$ $M^{-1} L^1 T^2$ $(iii)$ $\text{Poisson's ratio}$ $(iv)$ $\text{Hooke's law}$
| Column-$I$ | Column-$II$ |
|---|---|
| $(a)$ $\text{Stress} \propto \text{Strain}$ | $(i)$ $M^1 L^{-1} T^{-2}$ |
| $(b)$ $\text{Dimensional formula for compressibility}$ | $(ii)$ $M^{-1} L^1 T^2$ |
| $(iii)$ $\text{Poisson's ratio}$ | |
| $(iv)$ $\text{Hooke's law}$ |
Easy
View SolutionTwo equal and opposite forces each $F$ act on a rod of uniform cross-sectional area $a$ as shown in the figure. The shearing stress on the section $AB$ will be
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