A $2 \,m$ long rod of radius $1 \,cm$ which is fixed from one end is given a twist of $0.8$ radians. The shear strain developed will be
AIIMS 2019, Medium
Download our app for free and get started
The shear strain generated in the rod given as,
$r \theta=L \phi$
$10^{-2} \times 0.8=2 \times \phi$
$\phi=0.004$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A steel wire of lm long and $1\,m{m^2}$ cross section area is hang from rigid end. When weight of $1\,kg$ is hung from it then change in length will be given ..... $mm$ $(Y = 2 \times {10^{11}}N/{m^2})$View Solution
- 2The length of a rod is $20\, cm$ and area of cross-section $2\,c{m^2}$. The Young's modulus of the material of wire is $1.4 \times {10^{11}}\,N/{m^2}$. If the rod is compressed by $5\, kg-wt$ along its length, then increase in the energy of the rod in joules will beView Solution
- 3The force required to stretch a wire of crosssection $1 cm ^{2}$ to double its length will be ........ $ \times 10^{7}\,N$View Solution
(Given Yong's modulus of the wire $=2 \times 10^{11}\,N / m ^{2}$ )
- 4Compressibility per unit atm. pressure of water is $'\sigma '$ and if due to pressure $P$ there is decrement in volume $V$, find change is volumeView Solution
- 5In an experiment to determine the Young's modulus, steel wires of five different lengths $(1,2,3,4$ and $5\,m )$ but of same cross section $\left(2\,mm ^{2}\right)$ were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is $x \times 10^{11}\,Nm ^{-2}$, then the value of $x$ isView Solution
- 6The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume $?$ The volume elasticity of the cube is $\beta $ and the coefficient of volume expansion is $\alpha $View Solution
- 7View SolutionIf the length of a wire is made double and radius is halved of its respective values. Then, the Young's modules of the material of the wire will :
- 8An increases in pressure required to decreases the $200\,\,litres$ volume of a liquid by $0.004\%$ in container is ........... $kPa$. (Bulk modulus of the liquid $= 2100\,\,MPa$ )View Solution
- 9Which of the following curve represents the correctly distribution of elongation $(y)$ along heavy rod under its own weight $L \rightarrow$ length of rod, $x \rightarrow$ distance of point from lower end?View Solution
- 10Consider the situation shown in figure. The force $F$ is equal to the $m_2g/2.$ If the area of cross-section of the string is $A$ and its Young's modulus $Y$, find the strain developed in it. The string is light and there is no friction anywhereView Solution
