Embibe Experts Solutions for Exercise 4: Assignment

A rigid bar of mass $15 \mathrm{kg}$ is supported symmetrically by three wire each of $2 \mathrm{m}$ long. These at each end are of copper and middle one is of steel. Young's modulus of elasticity for copper and steel are $110\times {10}^9 \mathrm{N} {\mathrm{m}}^{-2}$ and $190\times {10}^9 \mathrm{N} {\mathrm{m}}^{-2}$ respectively. If each wire is to have same tension, ratio of their diameters will be

The strain energy stored in a body of volume $V$ due to shear strain $\varphi$ is (shear modulus is $G$)

A metal wire having Poisson's ratio $\frac{1}{4}$ and Young's modulus $8\times {10}^{10} \mathrm{N} {\mathrm{m}}^{-2}$ is stretched by a force, which produces a lateral strain of $0.02\%$ in it. The elastic potential energy stored per unit volume in wire is $\left[\text{in }\mathrm{J} {\mathrm{m}}^{-3}\right]$

Which of the following curve represents the correctly distribution of elongation $\left(y\right)$ along heavy rod under its own weight $L\to$ length of rod, $x\to$ distance of point from lower end?

A wire can sustain a weight of $15 \mathrm{kg}$. If it cut into four equal parts, then each part can sustain a weight

The normal density of gold is $\rho$ and its modulus is $B.$ The increase in density of piece of gold when pressure $P$ is applied uniformly from all sides

A uniform wire of length $L$ and radius $r$ is twisted by an angle $\alpha$. If the modulus of rigidity of the wire is $\eta$, then the elastic potential energy stored in the wire, is

If $\delta$ is the depression produced in a beam of length $L$, breadth $b$ and thickness $d$, when a load is placed at the mid point, then