Embibe Experts Solutions for Chapter: Elasticity, Exercise 1: Exercise 1

One end of a slack wire (Young's modulus $Y$, length $L$ and cross-sectional area $A$) is clamped to a rigid wall and the other end to a block (mass $m$ ) which rests on a smooth horizontal plane. The block is se in motion with a speed $v$. What is the maximum distance the block will travel after the wire becomes taut?

The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of ${30}^{\circ }$ from its surface. The change will be in

An elastic spring has a force constant $k$. It is cut into three equal parts. The force constant of each part is

A steel wire of cross-sectional area $3\times {10}^{-6} {\mathrm{m}}^2$ can withstand a maximum strain of ${10}^{-3}$. Young's modulus of steel is $2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$. The maximum mass this wire can hold is,

The Young's modulus of material of wire $1$ is twice that of wire $2.$ When the wires $1$ and $2$ of same length are stretched by same force, they produce same extension. If $R_1$ and $R_2$ are the radii of wires $1$ and $2$ respectively, then

Which of the following statement related to stress-strain relation is correct?

A wire breaks when subjected to a stress $S$. If $\rho$ is the density of the material of the wire, then the length of the wire so that it breaks by its own weight is

A fixed volume of iron is drawn into a wire of length $‘L’$. The extension $‘x’$ produced in the wire by a constant force $‘F’$ is proportional to _____.