$A$ $2 \,m$ 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

The cross-sectional areas of steel and brass wires are $0.1 \,cm^2$ and $0.2 \,cm^2$ respectively. If the same stress is produced in both by a weight $W$,what is the ratio of the tensions $T_1/T_2$?

$A$ steel wire having a radius of $2.0 \, mm$, carrying a load of $4 \, kg$, is hanging from a ceiling. Given that $g = 3.1\pi \, m/s^2$, what will be the tensile stress that would be developed in the wire?

$A$ 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?

The load versus elongation graphs for four wires of same length and made of the same material are shown in the figure. The thinnest wire is represented by the line

The elastic limit of brass is $379\,MPa$. What should be the minimum diameter (in $mm$) of a brass rod if it is to support a $400\,N$ load without exceeding its elastic limit?