Question$-4$:

For an inline slider$-$crank mechanism, the length of the crank and connecting rod are $8$ m and $7$ m $,$ respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is $\backslash (1\mathrm{.}25\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ and $\backslash (15\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ),$ determine the magnitude of angular velocities of the crank.