$17\mathrm{.}46$ The uniform rods $\backslash ($ A B $\backslash )$ and $\backslash ($ B C $\backslash )$ weigh $2\mathrm{.}4$ kg and $4$ kg $,$ respectively, and the small wheel at $\backslash ($ C $\backslash )$ is of negligible weight. Knowing that in the position shown the velocity of wheel $\backslash ($ C $\backslash )$ is $\backslash (2\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ to the right, determine the velocity of pin $\backslash ($ B $\backslash )$ after rod $\backslash ($ A B $\backslash )$ has rotated through $\backslash (90^\{\backslash$circ$\}\backslash ).$

Fig. P$17\mathrm{.}46$