Problem$-6$:

F$16-22.$ At the instant shown, cable $AB$ has a velocity of $3\frac{m}{s}$ and acceleration of $1\mathrm{.}5\frac{m}{s^2},$ while the gear rack has a velocity of $1\mathrm{.}5\frac{m}{s}$ and acceleration of $0\mathrm{.}75\frac{m}{s^2}.$ Determine the angular acceleration of the gear at this instant.

$a_B=1\mathrm{.}5\frac{m}{s^2}$

$v_B=3\frac{m}{s}$

Prob. F$16-22$