Problem $16\mathrm{.}124-$ Reaction at one end of a uniform rod fitted with a small wheel

The $4-kg$ uniform rod ABD is attached to the crank $BC$ and is fitted with a small wheel that can roll without friction along a vertical slot. Knowing that at the instant shown crank $BC$ rotates with an angular velocity of $7ra\frac{d}{s}$ clockwise and an angular acceleration of $15ra\frac{d}{s^2}$ counterclockwise, determine the reaction at $A.$

The reaction at $A$ is $$ Nlarr