QUESTION $3$

Two homogeneous rod $AB$ and $CD$ of mass $3k\frac{g}{m}$ are welded together and supported by pin joint at $A$ as shown in the Figure Q$3.$ At the instant shown the rigid body is moving with angular velocity of $2\mathrm{.}5ra\frac{d}{s}$ counterclockwise. Determine:

ans: $44\mathrm{.}732$ ra

a$)$ Angular acceleration of the rigid body, ${}_{\text{A}\text{B}\text{C}\text{D}}$

b$)$ Components of reaction at $A$

ans: $Ax=3\mathrm{.}6886N$ to left $Ay=7\mathrm{.}9123N$ upwards $10$ marks