Question $1$

Frame $B$ moves to the right from a rest position on the horizontal surface at a constant acceleration of $a_B=4\frac{m}{s^2}$ as shown in Figure Q$1.$ At the same time, collar $A$ is sliding down the shaft at a constant rate of $5\frac{m}{s}$ relative to frame $B.$

Figure Q$1($REFER FIGURE $1$ TO ANSWER THE QUESTION BELOW$)$

a$)$ With the aids of diagrams, express the kinematic relationships between collar A and frame $B$ for velocity and acceleration. $[$CO$1/$PO$1/$C$2/$WK$2/$WK$3/$WP$2]$

$(3$ marks$)$

b$)$ Knowing that $=ta{n}^{-1}(\frac{3}{4}),$ determine the velocity and acceleration of collar A after frame $B$ has moved $2$ m $.[$CO$2/$PO$2/$C$4/$WK$2/$WK$3/$WP$2]$

$(5$ marks$)$

c$)$ Evaluate the kinematic of the collar if the frame moves at a constant velocity, $v_B$ on curved surface having a constant radius of curvature, $.[$CO$3/$PO$3/$C$6/$WK$5/$WP$3]$

$(2$ marks$)$