For the crank$-$slider shown, using Loop Closure method, analytically determine the position, and velocity of point $P$ with respect to the crank pin as the crank rotates a full $360.$ Note ${}_2=0\mathrm{.}1ra\frac{d}{s}.$ Using MatLab, subplot: Row $1-$ the path of point $P$ in space, Row $2-$ the magnitude of the velocity of P as a function of ${}_2.$ Note we solved for the analytical equation of the position in class!

$R_{CA}=40mm,R_{\frac{B}{A}}=20mm,R_{PB}=65mm$