explain how to do this problem. Problem $1(25$ pts$)$

The slotted arm moves along the horizontal guide at its

bottom with constant speed $v_a$ to the right. The pin $P$ in

the slotted arm is constrained to move in the logarithmic

slot with the arm. The equation of the slot is $y=lnx.$

When the pin is at $C$ and $x=\sqrt[\phantom{2}]{3},$ determine the

$($a$)$ velocity of $P$ as a function of $v_a,$

$($b$)$ acceleration of $P$ as a function of $v_a,$

$($c$)$ angle in degrees the velocity vector makes with re$-$

spect to the $x$ axis,

$($d$)$ normal and tangential components of the accelera$-$

tion of $P$ as functions of $v_a,$

$($e$)$ radius of curvature of the path of the pin.

Express the velocity and acceleration in the given Cartesian frame.