PLEASE HELP ME FIGURING OUT THE PROCESS FOR THE CORRECT ANSWER.

A small ball having weight $P$ is suspended by two cables $AB$ and $AC$ in a vertical

plane. Then cable $AB$ is cut and the ball begins to swing. Neglecting the size of

the ball, determine the force in cable AC just AFTER being cut. ${}_o=-32$deg and

$m=2kg$

Note that in the figure ${}_o<mn>0</mn>$ since it is clockwise from the vertical reference.

Give the answer in $x.N$ format

$16\mathrm{.}6$ margin of error $\frac{+}{-}0\mathrm{.}1$

Make sure you draw your free$-$body diagram with positive deflection and

without tension AB$.$ Now the mass has acceleration; it would be best to

use normal$-$tangential coordinates$/$acceleration for this problem since the

mass moves in a circular path relative to C $.$ Solve for the acceleration as a

function of theta. Integrate using ${}^{}={}^{}\frac{d({}^{})}{d}$ to yield ${}^{}{?}^2=f().$ Plug this

expression into the expression for the tension in AC ; This is the general

expression for the tension in AC for any angle. Now just plug in the initial

angle for this answer.