A bead A weighing $2\mathrm{.}4$ lb $($W$)$ slides on a quarter$-$circular frictionless bar BC with radius r$.$ The bead is supported by a cable AC$.$

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

An upper left quarter$-$circular frictionless bar BC of radius r is between vertical and horizontal walls. A bead is sliding on the bar.The right upper end of the bar at the vertical wall is labeled C and the lower$-$left end of the bar at the horizontal wall is labeled B$.$ The bead is supported by a cable AC$.$ The bead A with weight W is at angle theta from the horizontal axis.

When $\backslash$theta $=20\backslash$deg $,$ determine the force supported by cable AC$.($Round the final answer to four decimal places.$)$

The force supported by cable AC is

lb$.$