URGENT!!!

For the cable supported bor shown, with $W=4$ kips, determine the tension in cable BD and reaction forces ot points C and D following the methods indicated.

a$)$ Using the Free Body Dlogrom

The component of point B in the y direction by similar triongles, $B_y=$ in$.$

The length of coble $BD,L_{BD}=$ in$.$

The unit vector from B to D is ${}_{BD}=1+$

The moment about point $C$ of the weight force $W$ using components is

$M_{CA}=r_{CA}$ cross $1+1)J=$ kip in$.$

The moment of the cable tension applied ot point $D$

$M_{CD}=r_{CD}$ cross $T_{BD}=(0\mathrm{.}0i+(32in)j)({}_{BD})T_{BD}$

$=-(32in)(,)T_{-BD}$

Sum of Moments obout point $C=0=$MCA$**MCD$

Gives $T_{BD}=$ kips

Then the reaction at point $D$ is $]1-$

Sum of forces in $x$ and $y$ directions then gives the reaction forces at $C=$ kips$)1+)1$

b$)$ An alternatlve approach using the free body dlagram