$2.$ The ball at $\backslash ($ D $\backslash )$ is in equilibrium when in the position shown below. Block $\backslash ($ C $\backslash )$ is $30$ lb $,$ the springs have constants of $\backslash ($ k$\_\{1\}=$k$\_\{2\}=20\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$in$\}\backslash ),$ and the pulley at $\backslash ($ A $\backslash )$ can be assumed weightless and frictionless. If the tension in rope segment $\backslash ($ A B $\backslash )$ is $100$ lb $,$ determine:

A$)$ the elongation of springs $1$ and $2,$

B$)$ the weight of ball $\backslash ($ D $\backslash ),$ and

C$)$ the normal force exerted on the ball by the smooth ramp.