Is This Art or Something? $(35$ pts $)$ A curved rod ADEB is supported by a single smooth

pin at A and a cable at $B.$ The bar is subjected to a force of $150$ lb acting in the negative $Z$

direction at D $,$ a force of $50$ lb acting in the positive x direction at B and a counterclockwise

couple of $250$ lb $-$ft about the y $-$axis at point E $($the black arrow here indicates the thumb direction

using the right$-$hand rule$).$

Figure $1.$ Curved rod supported by a single smooth pin at A and a cable at point $B.$

a$)$ Draw a $3$D free$-$body diagram of ADEB, isolated from its supports. Clearly label the

unknown reactions.

b$)$ Verify that the unit direction vector from $B$ to $C$ is widehat$(u_{BC})=-0\mathrm{.}928$hat$()+0$hat$()+0\mathrm{.}371$hat$(k)$

c$)$ Determine the unknown force and couple reactions at $A$ as vectors and determine the

magnitude of the tension force in cable BC$.$