Problem $1\mathrm{.}6\mathrm{.}1$ Static Determinacy

Consider the following combination object made $of$ light materials $i.e.,$ ignore any weights with

two external forces applied

Point $Ais$ the centre $of$ the bottom $of$ the golden vertical beam, located $at$ the origin, where that

beam $is$ fixed $to$ the ground.

Point $Bis$ the centre $of$ the small fixed$-$support joint connecting the golden beam $to$ the grey

beam, located $at{r}_s=$:$0\mathrm{.}1,1,0$:$m$

Point $Cis$ near the end $of$ the grey beam where cable $CDis$ connected, located $at$

$r_c=$:$1\mathrm{.}5,1\mathrm{.}05,0$:$m$

Point $Dis$ near the top $of$ the golden beam where the other end $of$ cable $CDis$ attached, located

$at{r}_b=$:$0\mathrm{.}05,2,0$:$m.$

Point force $F_1=1,-3,3N$ and $is$ applied $to$ the grey beam $at{r}_1=1\mathrm{.}3,0\mathrm{.}95,0\mathrm{.}05m$

Point force $F_2=$:$2,4,0$:$N$ and $is$ applied $to$ the grey beam $at{r}_2=$:$0\mathrm{.}5,1\mathrm{.}05,0$:$m$

$aIs$ this system $as$ a whole externally statically determinate, underdeterminant, $or$

indeterminant? What about the system $of$ the grey beam alone?

$b$ Determine the reaction force and moment provided $by$ the ground $at$ point A assume the

reaction point force $is$ applied directly $at$ point $A$

c Determine the reaction force and moment provided to the grey beam by the support at point B if the cable has no tension in it

d Use Newton's third law to check your answers for part b and c