Two steel wires support a moveable overhead camera weighing $W=26lb($see the figure part a$)$ used for close$-$up

viewing of field action at sporting events. At some instant, wire $1$ is at an angle $=42$ to the horizontal and wire $2$

is at an angle $=36.$ Both wires have a diameter of $20$ mils. $($Wire diameters are often expressed in mils; one mil

equals $0\mathrm{.}001$ in$.)$

Plan view of camera suspension system

$($b$)$

$($a$)$ Determine the tensile stresses ${}_1$ and ${}_2$ in the two wires. Round to one decimal place.

${}_1=$

ksi

$($b$)$

$($a$)$ Determine the tensile stresses ${}_1$ and ${}_2$ in the two wires. Round to one decimal place.

${}_1=,{}_{\text{k}\text{s}\text{i}}$

${}_2=,{}_{\text{k}\text{s}\text{i}}$

$($b$)$ If the stresses in wires $1$ and $2$ must be the same, what is the required diameter of wire $1?$ Round to one decimal

place.

$d_1=$

mils

$($c$)$ Now, to stabilize the camera for windy outdoor conditions, a third wire is added $($see figure part b$).$ Assume the

three wires meet at a common point $($coordinates $(0,0,0)$ above the camera at the instant shown in figure part b$.$

Wire $1$ is attached to a support at coordinates $(75ft,48ft,70ft).$ Wire $2$ is supported at $(-70ft,55ft,80ft).$

Wire $3$ is supported at $(-10ft,-85ft,75ft).$ Assume that all three wires have a diameter of $20$ mils $.$ Find the

tensile stresses in wires $1$ to $3.$ Round to one decimal place.

${}_1=,$

${?}_{\text{k}\text{s}\text{i}}$

${}_2=,{}_{\text{k}\text{s}\text{i}}$

${}_3=,{}_{\text{k}\text{s}\text{i}}$

Please solve all steps and explain everything