As shown, two cables connect three points. C$\text{'}$ is

below $A$ by a distance $C_n=2\mathrm{.}50ft$ and

connected to $A$ by a cable $7\mathrm{.}64$ ft long. Cable $AC$

forms an angle $=35\mathrm{.}0$ with the positive $y$ axis. $B$

is $8\mathrm{.}70$ ft above $C$ and the distances $B_z$ and $B_3$

are $7\mathrm{.}70$ ft and $3\mathrm{.}50$ ft $,$ respectively. $($Eigure $1)$

Express your answers, separated by commas, to three significant figures.

View Avallable Hint$($s$)$

$r_{AB}=-7\mathrm{.}70\mathrm{.}3\mathrm{.}50\mathrm{.}6\mathrm{.}20$iff,$ft,kft$

Previsus Afrewes

Correct

Part $D-$ Unit direction vector for line $AB$

For the position vector lound in Pat A$,$ find the unit dinection veetor acting in the same direction. Express your answer in component form.

Express your anseers, separated by commas, to three significant figures.

View Avallable Hina$($s$)$

$[$

Correct

Part C $-$ Position vector from $A$ to $C$

The length of cable $AC$ is $7\mathrm{.}64$ ft $,$ and the cable forms the angle $=35\mathrm{.}0$ with the $y$ axis. Given this information and the dimentions provided in the figure, find the position vector from $A$ to $C.$

Express the positon vector in component form.

Express your answers, separated by commas, to three significant figures.

View Avallable Hin$($s$)$

Correct

Part D $=$ Position vector from $B$ to $C$

Find the position vector from $B$ to $C.$ Express your answer in component form.

Express your answers, separated by commas, to three significant figures.

View Avallable Hint$($s$)$

$r_{AC}=11\mathrm{.}3\mathrm{.}2\mathrm{.}76,-8\mathrm{.}70$ ift, $jft,kft$

Exerisus Aniverta

Correct

Part E $=$ Tension in the cable

A cable is attached between $B$ and $C.$ The cable is attached in such a way that it has a tension of T TBe along its length. The tensle force will attempt to pull $B$ toward $C.$ The force exerted on $B$

has a $z$ component with a magrithde of $10$ lb $.$ What is the magritude of the tension in the cable. $T_{\text{m}\text{c}\text{e}\text{?}}?$

Express your answer to three significant figures and include the appropriate units.

View Avallable Hint$($s$)$

FigureLearning Goal:

To determine Cartesian force components from magnitude and

determine position and resultant vectors by summing Cartesian

components.

As shown, a $2\mathrm{.}9-lb$ ball is suspended at point $D$ inside a box with

dimensions $w=9\mathrm{.}30ft,d=6\mathrm{.}60ft,$ and $h=4\mathrm{.}50ft.$ The ball is

held in place by three cables anchored at points $A,B,$ and $C$ on the

surface of the box.

If point $D$ is the origin of the Cartesian coordinate system, point $A$ is

located at $(-4\mathrm{.}60,-3\mathrm{.}50,2\mathrm{.}90)ft,$ point $B$ is located at

$(2\mathrm{.}00,-3\mathrm{.}50,1\mathrm{.}90)ft,$ and point $C$ is located at

$(2\mathrm{.}00,5\mathrm{.}80,-1\mathrm{.}60)ft.$

Part A $-$ Determining Cartesian components of force

The tension in cable $DA$ has a magnitude of $T_{DA}=6\mathrm{.}42lb.$ Find the Cartesian components of tension $T_{DA},$ which is directed from $D$ to $A.$

Express your answers, separated by commas, to three significant figures.

View Available Hint$($s$)$

$T_{DA}=$

i lb$,jlb,klb$

Previous Answers

Incorrect; Try Again; $4$ attempts remaining

Part B $-$ Determining an unknown force

If the tensions in cables $DA$ and $DB$ are $T_{DA}=6\mathrm{.}42lb$ and $T_{DB}=4\mathrm{.}68lb,$ respectively, what is the tension in cable $DC?$

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

$T_{DC}=$

I need help with Part E please. Thank you very much.