Develop a MATLAB function called Forces, which has five input arguments: the magnitude

and angle of Force $1,$ the magnitude and angle of Force $2,$ and units for the angles $($degrees or

radians$).$ The function should first check for valid inputs. The magnitudes must be positive and

the units must be 'degrees' or 'radians' $($also could use $\text{'}$D$\text{'}$ or $\text{'}$R$\text{'}).$ If any of the inputs are

invalid, the function should print a message to the user and terminate without returning any

values. If the inputs are valid, the function should compute the resultant force and return two

output arguments: the magnitude and angle of the resultant force. The angle should be in the

same units that the two forces were originally in$.$

To compute the resultant force:

Convert each force to rectangular form by calculating the $x$ and $y$ component of each

force:

$F_x=|F|cos()$ and $F_y=|F|sin()$

Add the x $-$components of the forces to calculate $F_{rx}($the x $-$component of resultant force$).$

Add the y $-$components of the forces to calculate $F_{ry}($the y $-$component of resultant force$).$

Convert the resultant force from rectangular form to polar form as follows:

$Fr=\sqrt[\phantom{2}]{F_{rx}^2+F_{ry}^2}$ and $r=\{\begin{array}{cc}atan(\frac{F_{ry}}{F_{rx}}),& F_{rx}0\\ atan(\frac{F_{ry}}{F_{rx}})+,& F_{rx}<mn>0</mn>\end{array}$

Save your function as Forces.m and then call it from MATLAB's command window to check

for accuracy.

Sample Output:

Assuming the following order for input arguments: Mag of F$1,$ Angle of F$1,$ Mag of F$2,$ Angle of

F$2,$ Units $(\text{'}$D$\text{'}$ or $\text{'}$R$\text{'})$

$[F_{-}r,T{h}_{-}r]=$Forces$(10,180,5,90,D^{\text{'}})$

$F_{-}R=11\mathrm{.}1803$

$T{H}_{-}R=153\mathrm{.}4349$