Question

MatLab Engineering

Describe what each code snippet does and how it might be used in Statics. Describe in general terms what Statics calculation is being performed by each code snippet. What is input to the calculation and what results are given? Give definitions not numbers. All of these involve some concept covered in this module.

Code 1

Magnitude = 5;
Angle = 210;
X = Magnitude * cosd( Angle )
Y = Magnitude * sind( Angle )

Code 2

Xcomponents = [ 1, 2, -3, 4 ];
Ycomponents = [ 3, -6, 5, 0 ];
ResultantX = sum( Xcomponents )
ResultantY = sum( Ycomponents )

Code 3

Rx = -6;
Ry = 8;
Magnitude = sqrt( Rx^2 + Ry^2 )
Angle = atan2d( Ry, Rx )

Code 4

Magnitudes = [ 5, 13, 17 ];
Angles = [ 53.13, 157.38, -28.07 ];
X = Magnitudes .* cosd( Angles )
Y = Magnitudes .* sind( Angles )

Code 5 ( hint: Figure 2.25 )

F = [ 1, 2, 3, 4 ];
AngY = [ 0, 30, 120, 80 ];
phi = [ 30, 60, 90, 270 ];
Fh = Mag .* cosd( angY );
X = Fh .* cosd( phi )
Y = F .* cosd( AngY )
Z = Fh .* sind( phi )

Answer 1

Code 1: 
Magnitude = 5; (Given magnitude of vector)
Angle = 210; (Angle made by the vector) 
X = Magnitude * cosd( Angle )    (x-component of the vector)
Y = Magnitude * sind( Angle )    (y-component of the vector)

Code 2:

Xcomponents = [ 1, 2, -3, 4 ]; (Given x components of vectors stored in an array)
Ycomponents = [ 3, -6, 5, 0 ]; (Given y components of vectors stored in an array)
ResultantX = sum( Xcomponents )  (Resultant x component = sum of individual x components)
ResultantY = sum( Ycomponents )   (Resultant y component = sum of individual y components)

Code 3:

Rx = -6;  ( x component of vector R )
Ry = 8;   ( y component of vector R )
Magnitude = sqrt( Rx^2 + Ry^2 )   (Magnitude of vector R  = 
22 V
)
Angle = atan2d( Ry, Rx )           (Angle made by the resultant = 
Ry 1 tan
)

Code 4:

Magnitudes = [ 5, 13, 17 ];   (Given magnitude of various vectors)
Angles = [ 53.13, 157.38, -28.07 ];  (Given angle of various vectors)
X = Magnitudes .* cosd( Angles )     (sum of x component of vectors = 5cos(53.13) + 13cos(157.58) + 17cos(-28.07) )
Y = Magnitudes .* sind( Angles ) (sum of y component of vectors = 5sin(53.13) + 13sin(157.58) + 17sin(-28.07) )

Code 5

F = [ 1, 2, 3, 4 ];
AngY = [ 0, 30, 120, 80 ];    (Angle made by vector)
phi = [ 30, 60, 90, 270 ];   (Angle made by vector)
Fh = Mag .* cosd( angY );  
X = Fh .* cosd( phi )  (Sum of x components of vector Fh)
Y = F .* cosd( AngY )  (Sum of x components of vector F )
Z = Fh .* sind( phi )   (Sum of y components of vector Fh)