Given: Two Vectors are defined as A = 48.00 @ 158.0o and B = 32.00 @ 38.0o . Fin
ID: 3681850 • Letter: G
Question
Given: Two Vectors are defined as A = 48.00 @ 158.0o and B = 32.00 @ 38.0o .
Find: a. (10) Define a Matlab Vector A consisting of the X-component and Y-component of given Vector A using the appropriate cosine and sine functions.
b. (10) Define a Matlab Vector B consisting of the X-component and Y-component of given Vector B using the appropriate cosine and sine functions.
c. (15) Sum the results to obtain and display the X- and Y-components of the Resultant vector R = A + B. d. (15) Calculate the magnitude of the Resultant R. e. (15) In which quadrant would you find the Resultant R? f. (15) What is the angle between the Resultant R and the positive X-axis
Explanation / Answer
%matlab code;
ax= 48* cosd(158) ; ay= 48* sind(158) ;
bx= 32* cosd(38)
by= 32* sind(38)
rx= ax+ bx
ry = ay+by
a= sqrt( ax* ax + ay*ay)
b= sqrt( bx* bx + by*by)
r= sqrt( rx* rx + ry*ry)
theta= atand(ry/rx)
____________
Two Vectors are defined as A = 48.00 @ 158.0o and B = 32.00 @ 38.0o .
Find: a. (10) Define a Matlab Vector A consisting of the X-component and Y-component of given Vector A using the appropriate cosine and sine functions.
ax = -44.505 ; ay = 17.981 ;
b. (10) Define a Matlab Vector B consisting of the X-component and Y-component of given Vector B using the appropriate cosine and sine functions.
bx = 25.216 ; by = 19.701 ;
c. (15) Sum the results to obtain and display the X- and Y-components of the Resultant vector R = A + B.
rx = -19.288 ; ry = 37.682
d. (15) Calculate the magnitude of the Resultant R.
r = 42.332
e. (15) In which quadrant would you find the Resultant R?
Second Quadrant, i.e angle = -62.893
rx = -19.288 ; ry = 37.682,
f. (15) What is the angle between the Resultant R and the positive X-axis
theta = -62.893 =
190-theta= 252.89 degrees with respect to +ve x-axix
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