Question

Consider the following three displacements: A= 5m, 9"; B=5 m, 0°; C=5 m, -30°. (a) Make a rough plot of the three displacements and on the graph indicate the resultant graphically, (b) Write down the vectors in terms of (1,j) notations. (c) Find the magnitude and direction (R,0) for the resultant of the three vectors.

Answer 1

a)

b) We introduce a rectangular coordinate system and write the coordinates of the vectors in this system.

A(1; 0.00004j)

B(1;0j)

C(1;2.5j)

c)

$$(R;0)=(5\times cos9''+5+5\times cos30^0;0)\approx(14.23;0)$$