Answer to Question #119194 in Mechanics | Relativity for gly

Question

the resultant of vectors A and B is 12-N perpendicular to vector A. if vector A also has 12-N magnitude, solve for magnitude and direction of vector B. [Analytical method)

Answer 1

Solution.

$R=12N;$

$R \perp F_A;$

$F_A=12N;$

$F_B-?;$

$F_B^2=R^2+F_A^2;$

$F_B=\sqrt{R^2+F_A^2};$

$F_B=\sqrt{144N^2+144N^2}=17N;$

$\alpha =45^o+90^o=135^o$ -the angle between the vectors A and B;

Answer: $F_B=17N, \alpha = 135^o.$