Question

Question 5 (2 points) For the given three vectors that act at a point, <vec A” (10 N, 09:くvec B. (7.07 N, 45%, and <vec C> = (10 N, 1500. Find the direction of the resultant vector, <vec R> answers to ONE decimal place. <vec A> + <vec B> + <vec C>, Express the sp Direction of the resultant vector ( in degrees-</p> Submilt Qulz 0 of 5 questions saved MacBook Air F1o 8 0 0
i need help with question number 5 please thank u

Answer 1

This is a very basic question on the concept of components of a vector.

So ,resolving all three vectors along vector A

So,

X component will be

x=(10)+(7.07cos45)-(10cos30)

X=6.34 N

Similarly y component will be,

y= (7.07sin45)+(10sin30)

y=10

So, angle will be

$\theta =\tan^{-1} \frac{y}{x}$

$\theta =\tan^{-1} \frac{10}{6.34}$

=57.5°