Solve the problem.
-A force of magnitude 10 pounds pulling on a suitcase makes an angle of $60 ^ { \circ }$ with the ground. Express the force in terms of its $\mathbf { i }$ and $\mathbf { j }$ components.
A) 0.5000i + + 0.8660j
B) 5.000i + 8.660 j
C) -9.524i - 3.048j
D) 8.660i + 5.000j

Question

Quizplus · Accepted Answer

The force can be broken into components using trigonometry: $ F_x = 10 \cos(60^\circ) = 5.000 $ and $ F_y = 10 \sin(60^\circ) = 8.660 $. Thus, the force in terms of $\mathbf{i}$ and $\mathbf{j}$ is $5.000\mathbf{i} + 8.660\mathbf{j}$.

Solve the Problem 60∘60 ^ { \circ }60∘ With the Ground i\mathbf { i }i

Solve the Problem $60 ^ { \circ }$ With the Ground $\mathbf { i }$