Answer to Question #171448 in Classical Mechanics for Jethro Torio

Question

Along the x-axis, a box is pulled by a string. 30° from the x-axis a second string pulls the box slightly upward. Find the magnitude of both Force vectors.

Answer 1

Answer

Asume that force $F_1$ is upward force and $F_2$ is force that working at 30° to the horizontal.

So angle between both force will be

90-30=60°

So magnitude of bet force vector

$F_{net}=\sqrt{F_1^2+F_2^2+2F_1F_2cos60°}\\F_{net}=\sqrt{F_1^2+F_2^2+F_1F_2}$