Solve the problem.
-Two forces, of $67.7$ and $15.8 \mathrm { lb }$, forming an angle of $26.7 ^ { \circ }$, act at a point in the plane. Find the magnitude of the resultant force.
A) $54.1 \mathrm { lb }$
B) $82.1 \mathrm { lb }$
C) $500 \mathrm { lb }$
D) $83.5 \mathrm { lb }$

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the formula for the resultant of two forces at an angle: $R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(\theta)}$, where $F_1$ and $F_2$ are the magnitudes of the two forces and $\theta$ is the angle between them. Substituting the given values, $R = \sqrt{67.7^2 + 15.8^2 + 2(67.7)(15.8)\cos(26.7^\circ)}$, which calculates to approximately $82.1 \mathrm { lb }$.

Solve the Problem 67.767.767.7 And 15.8lb15.8 \mathrm { lb }15.8lb , Forming an Angle Of

Solve the Problem $67.7$ And $15.8 \mathrm { lb }$ , Forming an Angle Of