Question

Two forces with magnitudes of 131 and 52 newtons act on point with a resultant force of 100
newtons. Find the angle, in radians, between the forces.

Answer 1

Answer on question #53656, Physics / Mechanics — Kinematics — Dynamics

Question Two forces with magnitudes of 131 and 52 newtons act on point with a resultant force of 100 newtons. Find the angle, in radians, between the forces.

Solution The cosine of angle is

$$\cos \alpha = \frac {| a | ^ {2} + | b | ^ {2} - | (b - a) | ^ {2}}{2 | a | | b |} = \frac {1 3 1 ^ {2} + 5 2 ^ {2} - 1 0 0 ^ {2}}{2 \cdot 1 3 1 \cdot 5 2} \approx 0. 7 2 4$$

So the angle itself is

$$\alpha = \arccos 0. 7 2 4 \approx 0. 7 6 1$$

http://www.AssignmentExpert.com/