Physics · MOTION IN A PLANE

Two forces of magnitudes 8 N and 15 N act at a point. If their resultant magnitude is 17 N, calculate the angle \( \theta \) between the two force vectors and the angle \( \beta \) that the resultant makes with the 8 N force.

1. A
   \( \theta = 45^\circ \), \( \beta = 45^\circ \)
2. B
   \( \theta = 60^\circ \), \( \beta = \tan^{-1}(\frac{8}{15}) \)
3. C
   \( \theta = 90^\circ \), \( \beta = \tan^{-1}(\frac{15}{8}) \)
4. D
   \( \theta = 90^\circ \), \( \beta = \tan^{-1}(\frac{8}{15}) \)