1. Tardigrade
  2. Question
  3. Physics
  4. If the resultant of two forces of magnitude p and 2 p is perpendicular to p, then the angle between the forces is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If the resultant of two forces of magnitude $p$ and $2 p$ is perpendicular to $p$, then the angle between the forces is

Motion in a Plane

Solution:

$\tan \alpha=\frac{2 p \sin \theta}{p+2 p \cos \theta} $ here $\theta=90^{\circ}$
$\Rightarrow \infty=\frac{2 p \sin \theta}{p+2 p \cos \theta} $
$\Rightarrow p+2 p \cos \theta=0$
$\Rightarrow \cos \theta=\frac{1}{2} $
$\Rightarrow \theta=\frac{2 \pi}{3}$