Calculate the Smaller Force if the Bigger Force is 40N and the Resultant Force is Perpendicular to the Smaller Force. The Two Forces are Acting at an Angle of 120°

Let the smaller force be of the magnitude F Newton

90° is the angle made by the resultant force with the smaller force

The angle between the resultant force and the larger force = (120° – 90°) = 30°

\(tan\;30^{\circ}=\frac{F\times sin\;120^{\circ}}{40+F\times cos\;120^{\circ}}\) \(\frac{1}{\sqrt{3}}=\frac{F\times \frac{\sqrt{3}}{2}}{40+F\times \frac{-1}{2}}\)

80 – F = 3F

4F = 80

F = 20N

Was this answer helpful?

  
   

2.5 (2)

Upvote (1)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

BOOK

Free Class

Ask
Question