Question

22.Five equal forces each of 20N are acting at a point in the same plane.If the angles between them are same, the resultant of these forces is

Answer 1

$$\begin{gathered} \mathrm{Angle}\mathrm{between}\mathrm{the}\mathrm{forces}: \\ \mathrm{\theta }=\frac{360}{5} \\ ={72}^0 \\ \mathrm{Expression}\mathrm{for}\mathrm{resultant}\mathrm{of}\mathrm{the}\mathrm{forces}: \\ \mathrm{R}=\frac{\mathrm{F}\sin {\displaystyle \frac{\mathrm{N\theta }}{2}}}{\sin {\displaystyle \frac{\mathrm{\theta }}{2}}} \\ =20\times \frac{\sin \left(5\times 72\right)}{\sin {36}^0} \\ \mathbf{}\mathbf{}\mathbf{=}\mathbf{0} \end{gathered}$$