Answer to Question #185288 in Field Theory for lee

Question

Three masses are located in the corners of an equillateral triangle. Find the magnitude and direction graitational field at the center of the triangle. Given:m1=22, m2=340,m3=340

Answer 1

Answer

Assume that side of equilateral triangle

Is L.

Gravitational field at center of equilateral triangle is given by

$\vec{g}=G\frac{m_1}{(\frac{l}{\sqrt{3}})^2}\hat{j}-G\frac{m_2}{(\frac{l}{\sqrt{3}})^2}cos60°\hat{j}+G\frac{m_2}{(\frac{l}{\sqrt{3}})^2}sin60°\hat{i}-G\frac{m_3}{(\frac{l}{\sqrt{3}})^2}cos60°\hat{j}-G\frac{m_3}{(\frac{l}{\sqrt{3}})^2}sin60°\hat{j}$