For the \(y\) component of Newton’s Second Law, in which the acceleration has no component, we have: \[\begin{aligned} \sum F_y = N_1 - F_{g1}\cos\theta &= 0\\ \therefore N_1=m_1g\cos\theta\end{aligne...For the \(y\) component of Newton’s Second Law, in which the acceleration has no component, we have: \[\begin{aligned} \sum F_y = N_1 - F_{g1}\cos\theta &= 0\\ \therefore N_1=m_1g\cos\theta\end{aligned}\] which shows us that the magnitude of the normal force can easily be expressed in terms of the weight (\(F_{g1}=m_1g\)) and the angle of the incline.
