The \(z\) component relates the weight and normal force: \[\begin{aligned} \sum F_z &= N - F_g = 0\\ \therefore N&=mg\end{aligned}\] The \(x\) component of Newton’s Second Law is such that the \(x\) c...The \(z\) component relates the weight and normal force: \[\begin{aligned} \sum F_z &= N - F_g = 0\\ \therefore N&=mg\end{aligned}\] The \(x\) component of Newton’s Second Law is such that the \(x\) component of the acceleration is its radial component: \[\begin{aligned} \sum F_x &= -f_s\cos\theta = -ma_R = -m\frac{v^2}{R}\\ \therefore f_s\cos\theta &= m\frac{v^2}{R}\end{aligned}\] The \(y\) component of Newton’s Second relates the tangential component of the force of static friction to the tan…
