Question 6 - A-Level Maths

By considering the total energy of the system, obtain an expression for \(v ^ { 2 }\) in terms of \(\theta\).
Show that the magnitude of the force exerted on \(P\) by the cylinder is \(( 7.12 \sin \theta - 4.64 \theta ) \mathrm { N }\).
Given that \(P\) leaves the surface of the cylinder when \(\theta = \alpha\), show that \(1.53 < \alpha < 1.54\).