Standard +0.8 This is a challenging M3 banked track problem requiring resolution of forces in two directions (perpendicular and parallel to the plane), incorporating both the banking angle and friction at maximum speed. It demands careful setup of simultaneous equations involving normal reaction, friction, weight, and centripetal force, going beyond standard single-concept circular motion questions.
5. A cyclist is travelling around a circular track which is banked at \(25 ^ { \circ }\) to the horizontal. The coefficient of friction between the cycle's tyres and the track is 0.6 . The cyclist moves with constant speed in a horizontal circle of radius 40 m , without the tyres slipping.
Find the maximum speed of the cyclist.
5. A cyclist is travelling around a circular track which is banked at $25 ^ { \circ }$ to the horizontal. The coefficient of friction between the cycle's tyres and the track is 0.6 . The cyclist moves with constant speed in a horizontal circle of radius 40 m , without the tyres slipping.
Find the maximum speed of the cyclist.\\
\hfill \mbox{\textit{Edexcel M3 Q5 [12]}}