Standard +0.3 This is a standard M3 circular motion problem requiring resolution of forces (normal reaction, friction, weight) and application of F=mv²/r. The setup is straightforward with given values, requiring systematic application of Newton's laws in two directions and combining equations to find the friction coefficient condition. While it involves multiple steps (7 marks), the approach is methodical and follows standard textbook procedures without requiring novel insight.
A motorcyclist rides in a cylindrical well of radius 5 m. He maintains a horizontal circular path at a constant speed of 10 ms\(^{-1}\). The coefficient of friction between the wall and the wheels of the cycle is \(\mu\).
\includegraphics{figure_1}
Modelling the cyclist and his machine as a particle in contact with the wall, show that he will not slip downwards provided that \(\mu \geq 0.49\).
[7 marks]
A motorcyclist rides in a cylindrical well of radius 5 m. He maintains a horizontal circular path at a constant speed of 10 ms$^{-1}$. The coefficient of friction between the wall and the wheels of the cycle is $\mu$.
\includegraphics{figure_1}
Modelling the cyclist and his machine as a particle in contact with the wall, show that he will not slip downwards provided that $\mu \geq 0.49$.
[7 marks]
\hfill \mbox{\textit{Edexcel M3 Q1 [7]}}