(i)[2]
Calculate the magnitude of the force that the vertical curved surface of the cylinder exerts on the sphere.
(ii)[2]
Hence show that the overall force exerted on the sphere by the cylinder has magnitude $5\,\text{N}$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A sphere of mass $0.4\,\text{kg}$ travels at constant speed $1.5\,\text{m s}^{-1}$ round a horizontal circle inside a smooth fixed hollow cylinder with diameter $0.6\,\text{m}$. The cylinder’s axis is vertical, and the sphere touches both the horizontal base and the vertical curved surface of the cylinder.