All Problems

Kinematics

Problem 1.54

A cylinder rolls without slipping over a horizontal plane. The radius of the cylinder is equal to \(r\). Find the curvature radii of trajectories traced out by the points \(A\) and \(B\) (see Fig. 1.7).

Reveal Answer
RA=4r,RB=22rR_{A}=4 r, \quad R_{B}=2 \sqrt{2} r