All Problems

Kinematics

Problem 1.52

A point AA is located on the rim of a wheel of radius RR =0.50 m=0.50 \mathrm{~m} which rolls without slipping along a horizontal surface with velocity v=1.00 m/s.v=1.00 \mathrm{~m} / \mathrm{s} . Find: (a) the modulus and the direction of the acceleration vector of the point AA; (b) the total distance ss traversed by the point AA between the two successive moments at which it touches the surface.

Reveal Answer
 (a) wA=v2/R=2.0 m/s2, (b) s=8R=4.0 m\text { (a) } w_{A}=v^{2} / R=2.0 \mathrm{~m} / \mathrm{s}^{2}, \text { (b) } s=8 R=4.0 \mathrm{~m}