All Problems

The Fundamental Equation of Dynamics

Problem 1.91

A car moves uniformly along a horizontal sine curve y=y= =asin(x/α),=a \sin (x / \alpha), where aa and α\alpha are certain constants. The coefficient of friction between the wheels and the road is equal to kk. At what velocity will the car ride without sliding?

Reveal Answer
vαkg/av \leqslant \alpha \sqrt{k g / a}