All Problems

The Fundamental Equation of Dynamics

Problem 1.91

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

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