All Problems The Fundamental Equation of Dynamics
Problem 1.83
A particle of mass \(m\) moves along a circle of radius \(R\). Find the modulus of the average vector of the force acting on the particle over the distance equal to a quarter of the circle, if the particle moves (a) uniformly with velocity \(v\); (b) with constant tangential acceleration \(w_{\tau}\), the initial velocity being equal to zero.
(a) \(|\langle\mathbf{F}\rangle|=2 \sqrt{2} m v^{2} / \pi R\) (b) \(|\langle\mathbf{F}\rangle|=m w_{\tau}\)