All Problems The Fundamental Equation of Dynamics
Problem 1.68
At the moment \(t=0\) the force \(F=a t\) is applied to a small body of mass \(m\) resting on a smooth horizontal plane \((a\) is a constant \()\) The permanent direction of this force forms an angle \(\alpha\) with the horizontal (Fig. 1.14). Find: (a) the velocity of the body at the moment of its breaking off the plane; (b) the distance traversed by the body up to this moment.
(a) \(v=\frac{m g^{2} \cos \alpha}{2 a \sin ^{2} \alpha}\) (b) \(s=\frac{m^{2} g^{3} \cos \alpha}{6 a^{2} \sin ^{3} \alpha}\).