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The Fundamental Equation of Dynamics

Problem 1.87

A small body AA starts sliding off the top of a smooth sphere of radius RR. Find the angle θ\theta (Fig. 1.25 ) corresponding to the point at which the body breaks off the sphere, as well as the break-off velocity of the body.

Reveal Answer
θ=arccos⁡(2/3)≈48∘,v=V2gR/3‾\theta=\arccos (2 / 3) \approx 48^{\circ}, \quad v=V \overline{2 g R / 3}
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