A particle moves on the inside surface of a smoothconical shell and is given an initial

Chapter 3, Problem 3/234

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A particle moves on the inside surface of a smooth conical shell and is given an initial velocity \(\mathbf{v}_{0}\) tangent to the horizontal rim of the surface at A. As the particle slides past point B, a distance z below A, its velocity v makes an angle \(\theta\) with the horizontal tangent to the surface through B. Determine expressions for \(\theta\) and the speed v.

                                                     

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