Question

A long smooth cylindrical pipe of radius r is tilted at an angle alpha to the horizontal. A small body at point A is pushed upwards along the inner surface of the pipe so that the direction of its initial velocity forms an angle phi with generatrix AB. Determine the minimum initial velocity V at which the body starts moving upwards without being separated from the surface of the pipe

Joshi sir comment

At the front of the cylinder, see a tilted circle Now compare this problem with vertical circular motion. A is the top point of that path. We know that the  minimum velocity at top point tangential to path of  vertical circle should be gr. Here due to tilt of this circle effective gravity = gcosα so vsinφ =gcosαr now solve inform for any issue wait for video

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