A small block of mass m is placed halfway up on the inside of a frictionless, circular loop of radius r, as shown. The size of the block is very small compared to the radius of the loop. Determine an expression for the minimum downward speed Umin with which the block must be released in order to guarantee that it will make a full circle.

A small block of mass m is placed halfway up on the inside of a frictionless, circular loop of radius r, as shown. The size of the block is very small compared to the radius of the loop. Determine an expression for the minimum downward speed Umin with which the block must be released in order to guarantee that it will make a full circle.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.6P

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