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 ?minvmin with which the block must be released in order to guarantee that it will make a full circle.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 65PQ: A 50.0-g toy car is released from rest on a frictionless track with a vertical loop of radius R. The...
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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 ?minvmin with which the block must be released in order to guarantee that it will make a full circle.

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