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.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.2: Circular Motion
Problem 14PP
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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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