A string is wound around a pulley whose center is fixed to a wall, and the other end of the string is wound around a spool that can move freely. The pulley is solid and has uniform density, the spool can be considered just a ring. Both objects have equal masses and radii. Both the pulley and spool start at rest, then the spool is released. The distance the spool drops is equal to the length of the string (a) Find the relationship between the rotational velocity and radius of the spool with the spool's linear velocity. (b) Find the linear velocity of the spool after it has fallen 5 meters.

A string is wound around a pulley whose center is fixed to a wall, and the other end of the string is wound around a spool that can move freely. The pulley is solid and has uniform density, the spool can be considered just a ring. Both objects have equal masses and radii. Both the pulley and spool start at rest, then the spool is released. The distance the spool drops is equal to the length of the string (a) Find the relationship between the rotational velocity and radius of the spool with the spool's linear velocity. (b) Find the linear velocity of the spool after it has fallen 5 meters.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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