18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Optimization, Related Rates and Newton's Method

Session 32: Ring on a String

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When Professor Jerison holds up a piece of string threaded through a ring, the ring slides to the lowest point possible. How would we use calculus to predict the location of that point? This is a minimization problem with an added twist: the position of the ring is constrained by the endpoints and length of the string.

Lecture Video and Notes

Video Excerpts

Clip 1: Ring on a String

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos