A study of a rotating rod carrying a collar using Lagrange's equation of motion and variational calculus (Q2746713)
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scientific article; zbMATH DE number 1656425
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A study of a rotating rod carrying a collar using Lagrange's equation of motion and variational calculus |
scientific article; zbMATH DE number 1656425 |
Statements
A study of a rotating rod carrying a collar using Lagrange's equation of motion and variational calculus (English)
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8 January 2002
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rotating rod
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Lagrange's equation of motion
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variational calculus
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maximal exit velocity
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minimal exit time
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collar
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A horizontal (in general curved) rod carrying, without friction, a collar, rotates with constant angular velocity about a vertical axis. Initial conditions are given. This articie studies: (a) how the shape of the rod influences the collar's velocity when it reaches the end of the rod; (b) for which shape of the rod this velocity is a maximum, and (c) for which shape of the rod the collar reaches the end of the rod in minimal time.
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