Curvature
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Curvature PowerPoint PPT Presentation


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Curvature. Unit Tangent. Curvature Vector. Curvature Formula. Example. Theorem. Proof of Orthogonality. Radius of Curvature and Principal Normal. Osculating Plane. Circle of Curvature. Example. Tangential and Normal Acceleration. Decomposition of Acceleration.

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Curvature

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Curvature

Curvature


Unit tangent

Unit Tangent


Curvature vector

Curvature Vector


Curvature formula

Curvature Formula


Example

Example


Theorem

Theorem


Proof of orthogonality

Proof of Orthogonality


Radius of curvature and principal normal

Radius of Curvature and Principal Normal


Osculating plane

Osculating Plane


Circle of curvature

Circle of Curvature


Example1

Example


Tangential and normal acceleration

Tangential and Normal Acceleration


Decomposition of acceleration

Decomposition of Acceleration


Decomposition of acceleration1

Decomposition of Acceleration


Example2

Example


Curvature formula1

Curvature Formula


Example3

Example


Curvature of a plane curve

Curvature of a Plane Curve


Example4

Example


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