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(x- (D)² • (v- (O)²-0 The equation of the circle of curvature at t= 0 is

(x- (D)² • (v- (O)²-0 The equation of the circle of curvature at t= 0 is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The equation of the circle of curvature at t= 0 is (x- (D)² + (v- ()²-0 (y-
Transcribed Image Text:The equation of the circle of curvature at t= 0 is (x- (D)² + (v- ()²-0 (y-
Find the radius of curvature of the following curve at the given point Then write the equation of the circle of curvature at the point. The radius of curvature at a 1 point P is given by , where k is the curvature at P. K r(t) = (t,51) at t= 0 1 The radius of curvature at t=0 is 10 The equation of the circle of curvature at t= 0 is (x- (D)´+ (y- () =
Transcribed Image Text:Find the radius of curvature of the following curve at the given point Then write the equation of the circle of curvature at the point. The radius of curvature at a 1 point P is given by , where k is the curvature at P. K r(t) = (t,51) at t= 0 1 The radius of curvature at t=0 is 10 The equation of the circle of curvature at t= 0 is (x- (D)´+ (y- () =
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Step 1

Given, 

      r(t)=t, 5t2 at t=0

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