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A particle moves along the curve y = a log (sec(x/a) in such a way that the tangent to the curve rotates uniformly . Prove that the resultant acceleration of the particle varies as the square of the radius of curvature .

A particle moves along the curve y = a log (sec(x/a) in such a way that the tangent to the curve rotates uniformly . Prove that the resultant acceleration of the particle varies as the square of the radius of curvature .

Grade:12th pass

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