MediumCurves in space

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.2 Plane Motion: Projectiles and Cycloids, #19 · Multivariable Calculus · Curves in space

Find the unit tangent vector … to the cycloid

This problem is about cycloids and related curves

Find the unit tangent vector $T$ to the cycloid. Also find the speed at $θ = 0$ and $θ = π$ , if the wheel turns at $d θ / d t = 1$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.2 Plane Motion: Projectiles and Cycloids, #19

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