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Consider a stationary circular spool of thread of radius R.

Academic Writing Advanced Maths Consider a stationary circular spool of thread of radius R.

Advanced Maths

Consider a stationary circular spool of thread of radius R.

Consider a stationary circular spool of thread of radius R. Assume that the center of the spool is l… Show more Consider a stationary circular spool of thread of radius R. Assume that the center of the spool is located at the origin and the end of the thread is initially located at (R, 0). While keeping the thread taut, the thread is unwound in a counterclockwise direction. (a) Parameterize the path described by the end of the thread as r(t) = x(t)i+y(t)j. You may assume that the radius of the spool does not change as the thread is unwound. (b) Determine the arc length, s(t), of the path traced out by the end of the thread. Please explain your steps! • Show less

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