Recent content by rashomon

Homework Statement Kate's mother puts her on an amusement park ride. While on the ride, Kate follows the path r(t) = (t-sin(t))i + (1-cos(t))j + 0 k for 0≤t≤2π. Kate's mother stands at location (2π, 4, 0) while Kate is on the ride. Kate is a little scared, so she hangs on tight and stares...

Homework Statement 2. Consider a stationary circular spool of thread of radius R. Assume the end of the thread is initially located at (0; R). While keeping the thread taut, the thread is unwound in a clockwise direction. (a) Parameterize the path described by the end of the thread as r(t) =...