A bug of mass m is stuck to a point on the rim of a rolling wheel (of radius r)... which traces out a path called a cycloid. The position vector of the point (bug) is given by:
r(theta) = r(theta - sin(theta))i + r(1 - cos(theta))j
For a wheel rolling with constant angular spped...
A) Determine the velocity vector v = vxi + vyj.
B) Determine the acceleration vector a =axi + ayj
C) Verify the magnitude of the acceleration vector is given by a = r(greek w)^2
The Attempt at a Solution
The derivatives i took for each vector looked very incorrect.