Bug physics.

  • #1

Homework Statement



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...

Homework Equations



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.

Homework Statement





Homework Equations





The Attempt at a Solution

 

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