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## 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 = vx

**i**+ vy

**j**.

B) Determine the acceleration vector a =ax

**i**+ ay

**j**

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.