The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

A bead slides along a wire that rotates in the x-y plane with constant angular velocity ω0. The radial component of the bead’s acceleration is zero. The radial component of its velocity is v0 when r = r0. Determine the polar components of the bead’s velocity as a function of r.

Strategy: The radial component of the bead’s velocity is

and the radial component of its acceleration is

By using the chain rule

you can express the radial component of the acceleration in the form