Question

A mouse steps onto the edge of a disk of radius R that is spinning at a constant angular speed of \omega, rad/second (assume counterclockwise rotation). The mouse moves with the constant velocity v towards the cheese, located at the center of the rotating disk.

(a) Derive a differential equation for the path of the mouse in polar coordinates.

(b) How many revolutions will the disk make before the mouse gets the cheese? The solution should be in terms of R, v, and \omega.

(c) What is the total distance the mouse will travel?

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