# Rolling coin

**Classical Mechanics**Level 5

A U.S quarter is rolling on the floor without slipping in such a way that it describes a circular path of radius \( R=4~\mbox{cm}\). The plane of the coin is tilted at an angle of \(\theta=45^{\circ}\) with respect to the horizontal plane (see the figure below). Find the coin's period \(T\) **in seconds**, that is, the time it takes for the coin to go around the circle of radius \(R\). The radius of a U.S quarter is \(r=1.2 ~\mbox{cm}\).

**Details and assumptions**

Assume \(g=9.8~\mbox{m/s}^{2}\).

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

Already have an account? Log in here.