Physics

Problem

A mass

m

attached to an ideal spring of constant

k

oscillates on a smooth horizontal surface with natural frequency

f_{0}

. a. (a) Another mass

\dfrac{m}{3}

is gently placed on top of the first mass so that the two move together without slipping. Find the new natural frequency

f_{1}

of the combined system. b. (b) Hence, obtain the ratio

f_{1}:f_{0}