A small mass m is in a box of mass M that is tied to a vertical spring of stiffness constant k. When
displaced from its equilibrium position y0 to yt and let go, it executes simple harmonic motion.
Calculate the reaction between m and M as a function of time. Does the mass m always stay in
contact with the box? If not, what determines that it will not be in contact with M? Calculate the value
of h as measured from the equilibrium position for which the contact is lost.

Question

A small mass m is in a box of mass M that is tied to a vertical spring of stiffness constant k. When 
displaced from its equilibrium position y0 to yt and let go, it executes simple harmonic motion.  
Calculate the reaction between m and M as a function of time. Does the mass m always stay in  
contact with the box? If not, what determines that it will not be in contact with M? Calculate the value 
of h as measured from the equilibrium position for which the contact is lost.