Spring System with Masses: Force and Vertical Oscillations

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The discussion focuses on analyzing a spring-mass system where a box of mass M supports a block of mass m. When the system is displaced downward a distance d and released, the reaction force between the block and the box is determined as a function of time. The critical value of d is identified, which indicates when the block will just begin to leave the bottom of the box at the peak of its vertical oscillations. The analysis assumes no air resistance, simplifying the calculations. Understanding these dynamics is essential for solving the problem effectively.
Lewis
I'm having lots of trouble with this one, help would be much appreciated!

A spring of stiffness k supports a box of mass M, in which is placed a block of mass m. If the system is pulled downward a distance d from the equilibrium position and then released, find the force of reaction between the block and the bottom of the box as a function of time. For what value of d will the block just begin to leave the bottom of the box at the top of the verticle oscillations? Neglect any air resistance.
 
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