Finding Force and Distance in Simple Harmonic Motion Problem

AI Thread Summary
The discussion focuses on a physics problem involving a mass M suspended by a spring with a mass m inside it. Participants are tasked with finding the force between the box and the block over time and determining the distance d at which the block begins to leave the box during vertical oscillations. Key equations provided include F(m+M)=mg+ma and x(t)=dcos(ωt), with ω defined as √(k/(m+M)). The original poster expresses uncertainty about how to apply these equations to find the required force. The thread encourages collaboration and problem-solving among participants to clarify the concepts involved.
Kefurinu
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Homework Statement


A box of mass M is suspended by a spring of stiffness k. A small block of mass m is placed inside the box. If the system is pulled downward by a distance d and then released from rest:

a.) find the force between the bottom of the box and the block as a function of time;
b.) for what value of d does the block just begin to leave the bottom of the box at the top of the vertical osscilations?


Homework Equations


F(m+M)=mg+ma
x(t)=dcos(ωt)
ω=√(k/(m+M)).


The Attempt at a Solution


I'm unsure of how to proceed to determine the force of reaction from the equations above that I've worked out.
 
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