Calculate the maximum force required to accelerate the box

AI Thread Summary
To calculate the maximum force required to accelerate a box without moving the glass on top, one must consider the static friction between the glass and the box. The maximum static friction force can be determined using the equation Ff = umg, where u is the coefficient of static friction. It's important to account for the mass of both the box and the glass, as the glass's mass increases the friction force acting on the box. Creating a spreadsheet to input various values will facilitate the calculation of the required force and acceleration. Drawing free body diagrams for both the box and the glass can help clarify the forces at play.
charch
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Homework Statement


Calculate the maximum force required to accelerate the box from rest and not move the glass on it's surface on top of the box. I am given the mass of the box and glass, and both the static and kinetic coefficients of both objects. I have to create a spreadsheet that can accept any number that is inputted


Homework Equations


Ff=umg, fnet=Fg+Fn+Ff+Fa


The Attempt at a Solution



so far I've got the maximum force of static friction for the glass, using the equation F=umg... I am unsure how the box beneath it affects the force applied to the glass
 
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The maximum force will give you the maximum acceleration, a. The required force must accelerate both masses with acceleration a and oppose the friction force on the box (don't forget the mass of the glass increases the friction force).

Hope this helps.
 


charch said:

Homework Statement


Calculate the maximum force required to accelerate the box from rest and not move the glass on it's surface on top of the box. I am given the mass of the box and glass, and both the static and kinetic coefficients of both objects. I have to create a spreadsheet that can accept any number that is inputted.

Homework Equations


Ff=umg, fnet=Fg+Fn+Ff+Fa

The Attempt at a Solution



so far I've got the maximum force of static friction for the glass, using the equation F=umg... I'm unsure how the box beneath it affects the force applied to the glass

Hello charch. Welcome to PF !

Draw two free body diagrams; one for the box, one for the glass.
 
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