Calculate the maximum force required to accelerate the box

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SUMMARY

The discussion focuses on calculating the maximum force required to accelerate a box from rest without moving a glass placed on top. Key equations mentioned include Ff = μmg for static friction and fnet = Fg + Fn + Ff + Fa. The solution involves understanding the interaction between the box and the glass, particularly how the mass of the glass affects the friction force acting on the box. The user is advised to create a spreadsheet that can accept variable inputs for mass and coefficients of friction.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction coefficients
  • Ability to create and manipulate spreadsheets for calculations
  • Familiarity with free body diagrams
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  • Learn how to draw and analyze free body diagrams for multiple objects
  • Study the effects of mass on frictional forces in physics
  • Explore spreadsheet functions for dynamic calculations in physics problems
  • Investigate the relationship between static and kinetic friction coefficients
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Students in physics courses, educators teaching mechanics, and anyone involved in practical applications of force and friction calculations.

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
 
Last edited:
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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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