How Long Does It Take for a Box to Move Without Slipping on a Conveyor Belt?

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SUMMARY

The problem involves a box dropped onto a conveyor belt moving at 2 m/s, with a coefficient of friction of 0.4. To determine how long it takes for the box to stop slipping, one must analyze the forces acting on the box, specifically the frictional force and its relationship with the normal force. The equation F(friction) = N(normal reaction) x coefficient of friction is crucial for calculating the frictional force that will eventually allow the box to move with the belt without slipping.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of frictional forces and coefficients
  • Familiarity with kinematic equations
  • Ability to apply free body diagrams to analyze forces
NEXT STEPS
  • Study the concept of kinetic friction and its role in motion
  • Learn how to apply Newton's second law to problems involving friction
  • Explore the equations of motion for objects on inclined planes
  • Investigate the effects of different coefficients of friction on motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion involving friction on surfaces.

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Homework Statement



a box is dropped onto a covoyer belt moving at 2 m\sec .if the coefficient of friction between the box &the belt is 0.4 ,how long before the box moves without slipping ?


Homework Equations


F(friction)=N(normal reaction) X coefficient of friction


The Attempt at a Solution



i have no ideas about solving the problem , :(
thnx for help
 
Physics news on Phys.org
Assume the box is slipping as it hits the belt, and doesn't bounce. Like, it's dropped from a very low height, almost touching the belt. So that simplifies the problem to where you just start out with the belt pushing the box's mass to the side via kinetic friction. What does the box do due to this sideways force? Write an equation for the motion of the box in this first part of its motion.
 

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