Calculating Acceleration for a System of Frictional Forces with Two Cubes

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SUMMARY

The discussion focuses on calculating the acceleration of a system involving two cubes, where one cube (m1 = 10 kg) rests on a table and the other cube (m2 = 4.0 kg) hangs off the edge, connected by a wire. The coefficients of static and kinetic friction are 0.50 and 0.30, respectively. To find the acceleration when the system is released from rest or set in motion, participants emphasize the importance of drawing a diagram, labeling forces, and applying Newton's second law (F = ma) to analyze the forces acting on each cube.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Knowledge of static and kinetic friction coefficients
  • Ability to draw and interpret free-body diagrams
  • Familiarity with tension forces in connected systems
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  • Study the effects of static vs. kinetic friction in mechanical systems
  • Learn how to construct and analyze free-body diagrams for multi-body systems
  • Explore the concept of tension in strings connecting moving objects
  • Investigate the dynamics of systems with multiple masses and frictional forces
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Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for practical examples of friction and acceleration in connected systems.

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Homework Statement


in a figure with too cubes one sitting on the table and the other connected by a wire to the first box is off the table. m1+10 kg and m2+4.0 kg. The coeffecient of static friction between m1 and the horizontal surface is .50 and the coeffecient of kinetic friction is .30. If the object is released from resr what will its acceleration be and if the system is set in motiom with m2 moving downward what will be the acceleration of the system?


Homework Equations



m= the greek symbol mu

Fk=MkFn and fs is greater than or equal to MsFn


The Attempt at a Solution



I know how to solve the problem had an angle been given but there isn't one so I am clueless, I spent quite a while trying to figure it out!
 
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first thing: draw a diagram and label all the forces acting, this always helps.

Then remember that the net force is proportional to mass (f=ma). It can be easier if you look at all the forces acting on only one box ( since the tension in the string is the effect of the other box)

Still having problems, give us a yell.

-spoon
 

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