Inclined place friction problem

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SUMMARY

The inclined place friction problem involves two bodies, A and B, with weights of 96 N and 88 N respectively, and coefficients of static and kinetic friction of μs = 0.54 and μk = 0.24. The angle of the incline is θ = 42°. The acceleration of body A must be calculated under three conditions: at rest, moving up the incline, and moving down the incline. The net force acting on each mass is determined using Newton's First Law, where Fnet = ma, and requires a free-body diagram for accurate analysis.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of static and kinetic friction coefficients
  • Ability to draw and interpret free-body diagrams
  • Familiarity with basic trigonometry for inclined planes
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  • Study the application of Newton's First Law in multi-body systems
  • Learn how to calculate net forces on inclined planes
  • Explore the differences between static and kinetic friction in practical scenarios
  • Practice drawing free-body diagrams for various physical situations
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of inclined plane problems.

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Homework Statement



Body A in Fig. 6-33 weighs 96 N, and body B weighs 88 N. The coefficients of friction between A and the incline are μs = 0.54 and μk = 0.24. Angle θ is 42°. Let the positive direction of an x-axis be down the slope. What is the acceleration of A if A is initially (a) at rest, (b) moving up the incline, and (c) moving down the incline

Homework Equations



fs=usFn
Fk=ukFN
a=v^2/R

The Attempt at a Solution


I am so confused on this problem i dot even know where to start but I know part a is 0!
 
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Here is the diagram
 

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Let's start with by drawing a free-body diagram for each mass.
Mass A has a force downward to center of Earth equal to its weight, the string that pulls it and third the friction that will appose the motion of the mass.
Mass B has 2 forces acting on it. Its weight and the string that pull up.

Remember if there is the net forces(ƩF≠0) on each mass then there's acceleration as in Newton's First Law.
Fnet=ma
 

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