Calculating Coefficient of Kinetic Friction for Inclined Plane Problem

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SUMMARY

The discussion focuses on calculating the coefficient of kinetic friction for a block sliding down an inclined plane, with an additional plank on top. The problem involves applying Newton's 2nd law to analyze the forces acting on both the block and the plank. The coefficient of kinetic friction is defined as the same between both surfaces, and understanding the direction of friction is crucial for solving the problem. A clear coordinate system is essential for determining the forces involved.

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  • Newton's 2nd Law of Motion
  • Understanding of inclined planes and angles
  • Concept of friction and its directionality
  • Ability to create and interpret free body diagrams
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  • Learn how to construct and analyze free body diagrams for multi-body systems
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Physics students, mechanical engineers, and anyone studying dynamics and friction in inclined plane problems.

SanityMan
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Okay, here is the problem I am working on...

A block of a certain weight(w2) is sliding down an inclined plane at angle theta. There is a plank on top of the block with a certain weight (w2) that is attacked to a cord at the top of the plane so that it does not move.

I need to find the coefficient of kinetic friction in terms of the masses of each block and the angle theta. The coeffecient is the same between both surface contacts.

I am using Newton's 2nd law and I'm stuck with the friction. In my free body diagram I am not sure which direction the force of friction is going between the block and the plank nor how it affects both.
 
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Since you're trying to figure out directions, hopefully you defined a coordinate system first. After you've done that, think about this: in what direction is the block trying to slide past the plank? Friction always opposes this motion Likewise for the block sliding down the inclined plane.
 
Its better to say that Friction is a force that opposes sliding.
 

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