Finding the coefficient of friction of a block on a table

AI Thread Summary
To find the coefficient of kinetic friction between block A and the table, it is essential to recognize that both blocks are in dynamic equilibrium, meaning their velocities are constant and net forces are zero. The tension in the rope connecting the two blocks can be derived from the forces acting on each block. By equating the expressions for tension from both blocks, the coefficient of friction can be expressed in terms of the weights of the blocks and gravity. The final solution indicates that the coefficient of friction is the weight of block B divided by the weight of block A. Understanding the dynamics and drawing a free body diagram are crucial steps in solving this problem effectively.
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Homework Statement


Block A is on a table and is connected by a pulley to block B.
Block A has weight Wa and block B has weight Wb. Once block B is set into downward motion, it descends at a constant speed. Assume that the mass and friction of the pulley are negligible.

Calculate the coefficient of kinetic friction between block A and the table top.
Express your answer in terms of some or all of the variables Wa , Wb, and g (the acceleration due to gravity).

Homework Equations


fk=\mukn

I have gotten this hint (mastering physics problem):

In this problem, blocks A and B are in dynamic equilibrium; their velocities are constant. This means that the net force on each,F net , is equal to zero.

The tension is constant throughout the rope. By setting the sum of the forces acting on both blocks A and B equal to zero, you should be able to obtain two different expressions for the tension in the rope. Set these equal to each other and solve for \mu.


The Attempt at a Solution


I really don't know how to go about starting this. I know the equation above but don't know what to do with it. I feel like I need to know the acceleration. How would I find the tension?

Please help! Thanks!
 
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ssj2pizza said:
I really don't know how to go about starting this. I know the equation above but don't know what to do with it.

You don't know what to do with it? :eek: Haven't you ever seen a free body diagram? Don't you think it would be a good idea to draw one?

I feel like I need to know the acceleration.

You DO know the acceleration! In your very own words:

...it descends at a constant speed[/color]...

and

I have gotten this hint (mastering physics problem):

In this problem, blocks A and B are in dynamic equilibrium; their velocities are constant[/color].
 
Ok so their accelerations were equal to zero and their net forces were also equal to zero. Thanks about the free boday diagram (duh). Well i figured out the answer. It ended up being the weight of block b divided by the weight of block a. I have tried looking in my book and looking through my notes but there were no examples for finding the coefficient of friction. (frustrating)
 
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