Kinetic friction and acceleration

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Homework Help Overview

The problem involves calculating the acceleration of a 1.2 kg block on a table, considering the coefficient of kinetic friction. The original poster presents equations related to forces acting on the block and attempts to derive an expression for acceleration.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use free body diagrams and equations of motion to analyze the forces acting on the block. They express concern about a potential error in their algebra while combining equations.

Discussion Status

Some participants provide feedback on the original poster's equations, with one confirming the validity of the combined equation and suggesting to solve for acceleration. The original poster acknowledges an algebraic mistake and expresses gratitude for the assistance.

Contextual Notes

The discussion reflects a collaborative effort to clarify the setup and calculations involved in the problem, with no explicit consensus reached on the final solution.

pumpernickel
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Hello everyone, I would appreciate some help with this problem:

The coefficient of kinetic friction between the 1.2 kg block in the figure below and the table is 0.38. What is the acceleration of the 1.2 kg block?

Homework Equations



F=M*A
Fk = μk * N

The Attempt at a Solution



I created freebody diagrams and came up with these

Block A: +T1 - WAE = Ma * a
Block B: + T2 - T1 - fk = Mb * a
Block C: + WCE - T2 = Mc * a

So I combined equations and came up with

WCE - WAE - fk = (Ma * a)+(Mb * a)+(Mc * a)

and fk= μk * N

and I thought it would be .38*1.2*9.8

but I know I am doing something wrong I just don't know what
 

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Looks ok to me...o wait I didn't check your combined equation..stand by...

Yes, looks good! Solve for a .
 
Last edited:
Alright, I redid my algebra and that is where the problem was...I am rather embarrassed! Thank you for your help PhanthomJay.
 
Great, good work, welcome to PF! :approve:
 

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