Coefficient of kinetic friction, need today

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Homework Help Overview

The discussion revolves around calculating the coefficient of kinetic friction for a system involving two blocks on inclined planes, with given masses and acceleration. The original poster seeks assistance with the calculations and has encountered discrepancies in their results.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the coefficient of kinetic friction using a derived formula but receives feedback indicating their answer is significantly off. They also attempt to find the tension in the string connecting the two masses. Other participants question the equations of motion used and suggest that additional forces, such as tension, need to be considered in the analysis.

Discussion Status

Participants are actively engaging with the original poster's attempts, providing insights into the equations of motion and highlighting the need for a more comprehensive approach that includes all forces acting on the masses. There is a focus on clarifying the setup and ensuring all relevant forces are accounted for.

Contextual Notes

The original poster has indicated a time constraint, needing assistance by a specific deadline. There is an emphasis on the accuracy of the calculations and the need to reconcile the differences between their results and the expected answers.

an9890
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coefficient of kinetic friction, URGENT need today

The system shown in the figure below has an acceleration of magnitude 0.51 m/s2, where m1 =
4.30 kg and m2 = 6.00 kg. Assume that the coefficient of kinetic
friction between block and incline is the same for both inclines.

Link to figure:
http://img9.imageshack.us/img9/3437/figureyh.jpg
m1 is box on the left, m2 is box on the right. both angles are 35 degrees. a) find the coefficient of kinetic friction

Here's what I tried:
coefficient of kinetic friction = (gsinΘ - a) / gcos Θ
and got .63668

when i input my answer in the system said "your answer differs from the correct answer by orders of magnitude."

b) find the tension in the string
T= m1a + m1gsinΘ
= 26.36 N

system said "your answer differs by 10% of correct answer..."Please help. I need this by tonight. Thank you!
 
Last edited by a moderator:
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Let's start with the basics. What equation of motion (i.e. [tex]\Sigma[/tex]F = ma) did you use for each mass?
 


^

(a)
∑ Fx = ma --> mgsinΘ - fk = ma
∑ Fy = 0 --> n - mgcosΘ = 0
n = mgcosΘ
and fk = mukn

so muk = (gsinΘ -a) / gcos Θ
 


∑ Fx = ma --> mgsinΘ - fk = ma

I presume that's for m2. But, you forgot the force of the tension. Also, you need a similar equation for m1. You'll then have two equations in two unknowns (T and mu) that can be solved by substitution.
 
Last edited:

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