Coefficient of friction of a ramp

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Homework Help Overview

The problem involves two ramps at a 30-degree angle, one frictionless and the other with friction. A student pushes blocks up both ramps with the same initial velocity, and the block on the ramp with friction travels a shorter distance before stopping. The goal is to determine the coefficient of friction for the ramp with friction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conditions of the problem, including the need for clarification on whether the blocks are identical. There is an exploration of the equations of motion and forces acting on the blocks, particularly focusing on the retardation due to gravity and friction.

Discussion Status

Some participants have provided guidance on how to approach the problem, including setting up equations based on the forces involved. There is an acknowledgment of the need to find the coefficient of friction, and the discussion appears to be moving towards formulating a solution without reaching a consensus yet.

Contextual Notes

Participants note that the problem was initially incomplete, lacking the explicit requirement to find the coefficient of friction. There may be assumptions regarding the identity of the blocks and the nature of the forces acting on them that are still under discussion.

maladroit
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Homework Statement



A student has two ramps, both of which are at an angle of 30o. Ramp 1 is frictionless and ramp 2 has friction. The student also has two blocks, one for each ramp. She pushes the blocks up the ramps with the same initial velocity. The block on ramp 2 only travels a fraction f = 0.625 as far as the block on ramp 1 before coming to a stop (i.e. d2 = 0.625*d1) .

Homework Equations



Ff=[tex]\mu[/tex]Fn
v2^2-v1^2=2ad


The Attempt at a Solution



I am way stuck on this!
 
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Hi maladroit, welcome to PF.
While posting any problem, state it completely as it is given in the home work.
In the above problem what is required? Are the two blocks identical?
 
That is exactly as the problem is written, the only thing I forgot to include was that we are looking for the coefficient of friction. Sorry about that!
 
In the ramp 1, the retardation is g*sinθ.
Initial velocity is v and the final velocity is zero. So
v^2 = 2*g*sinθ*d
In the second case, the normal reaction is mgcosθ and frictional force = μmgcosθ.
So the net retardation is (g*sinθ + μgcosθ)
Now write down the expression for v^2 and solve for μ.
 
Thank you so much for the help!
 

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