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Jun 21 2014 05:56pm
physics is kicking my ass i should not have taken it during summer.

anyways this is the question:

a block slides down a ramp with uniform speed of 1m/s. the ramp has an incline of 16 degrees. what is the coefficient of kinetic friction between the block and the ramp surface.

only equasion i have seen for this is Ffk = Uk Fn (the U is mew or however you spell it)
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Jun 21 2014 08:04pm
uniform means there is no acceleration
no acceleration means balanced forces
force friction = force from weight
frictional force = normal force * coefficient of friction
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Jun 21 2014 09:04pm
Are you given the mass of the block?
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Jun 21 2014 09:24pm
Quote (nlin @ Jun 22 2014 03:04am)
Are you given the mass of the block?


nope, ill look into it more after i finish up the other problems but i have no idea what to do with this one
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Jun 22 2014 12:15pm
Uniform speed means no acceleration
No acceleration means net force of 0
If you do a force body diagram you can form the equation

u(coefficient) * N = mg (sin 16)
u(coefficient) * (mg cos 16) = mg (sin 16)
u(coefficient) = sin 16 / cos 16
= 0.2867
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Jun 22 2014 02:38pm
Drew a beautiful paint diagram




I break up the force due to gravity into two components: (right half of the image)

F(x) = mg sin theta
F(y) = mg cos theta

Memorizing these simplified every incline plane problem for me


As everyone has mentioned, Uniform speed means no acceleration
a = 0

Sum of forces = ma
Sum of forces = 0

F(x) - F(fr) = 0
F(x) = F(fr)

you know that F(fr) = mu(Fn)

F(x) = mu(Fn)
mg sin theta = mu(Fn)
Mu = (mg sin theta) / (Fn)
Mu = (mg sin theta) / (mg cos theta)
Mu = sin 16 / cos 16
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Jun 23 2014 08:52pm
Quote (nlin @ Jun 22 2014 08:38pm)
Drew a beautiful paint diagram

http://i.imgur.com/qEdE23P.png


I break up the force due to gravity into two components: (right half of the image)

F(x) = mg sin theta
F(y) = mg cos theta

Memorizing these simplified every incline plane problem for me


As everyone has mentioned, Uniform speed means no acceleration
a = 0

Sum of forces = ma
Sum of forces = 0

F(x) - F(fr) = 0
F(x) = F(fr)

you know that F(fr) = mu(Fn)

F(x) = mu(Fn)
mg sin theta = mu(Fn)
Mu = (mg sin theta) / (Fn)
Mu = (mg sin theta) / (mg cos theta)
Mu = sin 16 / cos 16


thank you very much for this.
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Jun 23 2014 10:23pm
Quote (nlin @ Jun 22 2014 12:38pm)
Drew a beautiful paint diagram

http://i.imgur.com/qEdE23P.png


I break up the force due to gravity into two components: (right half of the image)

F(x) = mg sin theta
F(y) = mg cos theta

Memorizing these simplified every incline plane problem for me


As everyone has mentioned, Uniform speed means no acceleration
a = 0

Sum of forces = ma
Sum of forces = 0

F(x) - F(fr) = 0
F(x) = F(fr)

you know that F(fr) = mu(Fn)

F(x) = mu(Fn)
mg sin theta = mu(Fn)
Mu = (mg sin theta) / (Fn)
Mu = (mg sin theta) / (mg cos theta)
Mu = sin 16 / cos 16
















In this step I substituted (mg cos theta) or the Fy component of gravity. I got this from Sum of forces in the Y direction (because the box isn't moving vertically) = 0

(Again, the box is not moving or accelerating in the Y direction so a = 0)

In the second picture imagine the Normal Force is drawn in (normal force always perpendicular to plane)

So then F(n) - F(y) = 0
F(n) = F(y)


I thought it was "obvious" at the time but even I missed it, until you told me you weren't given the box mass lol.

Hope it was helpful!

This post was edited by nlin on Jun 23 2014 10:24pm
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