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Alan is using the equation mg sin A = umg cos A to determine the coefficient of friction, u, between a flat rock and a metal ramp. Find u to the nearest hundredth, if the rock begins to slide at 19º.

 Oct 13, 2014

Best Answer 

 #1
avatar+23254 
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If you start with mg sin(A) = umg cos(A)

and divide both sides by mg, you get  sin(A)  = ucos(A)

Divide both sides by cos(A) to get  tan(A) = u

If you enter 19° for A:  u = tan(19) -->  u = 0.34

At least, that's the math; I'm not so sure about the physics.

 Oct 13, 2014
 #1
avatar+23254 
+5
Best Answer

If you start with mg sin(A) = umg cos(A)

and divide both sides by mg, you get  sin(A)  = ucos(A)

Divide both sides by cos(A) to get  tan(A) = u

If you enter 19° for A:  u = tan(19) -->  u = 0.34

At least, that's the math; I'm not so sure about the physics.

geno3141 Oct 13, 2014

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