How Do You Calculate the Coefficient of Kinetic Friction on an Incline?

AI Thread Summary
To calculate the coefficient of kinetic friction on an incline, a 3kg block sliding down a 30-degree incline was analyzed. The acceleration of the block was determined to be 1.778 m/s² using the equation of motion. Two methods were attempted to find the coefficient of kinetic friction, yielding different results: one method suggested a coefficient of 0.577, while the other calculated it as 0.372. The discussion concluded that the first method is incorrect because it improperly equates the force of friction to the component of gravitational force along the incline. It was clarified that the relationship u = tan(x) is only valid when the net force equals zero.
aeroengphys
Messages
21
Reaction score
0
A 3kg block starts at the top of a 30 degree incline and slides 2m down the incline in 1.5 seconds.
a) Find acceleration of the block.
b) Find the coefficient of kinetic friction between the blcok and the incline.

For a) x = vot + 1/2at^2 --> a = 1.778m/s^2
For b) *here's where I'm having some problems*
I tried doing it two different ways and i get two different answers.

Way 1:
Ff = uFn
Ff/Fn = u
mgsinx/mgcosx=u
tanx=u
u = .577

Way 2:
ΣF=ma
mgsinx - umgcosx = ma
gsinx - ugcosx =a
a-gsinx/-gcosx = u
(1.778m/s^2 - 5m/s^2)/-(10*cos30) = u
u = .372

which way is wrong?
 
Physics news on Phys.org
So after reviewing what i typed in, i think that you can only use u = tanx when ΣF=0, is my assumption correct?
 
Way 1 is wrong, since the force of friction does not equal mgsinx.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top