Atlantic Posted January 18, 2004 Posted January 18, 2004 I am analyzing an object sliding down a hill. I have the gravitational potential energy, gravitational force, Net Force (moving down the hill), acceleration, mass, normal force (on sloped surfaces, that is on the "Y" axis.....i think). How do i find out the force due to friction. Right now all I did was subtract the net force from force due to gravity(mg=F), and got a number. Is that number the force due to friction, if not, how can i find it. Thanks in advance.
Neurocomp2003 Posted January 18, 2004 Posted January 18, 2004 your way is not correct becuase your forces are not aligned you can do this with Energy equations however but not forces becasue forces are vectors and rely on alignment ok your gonna be setting up a "FORCE" Diagram or whatever it is called the mass/gravity FOrce points down, F_g the normal Force perpendicular to motion (perd. to incline) F_n the friction Force parallel to incline going up. F_f and if there was an initial force/acc/velo. F_i set your diagrm up with these for diagrams and use your knowledge of trigonometry(cos/sin) to align these force you'll end up with 2 equations. THe best alignment is to align with respect to X,Y axis but you can also align with incline/normal axis if you choose
Atlantic Posted January 18, 2004 Author Posted January 18, 2004 F_n = F_g cos(theta) theta is the elevation of the hill bottom>up. The equation i know for sure works, but i don't know if i can use it on finding friction. Can it? Here is the picture i did in pain, lets you see what i'm thinking........... attachment
JaKiri Posted January 19, 2004 Posted January 19, 2004 Friction = :mu:mgcos:lctheta: Friction is defined as having a maximum of the reaction force ('R') multiplied by the coefficient of friction (':mu:') The normal reaction (ie the force perpendicular to the plane) will be equal and opposite to the component of gravity in that plane (obviously; the object doesn't fly off the plane, or through it, so there must be no resultant force). R = mgcos:lctheta: (a simple way to remember wheterh it's sin or cos is to decrease the angle to 0, and if the multiple you'd get is 0 it'll be sin, 1 it'll be cos). FR = :mu:R = :mu: mg cos :lctheta:, as above.
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