.: A 5.0 kg block is moving with constant velocity down a rough incline plane. The coefficients of static and kinetic friction between the block and the incline are 0.25 and 0.20, respectively. What is the inclination angle of the incline plane?

4 answers

gravity down the plane: mgSinTheta
normal to the plane weight: mgCosTheta

constant velocity, no acceleration...

net force=ma=0
mgSinTheta-mu*mgCosTheta=0

divide both sides by CosTheta
mgTanTheta=mu*mg
theta=arctan mu
of course, mu is the kinetic coefficent.
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