An object with a mass of #12 kg# is on a plane with an incline of # - pi/6 #. If it takes #6 N# to start pushing the object down the plane and #4 N# to keep pushing it, what are the coefficients of static and kinetic friction?
coefficient of static friction
coefficient of kinetic friction
the incline is making an angle of
the forces operating on the body is the weight m.g vertically
the normal reaction of the plane acting perpendicular to the plane. say R
breaking the weight in components along the plane and
perpendicular to the plane inclined at 30 degree to horizontal
mg. sin30 will act along the plane .
as a force of 6 N is needed to start the motion
so frictional force f s = 6 N + mg sin 30 = 6 N + 120/2 = 66 N
however ,when the body starts moving a force of 4 N is sufficient to maintain the motion , therefore