An object with a mass of #10 kg# is on a plane with an incline of # - pi/4 #. If it takes #12 N# to start pushing the object down the plane and #8 N# to keep pushing it, what are the coefficients of static and kinetic friction?
The minimum force to start pushing will help to overcome the static friction, so we can calculate the static friction from there.
The Gravitational force acting on the block :
Taking components along the incline and perpendicular to the incline,
Since there is no motion perpendicular to the incline, the net force in that direction will be zero.
According to the question, the value of static friction force happens to be 12N.
Now the kinetic friction will be applicable when the body starts to move.
According to the question, the value of static friction force happens to be 8N.