An object with a mass of #5 kg# is on a ramp at an incline of #pi/12 #. If the object is being pushed up the ramp with a force of # 8 N#, what is the minimum coefficient of static friction needed for the object to remain put?

1 Answer
Dec 29, 2015

Answer:

The minimum coefficient of static friction needed is #0.07#.

Explanation:

You have to visualize the force's diagram of the object.
Assuming the sistem with #x# on the surface of ramp and #y# on the normal of surface.
There is the orizontal component that is #F(x)=|8N-(mgsin15°)|=4.7N#
If the object remains "put": Friction Force=F(x)
#F(f)=CF(y)=C(mgcos15°)=4.7N#
and #C=4.7/66.33=0.07#.