# 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 # 2 N#, what is the minimum coefficient of static friction needed for the object to remain put?

##### 1 Answer

Apr 21, 2016

Lets consider the total force on the object:

#2N# up the slant.#mgsin(pi/12) ~~ 12.68 N# downwards.

Hence the total force is

Now the force of friction is given as

so

Note, had there not been the extra force,