Limiting equilibrium means #ma=0# In #F-f=ma# ?

1 Answer
May 12, 2018

yes

Explanation:

In the case of limiting friction the body moves with uniform

velocity

therefore the net force must be zero and that leads to zero acceleration.

the example is a body kept on an incline ...

the net force along the incline ( at an angle # theta# from the horizontal ) is

# mg. sin (theta) # moving the body downward.

whereas the force of friction f is opposing this tendency

but f the frictional force has a limit which it can not exceed.

therefore # f = m.g. sin (theta) # or

#mg sin (theta) -f # = 0

therefore m.a =0