A body of mass 5 kg is placed on a rough horizontal surface. if coefficient of friction is 1/√3 find what pulling force should act on the body at an angle 30 degree to the horizontal so that the body just begins to move?
1 Answer
Explanation:
I'll assume the given coefficient is that of static friction.
The maximum horizontal force
where
-
#mu_s# is the coefficient of static friction (#1/sqrt3# ) -
#n# is the magnitude of the normal force
To find this, we recognize that the pulling force makes a
The net vertical force
Rearranging:
From the first equation:
So, setting the two equations for
So,
Method 1 was more of an indirect solution; we can also find
Thus,
Knowing that