Answer:
The minimum angle that the ladder make with the floor before it slips is 51.34 Degree.
Given data:
The weight of ladder is, W = 100 N.
The length of ladder is, L = 8.0 m.
The coefficient of static friction between ladder and floor is, .
Apply the Newton' law in vertical direction to obtain the value of Normal Force (P) as,
And force along the horizontal direction is,
1st Picture down
Now, taking the torque along the either end of ladder as,
2nd Picture Down
Solving as,
3rd Picture Down
Thus, we can conclude that the minimum angle that the ladder make with the floor before it slips is 51.34 Degree.
