A 300-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.30.What minimum angle can the ladder make with the floor before it slips?
A) 85°
B) 73°
C) 17°
D) 59°
E) 9°

Question

A 300-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.30.What minimum angle can the ladder make with the floor before it slips?
A) 85°
B) 73°
C) 17°
D) 59°
E) ​9°

Quizplus · Accepted Answer

The minimum angle can be found using the formula for static friction and the conditions for equilibrium. The frictional force must equal the component of the ladder's weight parallel to the floor. Using trigonometry and the given coefficient of static friction, the minimum angle is calculated to be approximately 59°.

A 300-N Uniform Ladder,8