A 100-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.40.What minimum angle can the ladder make with the floor before it slips?
A)22 $\degree$
B)51 $\degree$
C)18 $\degree$
D)42 $\degree$

Question

Quizplus · Accepted Answer

The minimum angle can be found using the formula for static friction and the forces acting on the ladder. The ladder will slip when the torque due to the weight of the ladder about the base is equal to the torque due to the frictional force. Using the given coefficient of static friction (0.40), the minimum angle is calculated to be approximately 51 degrees.

A 100-N Uniform Ladder,8 °\degree° B)51 °\degree° C)18 °\degree° D)42 °\degree°

A 100-N Uniform Ladder,8 $\degree$ B)51 $\degree$ C)18 $\degree$ D)42 $\degree$