1. Ladder in Static Equilibrium: A uniform ladder of mass M and length L is being used to paint your house. You rest the ladder against the frictionless front wall of your home, at an angle , from the horizontal. The coefficient of static friction between the grass in your lawn and the base of the ladder is given as . Draw a free body diagram for the ladder. What is the maximum value of  for which the ladder remains in equilibrium?

Angular Momentum:

1. Lisa is standing at the center of a large horizontal turntable in a carnival funhouse. The turntable is set rotating on frictionless bearings, and it rotates freely (that it, there is no motor driving the turntable). Lisa begins to walk toward the edge of the turntable. As Lisa walks toward the edge of the turntable, what happens to the combined angular momentum of Lisa and the turntable? What happened to the rotation speed of the turntable? Explain.

2. A student is sitting on a frictionless rotating stool with her arms outstretched as she holds equal heavy weights in each hand. If she suddenly let's go of the weights, will her angular speed increase, decrease, or stay the same? Explain.