## Friction Force

Here is the problem i am having trouble with. Thanks in advance for any help.

A dancer is standing on one leg on a drawbridge that is about to open. The coefficients of static and kinetic friction between the drawbridge and the dancer's foot are and , respectively. represents the normal force exerted on the dancer by the bridge, and represents the gravitational force exerted on the dancer

1st Part:

The drawbridge then starts to rise and the dancer continues to stand on one leg. The drawbridge stops just at the point where the dancer is on the verge of slipping. What is the magnitude of the frictional force now?

Express your answer in terms of some or all of the variables , , and/or . The angle should not appear in your answer.

2nd Part:

Then, because the bridge is old and poorly designed, it falls a little bit and then jerks. This causes the person to start to slide down the bridge at a constant speed. What is the magnitude of the frictional force now?
Express your answer in terms of some or all of the variables , , and/or . The angle should not appear in your answer.