A crate of mass 100.0 kg rests on a rough surface inclined at anangle of 37.0° with the horizontal. A massless rope to which aforce can be applied parallel to the surface is attached to thecrate and leads to the top of the incline. In its present state,the crate is just ready to slip and start to move down the plane.The coefficient of friction is 80% of that for the static case
a.    What is the coefficient of staticfriction?
b.    What is the maximum force that can beapplied upward along the plane on the rope and not move theblock?
c.     With a slightly greater appliedforce, the block will slide up the plane. Once it begins to move,what is its acceleration and what reduced force is necessary tokeep it moving upward at constant speed?
d.    If the block is given a slight nudgeto get it started down the plane, what will be its acceleration inthat direction?
e.    Once the block begins to slidedownward, what upward force on the rope is required to keep theblock from accelerating downward?
