A force of 1500 N (pull) is applied to a 200-kg crate at an angle of 20 degrees above horizontal. The coefficient of static friction is .65 and the coefficient of kinetic friction is .43. Does the crate move? If so, what is its acceleration?

Answer 1

first, does the horizontal pulling cause motion:
pulling force - retarding force=
1500cos20-.65(mg-1500sin30)=
so figure that out.
Next, if it is greater then zero, then
pulling force-movingretardingforce=ma

1500cos20-.43(mg-1500sin30)=ma
solve for a.