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what we wanna do here is to write its movement equations, using newton's laws or lagranigian.by move ment we mean writing the equations if a) a force F acts on the body on a surface that is fri?ction-free b) part a, this time with friction. how will the body move? and how can we describe it better

I have solved lots of mechanics problems before, but for this one, I dont know where to start, and how to relate its center of mass to the whole body. should I involve moment of inertia in my equations?