question about momentsWatch
I wouldn't attempt to answer that.
It may be covered in later mechanics modules, specifically dealing with moments of inertia, and angular momentum. Or it may be left to uni.
I know there is a rule that an object which is in equilbrium has moments balanced about all points. However, for the object with a force through its centre of mass this is not the case. Therefore for moments to be balanced around every point the object must be in translational and rotational equilbrium. Correct? So at my level, Sixth form, usually we know an object is in equilibrium so we can deduce things about forces as moments are balanced. My question is, what happens if an object is not in equilbrium. What then can the moments equations tell us. Or indeed what can we deduce from moments equations about an objects motion- rotation and translation?
The translational part is straight forward, we just apply F=ma in its vector form, where the acceleration refers to the acceleration of the centre of mass.
The rotational part isn't that difficult for simple shapes, from what I remember - perhaps restricting it to two dimensions.
The translational part and the rotation parts are treated separately, IF I recall correctly, but it really is a long time since I looked at this.