So , I broke down the meaning of this equation and have got stuck at one point.
I have not done rotational mechanics and have started with centre of mass newly .Getting a bit confused here with this new equation.
Let us say say we have a bar if length L , Now take a small segment dx in it.
We know mass per unit length = $M/L$.This means if M=10 and L=2. It tells that there are 5 rods or segments of distance 2 metres with mass 2Kg.
If we say say dx as L for a moment.It would mean that M*L that is $10*2$ gives me 2 rods that have mass 10Kg. This meaning gives me 2 new rods.It gives mass of each rod.
Now,with dx =0.1 now. $10/2=5$
5 number of segments of 2m.
Now multiplying them by 0.1 gives 0.5 Kg for dm. Now I sent relate it with what I wrote earlier since M/L and not M.
Does it mean 0.1 distance for a rod of length 2m has mass =0.5kg.
I am not completely sure but please help in understand this.
Please tell me how can I improve the quality of my question if not good.