Im sorry that I don't follow method 1 very well. I understand that the block and wedge are not in an IFR, and that we must make some sort of comparison to something that is in an IFR with itself, and that the relative motion of each the block and wedge can be described. this is obviously the...
First off, I am no master of number theory or modern algebra even. I have only observed said courses, and I have not researched my own opinion enough to give it as fact. That said, this is what I think.
Id watch my wording to prevent myself from saying continuous for irrational x, and say...
I think you want to set up an equality with the difference of expansion lengths of radius of different materials.
try putting 0.01cm on one side, and that has to equal the difference (radius of aluminum) - (radius of brass ring). this is found by using the thermal expansion coefficient and...
um, let's describe it like this. a rod is vertical, and pinned at its midpoint. a spring is attached to its end and a wall or some arbitrary anchor. in my little drawing, the rod appears to be fixed to pivot on its endpoint, but let's assume there is a length above it of equal length, such...
Like Doc Al says, it means that the wheel and pebble are happily in motion together. Carefully explore this problem. Remember that the velocity at the top of the wheel is not V.
also try to graph the motion of the pebble vs the ground, vs the wheel, and the wheel vs the ground. that's how...
I am working on a problem that has a few angles of approach. I am hoping to get at least that right before I waste too much more time. The problem is a slender, uniform, rigid rod is placed to pivot on its center, so that the rotation is taking place at the ends of the rod.
then a spring...
The problem is as follows.
We know the angle of the wedge to the horizontal. Let's say its a given.
We don't know the mass of the wedge or the mass of the block.
The planes are frictionless. The mass rests on a "frictionless table".
There is a force pushing the entire system. The...
at first glance, my thought is to separate the cases into three. first do 3|n, then do 3|n+1 and 3|n+2 . its quite easy to show the specific case of 4,5,6 and show how the compositions break down into threes. its not quite so simple to just give a formula to derive the number of groupings...
I think the relationship between mass and orbital period was an observation first put on paper by kepler. I think that is the fundamental idea that led us to explore the relationships of gravitation, mass, and 4pi.
Does that answer the original question?
I did a problem where I was asked to model a simple cooling graph. No big deal. I got my model and found my constant values by using initial values.
Now comes the sticky part. I am asked to create a model similar to the previous simple cooling problem for a more complex system. Keep in...