I was trying to figure out the acceleration to a body on a tilted axis. Is it the same as if the body were on a hill? or would it be more like a free object have to rotate, so the inertia would just be mv? Assuming a short time interval, so the change in direction due to reaching the end of the arc doesn't affect the velocity...

So the vertical acceleration would be something like sin(angle from vertical) * g? and the acceleration around the axis would be cos(angle)?

Well that's just part of the problem...really I want to compute how much force the body has if the top of the axis of tilt is rotated in a circle.

So here's a sketch of the model...

A is the length of the axis from the pivot on the ground plane to the circle to rotate around.

B is the length of the arm that the mass (m) is attached to.

c represents the center of mass which is actually at length B from the axis.

r is the radius that the top of the axis moves through.

the arm the mass is on is 90 degree angle from the axel.

at some time T, the end of A moves around the circle in an angle(da)... from equilibrium this causes the mass (m) to move up. This is (sin(da) * B * r / A) (the angle must be less than 90 degrees... and really it's a continuous process so I'm sure some sort of limit integral should be used)... Hmm maybe there's two lengths tA (top A) and bA (bottom A) which is above and below the arm...

How much force is required to move A?

How much torque results on the axis A?

Does the speed matter? Like say A goes around the circle at 30RPM?

assume that the circle at the top is constrained by something, so disregard required force to keep the axis within the circle R

Edit: Maybe it's not torque I seek, more like... power; like a free spinning flywheel has a lot of torque but no horsepower... am more interested in the power of the falling mass (rotating mass)

I started to do a spreadsheet to get an idea of how far it moves (needs to move)