Recent content by ZachGriffin

Thanks very much for the response. The issue with distinguishing between small and large rotations shouldn't be an issue as I'm integrating the simulation at 3000hz and dealing with a vehicle system. I'll try and work the example below using your technique. If for example, we have two...

Hi All, I have a rigidbody simulation and I'm trying to calculate the local angular velocity of the object using the derivative of it's orthogonal rotation matrix. This is where I'm stuck as I haven't been able to find an example on calculating the time derivative from two matrices at t=n and...

I'm trying to work out a formula to calculate the amount of torque lost in a two gear system due to the acceleration the second gear. I'm assuming there is nothing lost to friction etc For example, If I have two gears, G1 and G2, with respective inertia's of 2 and 4. G1 has 10 teeth and G2...

Hi Guys, I've written a clutch model for my simulation based off a few papers I've read which basically deal with it as a state machine; that is there are two separate equations to integrate the motion when it is either locked or slipping. I'm interested to find out if this can be dealt with...

Ok thanks. So assuming I use the x component for the equation I still have two unknowns being Vf and P1.x. Do I need another equation to work out what P1 is?

Thanks for responding slider. When I expand it out, I have something like this: k = \sqrt{} (A.xCos(t) + B.xSin(t))^{2} + (A.yCos(t) + B.ySin(t))^{2} + (A.zCos(t) + B.zSin(t))^{2} Is there a way to simplify it because A and B are 3D vectors? I can use the Rcos(x-alpha) like you suggested...

Can anyone help here or point me in the right direction? I'm really stuck with this and it doesn't matter which theorem I apply, I still end up with 3 instances of x on the same side of the equation.

I've attached the excerpt anyway:

Hey guys, So I've actually learned a fair bit about trig identities the last few weeks and beginning to understand how they actually work thanks to Irrational, Mute and some prompting from Hurkyl. I'm still having trouble with transposing which I think should be fairly simple. The equation...

A bit more searching I've come across this: a sin x + b cos x = R sin (x + alpha) which is an R Formulae with R = Sqrt(a^2 + b^2) and alpha = atan(b / a). If I use that I should be able to solve for x. Having a look at Mute's post, what should I be looking for? It's been a few years since...

Suppose I was to change the equation to Y = a sin(x) + b cos(x). How would I transpose it to make x the subject? I've searched through identities on that site but can't find one that relates to having 2 different coefficients a and b.

Thanks very much for that. Anyone looking for the rules for this, I've found them on http://math2.org/math/trig/identities.htm sin(2x) = 2 sin x cos x sin^2(x) = 1/2 - 1/2 cos(2x) cos^2(x) = 1/2 + 1/2 cos(2x)

that is meant to be divided by 2

Hi Guys, Simple question; I'm trying to work out the transpose of Y = Sin(x) + Cos(x) to make x the subject. I thought it would be x = arccos(arcsin(y)) / 2 however I don't think that's right. Is there another theorem I'm missing?

I'm currently writing a vehicle simulator and have constructed a chassis out of physical node bodies that are connected as in the screenshot below. I am trying to work out the normal force at each of the green circles such that if it were suspended by each of the four nodes, the summation of the...