I have to show that the parametric equations of a trochoid are: x = rθ − d sin θ x = r θ d sin θ and y = r − d cos θ y = r d cos θ where r is radius and d is the distance between center of the circle …

Feb 20, 2016 · Cartesian equation of a trochoid Ask Question Asked 9 years, 10 months ago Modified 9 years, 10 months ago

In order to mirror the curve (across the x axis) into a whole tooth, I'm rotating the trochoid by pi/N radians and the involute by half a tooth (pi/2N) + the angle to the involute curve at the pitch …

I've gotten interested in describing a circle rolling on an ellipse; specifically, the curve traced out by a point on the circumference of the circle. I want a symbolic solution to the general case,

Mar 17, 2019 · Writing y value of Curtate Trochoid in the function of x? Ask Question Asked 6 years, 8 months ago Modified 6 years, 8 months ago

I did a few animations of the "parabolic trochoid" back in the day (both for the case of the circle rolling inside and outside the parabola); when I get to see my Mathematica notebooks again, …

Sep 28, 2017 · Area of trochoid and it's tangent line Ask Question Asked 7 years, 10 months ago Modified 7 years, 10 months ago

We can make a little progress by equating the x2 +y2 x 2 + y 2 expressions for each curve's parameterization, which conveniently gives an algebraic relation between θ θ and γ γ. …

Jul 18, 2018 · Arc length of a trochoid Ask Question Asked 7 years, 5 months ago Modified 7 years, 5 months ago

I just realized something. The surface of water waves forms a trochoid, but a trochoid is not a function - at least a prolate trochoid is not, since it loops back on itself.