The stability of such motion is investigated when the body rotates at constant angular velocity around the vertical, while its centre of mass moves between collisions on a parabola or along a fixed vertical line coinciding with the axis of rotation of the body. Stability conditions are obtained ...
Preceding to this transition, the solution exhibits a partial symmetry breaking at Ra = 550; a loss of symmetry with respect to the diagonals in each horizontal plane. In these steady state flows, the rising and sinking motion near the lower and upper boundaries shifts slightly to off-diagonal...
The graph of f(x) = x^2 has been shifted into the form f(x) = (x - h)^2 + k: A parabola with the vertex (4, 1), what is the value of k? What are the symmetry elements present in a plot of the function F(phi) =...
Determine whether the statement is true or false. If the vertex and focus of a parabola are on a horizontal line, then the directrix of the parabola is vertical. Determine whether the statement is true or false. In the polar coordinate s...
A tangent line to a parabola intersects the parabola only once. If the domain of f(x) is (negative infinity, infinity) and f''(x) = x^2, f(x) has an inflection point at x = 0. a. True b. False Determine whether the statement is t...
By using the symmetry of the model, the subsoil resistance moment under the rotational displacement of the bearing plate can be obtained by integrating the subsoil resistance on the plate surface: 𝑀(𝜑)=4∫𝐷/2𝑑/2∫π/20𝑝𝑟2sin𝜃d𝜃d𝑟=𝑚ℎ(𝐷3−𝑑3)6𝐴−...