3 Three uniform small spheres A, B and C have equal radii and masses 3m, m and m respectively. The spheres are at rest in a straight line on a smooth horizontal surface, with B between A and C. The coefficient of restitution between each pair of spheres is e. Sphere A is projected...
3 Three uniform small spheres A, B and C have equal radii and masses 5m, 5m and 3m respectively.The spheres are at rest on a smooth horizontal surface, in a straight line, with B between A and C.The coefficient of restitution between each pair of spheres is e. Sphere A is projected...
The volumes of cylinders, cones, and spheres are related to each other. When a cylinder and a cone have equal radii and heights,Vcylinder=3Vcone. The relation between the volumes of a cylinder and sphere isVsphere=23Vcylinder. Finally, if a cylinder, cone, and sphere have the same radii...
A maximum number of spheres of different radii should be placed such that the spheres do not overlap and their centers fulfill a quasi-containment condition. The latter allows the spheres to lie partially outside the given cuboidal container. Moreover, specified ratios between the placed spheres o...
5 Two uniform small smooth spheres A and B, of equal radii, have masses 2 m and m respectively. They lie at rest on a smooth horizontal plan e. Sphere A is projected directly towards B with speed u. After the collision B goes on to collide directly with a fixed smooth vertical barrie...
It is found that the capillary attraction and maximum liquid bridge volume increases as the contact angle decreases and, also, as the radius of the bottom sphere increases. The effects that changing the bridge volume, sphere radii, and contact angle have on the capillary force, the maximum ...
Densest Packing of Equal Spheres in Hyperbolic Space ∗ We propose a method to analyze the density of packings of spheres of fixed radius in the hyperbolic space of any dimension m ≥ 2, and prove that for all but countably many radii, optimally dense packings must have low symmetry. 1...
摘要: Surface phonon polariton mediated radiative transfer between two spheres of equal radii R and minimum gap d has been shown to scale as R/d as d/R → 0. A modified form of the proximity approximation to predict near-field radiative transfer between two spheres has also been discussed....
This could be attributed to the fact that the radius of spheres in simulations is relatively smaller, leading to fewer random dislocation. Additionally, as revealed by simulations, the width of strips and pitch of the patterns remain almost the same when the radii of the template spheres (R) ...
The two rigid spheres of radii are aj, j = 1, 1, and suppose that a2(a2 > a1). The influence by a magnetic field, axially oscillated inside an endless fluid flow of Stokes, suggests that the two hard spheres vibrate with respective amplitudes U1 and U2 going with the associating line...