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Two ladders of lengths a and b lie oppositely across an alley, as shown in the figure. The ladders cross at a height of h above the alley floor. What is the width of the alley? Martin Gardner presents and discusses the problem [1] in his book of mathematical puzzles published in 1979 and cites references to it as early as 1895. The crossed ...
Hertz solved the contact problem in the absence of friction, for a simple geometry (curved surfaces with constant radii of curvature). Carter considered the rolling contact between a cylinder and a plane, as described above. A complete analytical solution is provided for the tangential traction.
The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table.
In mathematics, Jacob's ladder is a surface with infinite genus and two ends. It was named after Jacob's ladder by Étienne Ghys (1995 , Théorème A), because the surface can be constructed as the boundary of a ladder that is infinitely long in both directions.
Requiring the force balance F d = F e and solving for the velocity v gives the terminal velocity v s. Note that since the excess force increases as R 3 and Stokes' drag increases as R , the terminal velocity increases as R 2 and thus varies greatly with particle size as shown below.
Singulair, a popular asthma medication, could be linked to severe side effects, including suicide, a study from the FDA found.
The equation used to model belt friction is, assuming the belt has no mass and its material is a fixed composition: [2] = where is the tension of the pulling side, is the tension of the resisting side, is the static friction coefficient, which has no units, and is the angle, in radians, formed by the first and last spots the belt touches the pulley, with the vertex at the center of the pulley.
Welcome to the new-look postseason, where the path to the national championship begins at campus sites for eight of the 12 teams in the College Football Playoff. Snow showers are forecast to give ...