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An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle from the vertical direction, with one end higher than the other, used as an aid for raising or lowering a load. [1] [2] [3] The inclined plane is one of the six classical simple machines defined by Renaissance scientists. Inclined planes are used to move ...
The inclination of orbits of natural or artificial satellites is measured relative to the equatorial plane of the body they orbit, if they orbit sufficiently closely. The equatorial plane is the plane perpendicular to the axis of rotation of the central body. An inclination of 30° could also be described using an angle of 150°.
In classical mechanics, the Udwadia–Kalaba formulation is a method for deriving the equations of motion of a constrained mechanical system. [1] [2] The method was first described by Anatolii Fedorovich Vereshchagin [3] [4] for the particular case of robotic arms, and later generalized to all mechanical systems by Firdaus E. Udwadia and Robert E. Kalaba in 1992. [5]
Screw: A screw is essentially an inclined plane wrapped around a cylinder. The run over the rise of this inclined plane is the mechanical advantage of a screw. [1]
Later Greek philosophers defined the classic five simple machines (excluding the inclined plane) and were able to calculate their (ideal) mechanical advantage. [7] For example, Heron of Alexandria ( c. 10 –75 AD) in his work Mechanics lists five mechanisms that can "set a load in motion": lever , windlass , pulley , wedge , and screw , [ 13 ...
θ = angle of elevation of the plane, measured from the horizontal. The frictionless plane is a concept from the writings of Galileo Galilei. In his 1638 The Two New Sciences, [1] Galileo presented a formula that predicted the motion of an object moving down an inclined plane.
The blade is a compound inclined plane, consisting of two inclined planes placed so that the planes meet at one edge. When the edge where the two planes meet is pushed into a solid or fluid substance, it overcomes the resistance of materials to separate by transferring the force exerted against the material into two opposing forces normal to ...
In this case, the half planes can be described by a point P of their intersection, and three vectors b 0, b 1 and b 2 such that P + b 0, P + b 1 and P + b 2 belong respectively to the intersection line, the first half plane, and the second half plane. The dihedral angle of these two half planes is defined by