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Half-space Method
Solid representation is based fundamentally on the notion that a physical object divides an n-dimensional space En into two regions: interior and exterior, separated by object boundaries. In terms of above notion, a solid model of an object is defined mathematically as a point set S in 3-D Euclidean space (E3).
Suppose a surface divides the whole of three-dimensional space into two distinct regions. Each such region is called a "half-space". This does NOT imply that they are equal in volume. One possible surface is the sphere denoted by the equation
X * X + Y * Y + Z * Z = 1
(a) Illustrate Torsionally Equivalent shaft. (b) Determine the natural frequencies and mode shapes for the system shown in figure I 1 = 10 Kg -m 2 I 2 = 40 Kg -m 2
A long hollow cylinder has outer and inner radii 150 mm and 50mm respectively. It create heat at a rate of 1kW/m³ (k= 0.5 W/m ºC). If the maximum temperature obtain at radius of 10
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Torsion equation derivation
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