Show equivalence of two versions of angular momentum equations by vector math.
I need to show that the following two terms are equivalent: l = m(r2I – rr)∙ω l = r x mv = r x m(ω x r) where r is the position vector from the origin to the particle l is the angular momentum I is the identity tensor ω is the vector angular velocity x indicates a cross product rr is a dya ...continues
Force and Opposing Force : Find maximum speed attained and distance travelled.
A particle of mass 10kg, moving in a straight line, starts at rest from a point A under the action of a force that decreases uniformly from 20N to zero in 20 secs. It then travels with a constant speed for a further 20s, and finally moves under the action of an opposing force of 40N until it comes to rest at B. Find the maximum ...continues
Vector Spaces : Simplifying Expressions and Index Notation
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Vector Spaces : Direct Tensor Notation
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Dyads and Tensor Vector Transformations
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Tensors, Basis and Volume Orientation Function
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Tensors, Eigenvectors, Eigenvalues and Polar Decomposition
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Tensor and Indicial Notation and Hooke's Law : Stress as a Function of Strain
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Continuum Mechanics : Tensor Components and Basis
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