Classical Dynamics of Particles and Systems (5th Edition)

Chapter 1

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; A certain coordinate system can be generated ... more

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Consider a vector in space. Find its projection on... more

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; Vectors that have a unit length and are used to... more

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Consider a two dimensional orthogonal ... more

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The length of this line segment in coordinate ... more

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, , , .For the diagonal vectors the value of ... more

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Consider the scalar product of the vectors as  ... more

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First define the vector product using the ... more

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Distance of the plane from the origin is . Area of... more

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; The vector product of two vectors and can be... more

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; A matrix that is obtained by interchanging rows... more

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The surface represented is a plane perpendicular ... more

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Expand the given product,using the definition of ... more

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Draw a triangle ABC whose sides represent one of ... more

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First use the definition of cross product to ... more

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First define the vector product and using the ... more

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First, describe the triple vector product by using... more

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; Spherical polar coordinate system: It is a ... more

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Using the following property of vector triple ... more

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Define the position vector ,   And its magnitude ... more

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; Gradient is a vector differential operator ... more

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Operate the gradient function on the prodcut of ... more

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Differentiate as well as with respect to time ... more

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Since differentiation and integration cancel out ... more

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; Integration: It is a mathematical technique ... more

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First, find the volume of the cylinder in the ... more

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; Gradient is a vector differential operator ... more

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, ; Vector is given as: where , and are the ... more

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; Stoke’s theorem: It relates the surface ... more

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0,1 ; The result of the scalar or dot product of ... more

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