Co-Ordinate System
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Show That Plane Polar Unit Vectors Are Orthogonal.
The unit vectors in plane polar co-ordinate system are orthogonal: In a plane polar co-ordinate system, the radial unit vector is and the angular unit vector is [ To know…
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Derive The Expression For The Displacement Of A Particle Moving Along A Curve In A Plane.
Displacement Of a particle moving along a curve in a plane: Let us consider a point A in a two-dimensional Cartesian co-ordinate system, the position of this point can be…
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Derive Expression Of The Radial And Transverse Velocity Of A Particle Moving Along A Curve In A Plane.
Let us consider a point A in a two-dimensional Cartesian co-ordinate system, the position of this point can be described by a specific single vector. This vector is the displacement…
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Derive An Expression For The Radial And Transverse Component Of Acceleration Of A Particle Moving Along A Curve In A Plane.
Let us consider a point A in a two-dimensional Cartesian co-ordinate system, the position of this point can be described by a specific single vector. This vector is the displacement…
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Obtain Expression For The Displacement In Spherical Polar Co-Ordinate System.
Displacement in spherical polar co-ordinate system: Let us consider a point A in a three-dimensional cartesian co-ordinate system, the position of this point can be described by a specific single…
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Obtain Expression For The Velocity In Spherical Polar Co-Ordinate System.
Let us consider a point A in a three-dimensional Cartesian co-ordinate system, the position of this point can be described by a specific single vector. This vector is the displacement…
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Obtain The Expression For Acceleration In Spherical Polar Co-Ordinate.
The expression for the velocity of a particle in the spherical polar co-ordinate system is, where, , & are the unit vectors in the spherical polar co-ordinate system. [ To…
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Find The Expression For The Area Element In Rectangular Cartesian Co-Ordinate System.
Area element in rectangular cartesian co-ordinate system: Let us consider a parallelogram represented by the vectors and as shown in the adjoining figure 1. So the area vector of the…