Co-Ordinate System
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Find The Value Of Line Element In Plan Polar Co-Ordinate.
Line element in plan polar co-ordinate system: Let us consider two points and in a plane polar co-ordinate system with respect to the origin O as shown in Fig. 1.…
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Find The Value Of Area Element In Plane Polar Co-Ordinate System.
Area element in plane polar co-ordinate system: Let us consider a point having plane polar co-ordinates with respect to the origin as shown in the figure 1. Now the vector…
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Derive An Expression For The Line Element In Spherical Polar Co-Ordinate System.
Line element in the spherical polar co-ordinate system: Let us consider a very small volume element PQRSS’P’Q’R as shown in Fig.1. The lower surface PQRS of this volume element lies…
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Derive An Expression For Area Element In Spherical Polar Co-Ordinate System.
Let us consider a very small volume element PQRSS’P’Q’R as shown in Fig.1. The lower surface PQRS of this volume element lies on the surface of the sphere of radius…
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Derive An Expression For The Volume Element In Spherical Polar Co-Ordinate System.
Let us consider a very small volume element PQRSS’P’Q’R as shown in Fig.1. The lower surface PQRS of this volume element lies on the surface of the sphere of radius…
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Express The Unit Vectors In Cylindrical Polar Co-Ordinate System In Terms Of The Unit Vectors In Spherical Polar Co-Ordinate System.
Let us consider a point P in cylindrical polar co-ordinate system, having cylindrical co-ordinates . The cartesian co-ordinates of the point P is . Let’s draw a vertical line PQ…
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Derive The Expression For Velocity In Cylindrical Polar Co-Ordinate System.
Let us consider a point P in cylindrical co-ordinate system, having cylindrical co-ordinates . The cartesian co-ordinates of the point P is . Let’s draw a vertical line PQ on…
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Derive An Expression For Acceleration Of A Particle In Cylindrical Polar Co-Ordinate System.
Let us consider a point P in cylindrical co-ordinate system, having cylindrical co-ordinates . The cartesian co-ordinates of the point P is . Let’s draw a vertical line PQ on…