Author: Physics Notebook
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Obtain The Expression For Acceleration In Spherical Polar Co-Ordinate.
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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 know the derivation for the expression for the velocity in spherical polar co-ordinate system (CLICK HERE) ] Expression for acceleration in spherical polar coordinate: Now…
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Obtain Expression For The Velocity In Spherical Polar Co-Ordinate System.
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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 of that point A with respect to the origin O of the co-ordinate system, as shown in the figure below. This vector is known as…
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Obtain Expression For The Displacement In Spherical Polar Co-Ordinate System.
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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 vector. This vector is the displacement of that point A with respect to the origin O of the co-ordinate system, as shown in the figure…
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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.
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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 of that point A with respect to the origin O of the co-ordinate system, as shown in the figure below. This vector is known as…
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Derive Expression Of The Radial And Transverse Velocity Of A Particle Moving Along A Curve In A Plane.
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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 of that point A with respect to the origin O of the co-ordinate system, as shown in the figure below. This vector is known as…
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Derive The Expression For The Displacement Of A Particle Moving Along A Curve In A Plane.
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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 described by a specific single vector. This vector is the displacement of that point A with respect to the origin O of the co-ordinate system,…
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Show That Plane Polar Unit Vectors Are Orthogonal.
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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 the derivations of the above unit vectors CLICK HERE ] Where, and are the unit vectors along the X-axis and Y-axis in two-dimensional cartesian co-ordinate…
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Show That The Spherical Polar Unit Vectors Are Mutually Perpendicular To Each Other.
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Unit vectors in spherical polar co-ordinate system are mutually perpendicular to each other: Two unit vectors are said to be orthogonal to each other when the angles between these two unit vectors are , i.e., they are perpendicular to each other. In order to prove the unit vectors (, , ) in spherical polar co-ordinate…
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What Are The Unit Vectors In Spherical Polar Co-ordinates? Express These Unit Vectors In terms Of Unit Vectors In Three-Dimensional Cartesian Co-Ordinate System.
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Unit Vectors In Spherical Polar Co-Ordinate System: In spherical polar co-ordinate system, there are three unit vectors, Radial unit vector along the direction of radius vector . along the direction increasing . along the direction of increasing . The unit vector is perpendicular to unit vector . The unit vector is perpendicular to the both…
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Define Unit Vectors In Planer Motion In Terms Of Their Cartesian Counter-Parts.
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In a two-dimensional plane polar co-ordinate system, there are two unit vectors The radial unit vector . The direction of this unit vector is along the radius vector The unit vector along the direction of increasing . Similarly, in case of planer motion in a two-dimensional Cartesian co-ordinate system, there are also two…