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Motion of a particle in a plane is described by the non-orthogonal set of coordinates (p, q) with unit vectors ( p , q ) inclined at an angle as shown in the diagram. If the mass of the particle is m , its kinetic energy is given by ( x = d x d t )

Options

  1. A1 2 m ( p ^2+ q ^2+ p q )
  2. B1 2 m ( p ^2+ q ^2- p q (1- ) )
  3. C1 2 m ( p ^2+ q ^2+2 p q )
  4. D1 2 m ( p ^2+ q ^2+ p q )

Correct answer

C. 1 2 m ( p ^2+ q ^2+2 p q )

Step-by-step solution

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