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JEE Main201912 Jan 2019Evening ShiftPhysicsMotion in Two DimensionsActual

Two particles A , B are moving on two concentric circles of radii R 1 and R 2 with equal angular speed ω . At t = 0 , their positions and direction of motion are shown in the figure: The relative velocity V A → - V B → at t = π 2 ω is given by:

Options

  1. A- ω R 1 + R 2 i ^
  2. Bω R 1 + R 2 i ^
  3. Cω R 1 - R 2 i ^
  4. Dω R 2 - R 1 i ^

Correct answer

D. ω R 2 - R 1 i ^

Step-by-step solution

t = π 2 ω V → A = ω R 1 - i ^ V → B = ω R 2 - i ^ V A → - V B → = ω R 2 - R 1 i ^

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