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Most Important Selected Qs for JEE AdvancedPhysicsLaws of Motion

A bike of length having its centre of mass at the middle is to turn with constant speed v [here v is the speed of centre of mass of the bike]. To turn, the front wheel is rotated by an angle . The coefficient of friction between the tyres and the road is . Assuming the bike to be vertical and it does not skid, answer the following questions. The radius of curvature of the centre of mass of the bike is

Options

  1. A(A) 4+ ^2
  2. B2+ ^2
  3. C2 4+ ^2
  4. D2 2+ ^2

Correct answer

C. 2 4+ ^2

Step-by-step solution

If the bike does not slip, path of both the wheel must be parallel with its direction as shown in the figure. aligned & R ₁= / & R _ cm = ( 2 )^2+ R ₁^2 = 2 4+ ^2 & Net friction force f = mv ^2 R _ cm = 2 ~m v^2 4+ ^2 aligned

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