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MHT CET20243 May 2024Morning ShiftPhysicsRotational MotionActual

In case of rotational dynamics, which one of the following statements is correct? [ = angular velocity, v = linear velocity r = radius vector, = angular acceleration a = linear acceleration, L = angular momentum p = linear momentum, = torque, f = centripetal force ]

Options

  1. Av = r , = r a , L = r p , = f r
  2. Bv = r , = a r , L = p r , = r f
  3. Cv = r , = a r , L = r p , = r f
  4. Dv = r , = a r , L = p r , = r f

Correct answer

C. v = r , = a r , L = r p , = r f

Step-by-step solution

Linear velocity ( ( v ) ) : The linear velocity of a point in rotational motion is given by the cross product of the angular velocity vector (( ) ) and the radius vector ( (r) ) : ( v = r ) This shows the perpendicular relationship between linear velocity and both the radius vector and the angular velocity. Angular acceleration ( ( )): The angular acceleration and its relation to linear acceleration can often be represented with: ( = a r ) Though, if specified to mean tangential component in a circular path, it dir

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