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BITSAT2013PhysicsRotational MotionActual

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in figure. At any instant, for the lower most point of the disc -

Options

  1. Avelocity is v, acceleration is zero
  2. Bvelocity is zero, acceleration is zero
  3. Cvelocity is v, acceleration is v ² / R
  4. Dvelocity is zero, acceleration is v ² / R

Correct answer

D. velocity is zero, acceleration is v ² / R

Step-by-step solution

As the disc is in combined rotation and translation, each point has a tangential velocity and a linear velocity in the forward direction. From figure v _ net (for lowest point) = v - R = v - v =0 and acceleration = v ² R +0= v ² R (since linear speed is constant)

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