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AP EAMCET2009PhysicsRotational Motion

A wheel of radius 0.4 ~m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 ~kg is hung. An angular acceleration of 8 rad- s ⁻² is produced in it due to the torque. Then, moment of inertia of the wheel is (g=10 ~ms ⁻² )

Options

  1. A2 ~kg - m ^2
  2. B1 ~kg - m ^2
  3. C4 ~kg - m ^2
  4. D8 ~kg - m ^2

Correct answer

B. 1 ~kg - m ^2

Step-by-step solution

Given, r=0.4 ~m , aligned & =8 rad s ⁻¹, m & =4 ~kg , I=? Torque, & =I m g r & =I aligned aligned or & & 4 10 0.4 & =I 8 & & I & = 16 8 =2 ~kg - m ^2 or & & I & =2 ~kg - m ^2 aligned

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