Two discs or rings joined on a common axis: final angular speed or energy

1. A.
   $\frac{2}{3}\omega$
2. B.
   $\frac{3}{4}\omega$
3. C.
   $\frac{4}{3}\omega$
4. D.
   $\frac{5}{4}\omega$

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1. A.
   $\frac{2}{3}\omega$
2. B.
   $\frac{4}{5}\omega$
3. C.
   $\frac{5}{4}\omega$
4. D.
   $\frac{3}{2}\omega$

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1. A.
   $\frac{I\omega^{2}}{16}$
2. B.
   $\frac{I\omega^{2}}{8}$
3. C.
   $\frac{I\omega^{2}}{4}$
4. D.
   $\frac{I\omega^{2}}{2}$

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1. A.
   $\frac{I_{1}\omega_{1} + I_{2}\omega_{2}}{2\left( I_{1} + I_{2} \right)^{2}}$
2. B.
   $\ \frac{\left( I_{1}\omega_{1} - I_{2}\omega_{2} \right)^{2}}{2\left( I_{1} + I_{2} \right)}$
3. C.
   $\frac{\left( I_{1}\omega_{1} + I_{2}\omega_{2} \right)^{2}}{2\left( I_{1} - I_{2} \right)}$
4. D.
   $\frac{\left( I_{1}\omega_{1} + I_{2}\omega_{2} \right)^{2}}{2\left( I_{1} + I_{2} \right)}$

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1. A.
   $I\omega^2$
2. B.
   $\dfrac{I\omega^2}{2}$
3. C.
   $\dfrac{I\omega^2}{4}$
4. D.
   $\dfrac{I\omega^2}{8}$

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1. A.
   $\left[\dfrac{(I_1 + I_2)}{I_1I_2}\right]$
2. B.
   $\dfrac{I_1I_2}{(I_1 - I_2)}$
3. C.
   $\dfrac{(I_1 - I_2)}{I_1I_2}$
4. D.
   $\dfrac{I_1I_2}{(I_1 + I_2)}$

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