Rod pivoted at one end: angular velocity or height risen from energy conservation

1. A.
   $\frac{\omega^2 L^2}{12g^2}$
2. B.
   $\frac{\omega^2 L^2 g}{6}$
3. C.
   $\frac{\omega^2 g}{12L^2}$
4. D.
   $\frac{\omega^2 L^2}{24g}$

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1. A.
   $\frac{L^{2}\omega^{2}}{3g}$
2. B.
   $\frac{L^{2}\omega^{2}}{2g}$
3. C.
   $\frac{L^{2}\omega^{2}}{6g}$
4. D.
   $\frac{L^{2}\omega^{2}}{4g}$

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1. A.
   $\sqrt{\frac{g}{l}}$
2. B.
   $\sqrt{mgl}$
3. C.
   $\sqrt{\frac{3g}{l}}$
4. D.
   $\sqrt{\frac{mg}{3l}}$

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1. A.
   $ml^2\omega^2$
2. B.
   $\dfrac{ml^2\omega^2}{4}$
3. C.
   $\dfrac{ml^2\omega^2}{6}$
4. D.
   $\dfrac{ml^2\omega^2}{12}$

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1. A.
   $\frac{L^{2}\omega^{2}}{2g}$
2. B.
   $\frac{L\omega}{6\text{ }g}$
3. C.
   $\frac{L\omega}{2g}$
4. D.
   $\frac{L^{2}\omega^{2}}{6g}$

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1. A.
   $\sqrt{\dfrac{2g}{l}}$
2. B.
   $\sqrt{\dfrac{3g}{l}}$
3. C.
   $\sqrt{\dfrac{mg}{l}}$
4. D.
   $\sqrt{\dfrac{mg}{3l}}$

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1. A.
   $\dfrac{L^2\omega^2}{2g}$
2. B.
   $\dfrac{L\omega}{6g}$
3. C.
   $\dfrac{L\omega}{2g}$
4. D.
   $\dfrac{L^2\omega^2}{6g}$

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1. A.
   $\sqrt{\dfrac{6g}{l}}\cos\dfrac{\theta}{2}$
2. B.
   $\sqrt{\dfrac{6g}{l}}\sin\theta$
3. C.
   $\sqrt{\dfrac{6g}{l}}\sin\dfrac{\theta}{2}$
4. D.
   $\sqrt{\dfrac{6g}{l}}\cos\theta$

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