Physics
Rotational and Circular Motion
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#65 A mass $m=0.5\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=2\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{v}{mr}$
B) $\dfrac{r}{mv^{2}}$
C) $mvr$
D) $\dfrac{mv^2}{r}$
#66 A mass $m=0.5\,\text{kg}$ moves in a circle of radius $r=2\,\text{m}$ with speed $v=2\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{r}{mv^{2}}$
B) $\dfrac{v}{mr}$
C) $\dfrac{mv^2}{r}$
D) $mvr$
#67 Choose the correct set of analogies:
A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$
B) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$
C) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
D) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$
#68 On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:
A) $v=\sqrt{rg\tan\phi}$
B) $v=rg\phi$
C) $v=\sqrt{g/\tan\phi}$
D) $v=\sqrt{gr\tan\phi}$
#69 For a rigid body rolling without slipping, total kinetic energy equals:
A) $I\omega$
B) $\tfrac12 mv^{2}$
C) $\tfrac12 I\omega^{2}$
D) $\tfrac12 mv^{2}+\tfrac12 I\omega^{2}$
#70 A mass $m=4\,\text{kg}$ moves in a circle of radius $r=2\,\text{m}$ with speed $v=2\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{v}{mr}$
B) $\dfrac{mv^2}{r}$
C) $\dfrac{r}{mv^{2}}$
D) $mvr$
#71 A mass $m=0.5\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=10\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{v}{mr}$
B) $\dfrac{mv^2}{r}$
C) $\dfrac{r}{mv^{2}}$
D) $mvr$
#72 Choose the correct set of analogies:
A) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$
B) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$
C) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$
D) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
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