Physics
Rotational and Circular Motion
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#97 A mass $m=4\,\text{kg}$ moves in a circle of radius $r=1\,\text{m}$ with speed $v=6\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{mv^2}{r}$
B) $\dfrac{r}{mv^{2}}$
C) $\dfrac{v}{mr}$
D) $mvr$
#98 A mass $m=4\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=2\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{r}{mv^{2}}$
B) $\dfrac{v}{mr}$
C) $mvr$
D) $\dfrac{mv^2}{r}$
#99 On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:
A) $v=\sqrt{g/\tan\phi}$
B) $v=\sqrt{rg\tan\phi}$
C) $v=\sqrt{gr\tan\phi}$
D) $v=rg\phi$
#100 On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:
A) $v=\sqrt{gr\tan\phi}$
B) $v=\sqrt{g/\tan\phi}$
C) $v=rg\phi$
D) $v=\sqrt{rg\tan\phi}$
#101 Moment of inertia of a hoop about the standard axis is:
A) $I=MR^{2}$
B) $I=\tfrac34 MR^{2}$
C) $I=ML^{2}$
D) $I=\tfrac23 MR^{2}$
#102 Choose the correct set of analogies:
A) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$
B) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$
C) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
D) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$
#103 In absence of external torque, a spinning body tends to:
A) reverse spin spontaneously
B) double its angular speed
C) lose all rotational KE
D) keep its angular momentum vector constant
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