Physics
Rotational and Circular Motion
Page 8 of 24
#57 A mass $m=4\,\text{kg}$ moves in a circle of radius $r=2\,\text{m}$ with speed $v=6\,\text{m s}^{-1}$. The required centripetal force is:
A) $mvr$
B) $\dfrac{v}{mr}$
C) $\dfrac{r}{mv^{2}}$
D) $\dfrac{mv^2}{r}$
#58 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) $v=rg\phi$
#59 On a frictionless banked curve of radius $r$ and bank angle $\phi$, the ideal speed is:
A) $v=\sqrt{gr\tan\phi}$
B) $v=rg\phi$
C) $v=\sqrt{g/\tan\phi}$
D) $v=\sqrt{rg\tan\phi}$
#60 A mass $m=0.5\,\text{kg}$ moves in a circle of radius $r=2\,\text{m}$ with speed $v=4\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{v}{mr}$
B) $\dfrac{r}{mv^{2}}$
C) $mvr$
D) $\dfrac{mv^2}{r}$
#61 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) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
#62 Moment of inertia of a solid sphere about the standard axis is:
A) $I=ML^{2}$
B) $I=\tfrac23 MR^{2}$
C) $I=\tfrac25 MR^{2}$
D) $I=\tfrac34 MR^{2}$
#63 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) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
D) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$
Page 8 of 24
Register or Login for comments
Comments: