Physics
Rotational and Circular Motion
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#145 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) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$
D) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
#146 In absence of external torque, a spinning body tends to:
A) keep its angular momentum vector constant
B) reverse spin spontaneously
C) lose all rotational KE
D) double its angular speed
#147 A mass $m=1\,\text{kg}$ moves in a circle of radius $r=1\,\text{m}$ with speed $v=10\,\text{m s}^{-1}$. The required centripetal force is:
A) $mvr$
B) $\dfrac{v}{mr}$
C) $\dfrac{mv^2}{r}$
D) $\dfrac{r}{mv^{2}}$
#148 A mass $m=1\,\text{kg}$ 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) $mvr$
C) $\dfrac{r}{mv^{2}}$
D) $\dfrac{mv^2}{r}$
#149 For a rigid body rolling without slipping, total kinetic energy equals:
A) $I\omega$
B) $\tfrac12 I\omega^{2}$
C) $\tfrac12 mv^{2}+\tfrac12 I\omega^{2}$
D) $\tfrac12 mv^{2}$
#150 A mass $m=4\,\text{kg}$ moves in a circle of radius $r=3\,\text{m}$ with speed $v=2\,\text{m s}^{-1}$. The required centripetal force is:
A) $\dfrac{mv^2}{r}$
B) $\dfrac{v}{mr}$
C) $\dfrac{r}{mv^{2}}$
D) $mvr$
#151 The point on the rim of a wheel moves 0.3 m when wheel turns through an angle of 30°. The radius of wheel is
A) 1.8\pi m
B) \pi 1.8 m
C) 0.01 m
D) 0.1 m
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