Physics Chapter Rotational and Circular Motion Mcqs

#73
Choose the correct set of analogies:

A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$

B) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$

C) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$

D) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$

Answer: C

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#74
Choose the correct set of analogies:

A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$

B) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$

C) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$

D) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$

Answer: C

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#75
In absence of external torque, a spinning body tends to:

A) reverse spin spontaneously

B) double its angular speed

C) keep its angular momentum vector constant

D) lose all rotational KE

Answer: C

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#76
Work done by a constant torque $\tau$ through angle $\theta$ is:

A) $W=I\omega$

B) $W=\tau\,\theta$

C) $W=\alpha\theta$

D) $W=\tau/\theta$

Answer: B

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#77
A mass $m=1\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=4\,\text{m s}^{-1}$. The required centripetal force is:

A) $\dfrac{v}{mr}$

B) $mvr$

C) $\dfrac{mv^2}{r}$

D) $\dfrac{r}{mv^{2}}$

Answer: C

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#78
In absence of external torque, a spinning body tends to:

A) double its angular speed

B) keep its angular momentum vector constant

C) reverse spin spontaneously

D) lose all rotational KE

Answer: B

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Comments:

#79
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) $mvr$

C) $\dfrac{r}{mv^{2}}$

D) $\dfrac{mv^2}{r}$

Answer: D

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#80
For a rigid body rolling without slipping, total kinetic energy equals:

A) $\tfrac12 mv^{2}$

B) $\tfrac12 I\omega^{2}$

C) $\tfrac12 mv^{2}+\tfrac12 I\omega^{2}$

D) $I\omega$

Answer: C

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Physics

#73 Choose the correct set of analogies:

A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$ B) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$ C) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$ D) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$

Comments:

#74 Choose the correct set of analogies:

A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$ B) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$ C) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$ D) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$

Comments:

#75 In absence of external torque, a spinning body tends to:

A) reverse spin spontaneously B) double its angular speed C) keep its angular momentum vector constant D) lose all rotational KE

Comments:

#76 Work done by a constant torque $\tau$ through angle $\theta$ is:

A) $W=I\omega$ B) $W=\tau\,\theta$ C) $W=\alpha\theta$ D) $W=\tau/\theta$

Comments:

#77 A mass $m=1\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=4\,\text{m s}^{-1}$. The required centripetal force is:

A) $\dfrac{v}{mr}$ B) $mvr$ C) $\dfrac{mv^2}{r}$ D) $\dfrac{r}{mv^{2}}$

Comments:

#78 In absence of external torque, a spinning body tends to:

A) double its angular speed B) keep its angular momentum vector constant C) reverse spin spontaneously D) lose all rotational KE

Comments:

#79 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) $mvr$ C) $\dfrac{r}{mv^{2}}$ D) $\dfrac{mv^2}{r}$

Comments:

#80 For a rigid body rolling without slipping, total kinetic energy equals:

A) $\tfrac12 mv^{2}$ B) $\tfrac12 I\omega^{2}$ C) $\tfrac12 mv^{2}+\tfrac12 I\omega^{2}$ D) $I\omega$

Comments:

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#73
Choose the correct set of analogies:

A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$

B) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$

C) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$

D) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$

#74
Choose the correct set of analogies:

A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$

B) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$

C) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$

D) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$

#75
In absence of external torque, a spinning body tends to:

A) reverse spin spontaneously

B) double its angular speed

C) keep its angular momentum vector constant

D) lose all rotational KE

#76
Work done by a constant torque $\tau$ through angle $\theta$ is:

A) $W=I\omega$

B) $W=\tau\,\theta$

C) $W=\alpha\theta$

D) $W=\tau/\theta$

#77
A mass $m=1\,\text{kg}$ moves in a circle of radius $r=5\,\text{m}$ with speed $v=4\,\text{m s}^{-1}$. The required centripetal force is:

A) $\dfrac{v}{mr}$

B) $mvr$

C) $\dfrac{mv^2}{r}$

D) $\dfrac{r}{mv^{2}}$

#78
In absence of external torque, a spinning body tends to:

A) double its angular speed

B) keep its angular momentum vector constant

C) reverse spin spontaneously

D) lose all rotational KE

#79
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) $mvr$

C) $\dfrac{r}{mv^{2}}$

D) $\dfrac{mv^2}{r}$

#80
For a rigid body rolling without slipping, total kinetic energy equals:

A) $\tfrac12 mv^{2}$

B) $\tfrac12 I\omega^{2}$

C) $\tfrac12 mv^{2}+\tfrac12 I\omega^{2}$

D) $I\omega$