Physics
Rotational and Circular Motion
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#105 Work done by a constant torque $\tau$ through angle $\theta$ is:
A) $W=\tau/\theta$
B) $W=\alpha\theta$
C) $W=I\omega$
D) $W=\tau\,\theta$
#106 For a rigid body rolling without slipping, total kinetic energy equals:
A) $I\omega$
B) $\tfrac12 mv^{2}$
C) $\tfrac12 I\omega^{2}$
D) $\tfrac12 mv^{2}+\tfrac12 I\omega^{2}$
#107 Work done by a constant torque $\tau$ through angle $\theta$ is:
A) $W=\tau/\theta$
B) $W=\tau\,\theta$
C) $W=\alpha\theta$
D) $W=I\omega$
#108 In absence of external torque, a spinning body tends to:
A) keep its angular momentum vector constant
B) reverse spin spontaneously
C) double its angular speed
D) lose all rotational KE
#109 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) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
#110 Moment of inertia of a solid sphere about the standard axis is:
A) $I=\tfrac25 MR^{2}$
B) $I=\tfrac34 MR^{2}$
C) $I=\tfrac23 MR^{2}$
D) $I=ML^{2}$
#111 In absence of external torque, a spinning body tends to:
A) lose all rotational KE
B) double its angular speed
C) keep its angular momentum vector constant
D) reverse spin spontaneously
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