Rotational and Circular Motion
For a wheel with $I$ and $\alpha$, net torque is:
A) $\tau=I\alpha$
B) $\tau=I\omega$
C) $\tau=I\theta$
D) $\tau=\alpha/I$
If $L=I\omega$ and $I$ decreases without external torque:
A) $\omega$ increases
B) $\omega$ decreases
C) $\omega$ unchanged
D) $L$ decreases
$I$ of a rectangular plate about axis through center & perpendicular:
A) $I=\tfrac{1}{12}M(a^{2}+b^{2})$
B) $I=\tfrac12 M(a^{2}+b^{2})$
C) $I=\tfrac{1}{3}M(a^{2}+b^{2})$
D) $I=Mab$
For a particle in UCM, direction of $\vec a$ is:
A) toward center
B) away from center
C) along velocity
D) random
If string breaks in UCM, the object moves:
A) tangentially
B) radially outward
C) toward center
D) stops
Unit of radian:
A) dimensionless
B) radian
C) steradian
D) meter
Choose the correct set of analogies:
A) $F\leftrightarrow a,\ m\leftrightarrow\tau,\ I\leftrightarrow\alpha$
B) $F\leftrightarrow \tau,\ a\leftrightarrow\alpha,\ m\leftrightarrow I$
C) $F\leftrightarrow I,\ a\leftrightarrow\tau,\ m\leftrightarrow\alpha$
D) $F\leftrightarrow \omega,\ a\leftrightarrow I,\ m\leftrightarrow\tau$
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