Q1: What is the moment of inertia of a solid cylinder of mass \(M\) and radius \(R\) about its central axis?
Correct Answer: A) \( \frac{1}{2}MR^2 \)
Q2: What is the moment of inertia of a thin rod of length \(L\) and mass \(M\) about an axis perpendicular to it through one end?
Correct Answer: A) \( \frac{1}{3}ML^2 \)
Q3: What is the moment of inertia of a solid sphere of mass \(M\) and radius \(R\) about an axis through its center?
Correct Answer: A) \( \frac{2}{5}MR^2 \)
Q4: For a disc of mass \(M\) and radius \(R\), what is the moment of inertia about an axis along its edge (using the parallel axis theorem)?
Correct Answer: A) \( \frac{3}{2}MR^2 \)
Q5: What is the expression for rotational kinetic energy of a rotating body with moment of inertia \(I\) and angular velocity \(\omega\)?
Correct Answer: A) \( \frac{1}{2}I\omega^2 \)
Q6: Which of the following equations correctly relates torque (\(\tau\)), moment of inertia (\(I\)), and angular acceleration (\(\alpha\))?
Correct Answer: A) \( \tau = I\alpha \)
Q7: If a wheel of radius \(R\) rolls without slipping with linear speed \(v\), what is the relationship between \(v\) and angular velocity \(\omega\)?
Correct Answer: A) \( v = R\omega \)
Q8: According to the parallel axis theorem, how is the moment of inertia \(I\) about an axis a distance \(d\) from the center of mass related to \(I_{cm}\)?
Correct Answer: A) \( I = I_{cm} + Md^2 \)
Q9: In rotational dynamics, what is the angular impulse-momentum theorem?
Correct Answer: A) Change in angular momentum equals the applied torque times the time interval.
Q10: In a closed system with no external torques, which of the following quantities remains conserved?
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