UNIT - IV
PART A - 2 MARK QUESTIONS
1.Define angular momentum and state its SI unit.
2.What is moment of inertia? State its significance in rotational motion.
2.What is moment of inertia? State its significance in rotational motion.
3.State the parallel axis theorem for the moment of inertia.
4.State the perpendicular axis theorem for the moment of inertia.
5.What is kinetic energy of rotation? Write its formula.
6.What is gyroscopic precession?
7.Differentiate between translational and rotational motion.
4.State the perpendicular axis theorem for the moment of inertia.
5.What is kinetic energy of rotation? Write its formula.
6.What is gyroscopic precession?
7.Differentiate between translational and rotational motion.
8.Write expression for the acceleration of of a body rolling down an inclined plane.
9.What is gyrostatic effect? Provide one example of its application.
PART B - 5 MARK QUESTIONS
1.Derive the formula for rotational kinetic energy in terms of moment of inertia and angular velocity.
2.State and prove the parallel axis theorem.
3.State and prove the perpendicular axis theorem.
4.Derive the expression for the moment of inertia of a solid cylinder about its central axis.
5.Describe gyroscopic precession and derive an expression for the precession speed.
6.Explain the motion of a body rolling down an inclined plane. Derive an expression for its acceleration in terms of its moment of inertia and radius.
PART C - 10 MARK QUESTIONS
1.Explain the dynamics of a rigid body rotating about a fixed axis. Derive the equations of rotational motion and discuss the relationship between torque, angular momentum, and angular acceleration.
2.Discuss the concept of a body rolling without slipping along a plane surface. Derive the expression for the total kinetic energy of the rolling body in terms of its translational and rotational kinetic energy.
3.Explain gyroscopic precession in detail. Derive the precession rate for a gyroscope,
4.Describe the general theorems of moment of inertia (parallel axis and perpendicular axis theorems) and provide proofs for each.