Class 12 HSC (SSE Board) Physics

Important Questions - Chapter 1: Rotational Dynamics

State and prove the law of conservation of angular momentum.
Derive the expression for torque acting on a particle.
Derive the relation between torque and angular acceleration.
Derive an expression for the moment of inertia of a solid cylinder about its own axis.
State and prove the theorem of perpendicular axis.
State and prove the theorem of parallel axis.
Explain in detail the physical significance of moment of inertia.

Define torque and write its vector form.
What is radius of gyration? Give its SI unit.
Define angular momentum. Write its SI unit and formula.
State the conditions for equilibrium of a rigid body.
Write any two differences between translational and rotational motion.
Explain the relation: \( L = I \times \omega \).
Why is it easier to rotate a bicycle wheel about its central axis than about any other diameter?
Write any two factors affecting moment of inertia.

A ring of mass 2 kg and radius 0.5 m is rotating at 4 rad/s. Find its angular momentum.
A disc of radius 0.2 m and mass 3 kg rotates with an angular speed of 10 rad/s. Calculate its kinetic energy of rotation.
Find the moment of inertia of a rod of length 1.5 m and mass 2 kg about an axis perpendicular to its length and p...
A torque of 10 Nm produces an angular acceleration of \( 2 \text{ rad/s}^2 \) in a body. Find its moment of inertia.