Class 12 HSC (SSE Board) Physics
Important Questions - Chapter 1: Rotational Dynamics
Long Answer Questions (3-4 Marks)
- 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.
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Short Answer Questions (2-3 Marks)
- 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.
Numerical Problems
- 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.
Definitions / One Mark Questions
- Define torque.
- Define angular velocity.
- What is moment of inertia?
- What is angular acceleration?
- What is equilibrium?
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