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Physics • Chapter 04
Rotational Motion & Moment of Inertia
DR
Dr. Rahman
Senior Physics Faculty • Sikkhalay Academy
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Chapter04_Handwritten_Notes.pdf
Uploaded by Dr. Rahman • 4.8 MB
Key Summary & Formulas
In this lecture, we cover rotational dynamics, angular acceleration, torque equations, and the derivation of moment of inertia ($I = \sum m_i r_i^2$) for uniform rigid bodies.
• Angular Velocity: ω = dθ / dt
• Torque: τ = I α
• Kinetic Energy of Rotation: K_rot = ½ I ω²
• Torque: τ = I α
• Kinetic Energy of Rotation: K_rot = ½ I ω²
01. Introduction to Rigid Body Rotation
00:00
Overview of rotational motion vs linear translation
02. Moment of Inertia Derivation
08:30
Deriving I = mr² for point masses & continuous rings
03. Parallel Axis & Perpendicular Axis Theorems
18:40
Key theorems applied to thin rods & uniform discs
04. Board & Admission Exam Numerical Problems
35:15
Step-by-step solutions to 5 frequently asked questions
Kabir Hasan asks at 18:40:
Why does the radius of gyration (k) change when switching axes?
Dr. Rahman answered: Because mass distribution relative to the axis changes.
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