Rotational Motion | All Concepts + PYQs Solved | MHT-CET 2026 Physics | PA by Prof AKC Sir"

In this video, we cover Rotational Motion & Moment of Inertia with complete concepts + solved MHT-CET Previous Year Questions (2020, 2022, 2024, 2025).
All important derivations, formulas, and problem-solving strategies are explained step by step.

🔹 Topics Covered:
Angular displacement, velocity & acceleration

Torque, angular momentum & conservation laws

Work-Energy in rotation (½Iω²)

Standard formulas of MOI (rod, disk, ring, sphere, cylinder)

Parallel & perpendicular axis theorems

Radius of gyration (K)

Rolling motion (pure vs impure, plane vs incline)

Energy relations (rotational + translational)

🟢 MHT-CET PYQs Discussed:

Rod cut into equal parts (2020)

Uniform rod length 2L about center (2020)

Three rods connected about axis (2020)

Solid sphere vs solid cylinder KE ratio (2022)

Heated metallic rod — effect on ω (2022)

Annular disk MOI (2024)

Rod bent into ring (2025)

Angular momentum & KE relation (2025)

Two identical rings placed together (2025)

Thin rod pivoted at end (2025)

Ring with two masses on diameter (2025)

Solid sphere on incline (2025)

Solid sphere rolling up incline (2025)

Cylinder rolling down height H (2025)

Sliding vs rolling velocity ratio (2025)

Thin rod swinging about end (2025)

This video is highly useful for MHT-CET 2026 Physics Preparation, and also relevant for JEE Main/Advanced basics.
00:00:00 — Introduction to Rotational Motion
00:03:12 — Angular displacement, velocity & acceleration basics
00:08:45 — Linear vs angular analogies (v = rω, a = rα, etc.)
00:15:22 — Centripetal acceleration & uniform circular motion
00:21:40 — Work–Energy relation in rotation (½Iω²)
00:27:05 — Derivations of angular equations of motion
00:34:10 — Torque basics (τ = r×F, τ = Iα)
00:39:52 — Angular momentum (L = Iω) and conservation
00:45:26 — Relation KE = L² / 2I (rotational vs linear p²/2m)
00:51:08 — Standard MOI values (rod, ring, disk, cylinder, sphere)
00:56:20 — Parallel-axis theorem explained (I = Icm + Md²)
01:00:04 — Thin rod & diameter shifting examples
01:06:19 — Solid disk MOI (center, diameter, tangent cases)
01:09:49 — Two disks (R and 3R) — ratio of I
01:14:52 — Radius of gyration (K) & formula-based PYQs
01:20:42 — Composite systems of disks (attached bodies)
01:24:31 — Annular disk MOI & PYQ (MHT-CET 2024)
01:29:20 — Thin rod summary (center, end, bent into ring)
01:31:00 — Rod bent into ring — PYQ (MHT-CET 2025)
01:37:00 — Rod cut into equal parts — PYQ (MHT-CET 2020)
01:42:00 — Uniform rod length 2L — PYQ (MHT-CET 2020)
01:45:00 — Three rods connected system — PYQ (MHT-CET 2020)
01:51:30 — Cylindrical shell & solid cylinder formulas
01:57:00 — Solid sphere vs solid cylinder KE ratio — PYQ (MHT-CET 2022)
02:02:00 — Energy relation KE = L²/2I (analogy with linear)
02:41:57 — Angular momentum & KE relation — PYQ (MHT-CET 2025)
02:43:37 — Two identical rings placed together — PYQ (MHT-CET 2025)
02:49:51 — Thin rod pivoted at one end (angular acceleration at θ) — PYQ (MHT-CET 2025)
02:52:38 — Heated rod — angular velocity change — PYQ (MHT-CET 2022)
02:54:25 — Ring + two masses at diameter ends — PYQ (MHT-CET 2025)
02:59:00 — Rolling motion introduction (pure vs impure, slip)
03:02:13 — Rolling on incline — velocity & acceleration formulas
03:09:53 — Which body reaches bottom first (sphere, cylinder, ring)
03:11:03 — Solid sphere on 30° incline — PYQ (MHT-CET 2025)
03:12:42 — Solid sphere rolling up incline — PYQ (MHT-CET 2025)
03:18:35 — Cylinder rolling down height H — rotational KE — PYQ (MHT-CET 2025)
03:21:18 — Sliding vs rolling velocity ratio — PYQ (MHT-CET 2025)
03:24:16 — Thin rod swinging about end — PYQ (MHT-CET 2025)
03:29:09 — End notes & transition to Gravitation / Fluid Mechanics
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