A Unique Problem On Combined Rotation With Translation

Описание: 📘 Combined Rotation with Translation | Rolling Without Slipping | Full Physics Derivation (JEE/NEET/Engineering)

In this class, we solve a beautiful and advanced combined rotation + translation problem involving:

✔️ A rolling disk (radius R, mass m)
✔️ A point mass attached at the rim
✔️ No slipping condition
✔️ System released from rest

This session explains how to apply rotation + translation concepts and solve using physics fundamentals.

You will learn:

🔹 Angular acceleration derivation

🔹 Centre of Mass acceleration

🔹 Normal reaction & static friction

🔹 No-slipping condition

🔹 Instantaneous Axis of Rotation

🔹 Torque approach

🔹 Pseudo force in non-inertial frames

🔹 Moment of inertia about different points

This lecture is extremely helpful for IIT-JEE Advanced, JEE Main, NEET, BSc physics & engineering students.

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📍 Clickable Timestamps:

00:00 – Introduction to Combined Rotation + Translation Problem
00:06 – Problem statement & system description
00:22 – Finding angular acceleration direction
00:42 – Understanding the No-Slipping condition
01:32 – Relative acceleration reasoning
02:24 – Deriving a = rα condition
03:00 – Determining rotation direction
04:05 – Torque about point D explanation
05:10 – Why static friction acts forward
06:40 – Torque calculation using mg
07:46 – Moment of inertia about point D
08:13 – Result: α = 2g/7r
09:02 – Instantaneous Axis of Rotation concept
10:40 – Centre of Mass acceleration derivation
11:30 – Geometry to determine direction of acceleration
12:10 – Horizontal & vertical components (ax, ay)
13:35 – Finding static friction (fs) using F = ma
14:58 – Result: fs = 4/7 mg
15:59 – Result: Normal reaction = 12/7 mg
16:56 – Alternate method: Torque about C1
18:32 – Use of pseudo force explained
20:00 – Re-confirming fs = 4/7 mg
22:01 – Torque about point C3 approach
24:43 – Why torque about any point works
25:51 – Final conclusion

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🎯 Keywords:

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