JEE Advanced 2026 Mock Test | Rotational Dynamics - Acceleration in Rolling Motion

Описание: Video 2 of the JEE Advanced 2026 Mock Test Series on Physics Unlocked!

In this video, we solve a challenging Kinematics of Rigid Bodies problem involving a small hoop rolling inside a larger, fixed hoop. This problem tests your understanding of General Plane Motion—combining the translational acceleration of the center of mass with the rotational acceleration relative to the center.

📝 Problem Statement:
A small hoop of radius r rolls along the inner frictionless surface of a larger, fixed stationary hoop of radius 2r. The center of the smaller hoop (O') rotates counter-clockwise with angular velocity ω about the center of the larger hoop (O). Find the magnitude of the acceleration of point A on the smaller hoop located on the horizontal diameter.

Key Concepts Covered:
Condition for Rolling without Slipping
Velocity analysis using Instantaneous Center of Rotation (ICR)
Acceleration analysis using Vector Addition
Relative Motion (Translational + Rotational)

⏱️ Timestamps:
0:00 - Intro & Problem Reading
1:15 - Identifying the Point of Absolute Rest
2:10 - Relocating Velocity (v = rω)
3:45 - Acceleration of the Center (O')
4:30 - Acceleration of Point A relative to Center
5:15 - Vector Sum & Magnitude Calculation
5:35 - Final Answer

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