(Torque Solution) Acceleration of a Wheel descending on a Rope

A rope is wrapped around a bicycle wheel. The wheel is released from rest and allowed to descend without slipping as the rope unwinds from the wheel. While descending, does the center of the wheel move straight down, toward the left, or toward the right? Want Lecture Notes? https://www.flippingphysics.com/wheel... This is an AP Physics 1 Topic.

0:00 Intro
0:07 Translating the problem to physics
1:07 Drawing the Free Body Diagram and summing the forces
1:58 Summing the torques about the axle of the wheel
3:13 Finding the relationship between the linear and angular accelerations
5:13 Understanding that we made a mistake and what that mistake is
6:46 Fixing our mistake
8:05 Demonstrating that our solution is correct

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Thank you to Jonathan Sullivan-Wood for transcribing the English subtitles of this video.