(Torque Solution) Acceleration of a Wheel descending on a Rope (8:51)
A rope is wrapped around a bicycle wheel with a rotational inertia of 0.68MR^2. The wheel is released from rest and allowed to descend without slipping as the rope unwinds from the wheel. In terms of g, determine the acceleration of the wheel as it descends. This is an AP Physics 1 Topic.
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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