(Energy Solution) Acceleration of a Wheel descending on a Rope (6:59)
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
1:10 Conservation of Mechanical Energy
2:54 Using an equation for rolling without slipping
4:04 Using a uniformly accelerated motion equation
5:15 Comparing this to a non-translating, rotating wheel
6:06 Comparing this to rolling without slipping down an incline