The problem involves calculating the translational speed of a cylinder rolling down an incline of 11 meters in height, starting from rest and rolling without slipping. The discussion centers around the conversion of potential energy to kinetic energy, considering both translational and rotational components.
The discussion is ongoing, with participants sharing equations and expressing uncertainty about their correctness. Some guidance has been provided regarding the relationship between potential energy and kinetic energy, as well as the importance of the moment of inertia. Multiple interpretations of the problem are being explored.
Participants note the challenge of deriving the speed from limited information, specifically only having the height of the incline. There are concerns about the accuracy of the equations being referenced and the values being calculated.
Bones said:Homework Statement
Calculate the translational speed of a cylinder when it reaches the foot of an incline 11 m high. Assume it starts from rest and rolls without slipping.
How do you find the speed when you only have the height of the incline?
Bones said:I am not sure what the equation is. The only one I found was v=sqrt 10/7gH which was not right.
Bones said:There's this one: 1/2Mv^2+1/2Icm(omega)^2+Mgy
But I am not sure where to get all this information from just having the height of the incline.