Homework Help: physics

Posted by Seth on Sunday, April 3, 2011 at 1:52am.

"A solid cylinder and a thin-walled hollow cylinder have the same mass and radius. They are rolling horizontally along the ground toward the bottom of an incline. They center of mass of each cylinder has the same translational speed. The cylinders roll up the incline and reach their highest points. Calculate the ratio of the distances (solid/hollow) along the incline through which each center of mass moves."

I already know the answer is 3/4. I just need some help in finding out how to get this solution.

physics - drwls, Sunday, April 3, 2011 at 6:19am
Conside the ratios of kinetic energies of the two cylinders. Each rolls up the incline a distance that is proprtional K.E.

The differences are due to differing amounts of rotational kinetic energy, which depends upon the moment of inertia. They are not the same for the two cylinders. The hollow cylinder has a higher rotational KE, but the same translational KE, as the solid cylinder. It is the total KE that matters.
physics - drwls, Sunday, April 3, 2011 at 7:44am
The kinetic energy at a given V is independent of R. It is not necessary to have the two cylinders have the same mass or radius, in order to get the 4:3 ratio of distances.
physics - mr.physics, Thursday, April 7, 2011 at 12:09pm
same

Answer this Question

Related Questions

physics - "A solid cylinder and a thin-walled hollow cylinder have the ...
physics 2a - from solid sphere, solid cylinder and thin-walled cylinder.All ...
Physics - A hollow, thin-walled cylinder and a solid sphere start from rest and ...
Physics 203 - A hollow, thin-walled cylinder and a solid sphere start from rest ...
Physics 203 - A hollow, thin-walled cylinder and a solid sphere start from rest ...
physics - A thin, light horizontal string is wrapped around the rim of a 4.00-kg...
PHYSICS - A 20.0 kg solid cylinder, 0.25m in radius, and a 5.0 kg thin hollow ...
Physics - Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, ...
physics - A thin, light string is wrapped around the rim of a 4.00kg solid ...
Calc - cylindrical can is to be made from a rectangular piece of aluminum that ...

For Further Reading

First Name:
School Subject:
Answer: