A thin-walled hollow sphere with mass M = 2.00 kg and radius R = 0.05 00 m has a moment of inertia of I = 2/3 MR2 for rotation about an axis through its center. Initially the sphere is rolling without slipping on a level horizontal surface and its center of mass has a translational speed of vcm = 8.00 m/s. The sphere then rolls without slipping up a ramp that is inclined at 37° above the horizontal. What is the magnitude of the friction force that the ramp exerts on the sphere while the sphere is rolling up the ramp?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Rotational Dynamics of Rolling Motion concept. You can view video lessons to learn Rotational Dynamics of Rolling Motion. Or if you need more Rotational Dynamics of Rolling Motion practice, you can also practice Rotational Dynamics of Rolling Motion practice problems.
How long does this problem take to solve?
Our expert Physics tutor, Jeffery took 4 minutes and 52 seconds to solve this problem. You can follow their steps in the video explanation above.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Ghosh's class at UCSD.