The apparatus below is a massless wheel of radius that is mounted to a frictionless axle. A small, dense piece of clay with mass is glued to edge of the wheel as shown. Another mass hangs from a massless string that is wrapped around the wheel. We can assume the string is inextensible and does not slip, and the system is in a uniform gravitational field. In terms of the rotation angle of the wheel, write down the total potential energy of the system of both masses. Take note of any constraints that you use to write this as a 1D problem.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 68P: Shown below is a box of mass m1 that sits on a frictionless incline at an angle above the horizontal...
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The apparatus below is a massless wheel of radius that is mounted to a frictionless axle. A small, dense piece of clay with mass is glued to edge of the wheel as shown. Another mass hangs from a massless string that is wrapped around the wheel. We can assume the string is inextensible and does not slip, and the system is in a uniform gravitational field. In terms of the rotation angle of the wheel, write down the total potential energy of the system of both masses. Take note of any constraints that you use to write this as a 1D problem.
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