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Unformatted text preview: (e) Is the equilibrium stable or unstable? 2. Consider a thin uniform disk of mass M and radius a . Find the force on a mass m located along the axis of the disk directly by integrating the force equation d F =-Gm dM r 2 r (2) Hint: . Use the symmetry of the problem so that you only need to consider the vertical (on-axis) component of d F acting on m . 3. Using Gauss law, calculate the gravitational eld g at a distance r from an innitely long cylindrical rod of mass density per unit length. 1...
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This note was uploaded on 09/20/2010 for the course AMATH 261 taught by Professor Rogermelko during the Spring '10 term at Waterloo.
- Spring '10