I'm having difficulty in making two methods of the calculation of center of mass come out equivalently. One method is via intuition and the other is via standard formula. 1. The problem statement, all variables and given/known data Find the center of mass of a semi-circular band of length L and mass M, and represent it in terms of [tex]\alpha R[/tex]. http://www.olypen.com/mdpsoul/physhelp/band-cm.png [Broken] 2. Relevant equations http://olypen.com/mdpsoul/physhelp/book.png [Broken] 3. The attempt at a solution http://olypen.com/mdpsoul/physhelp/intuit.png [Broken] http://olypen.com/mdpsoul/physhelp/forumla.png [Broken] Can anyone track down the problem here?