1. The problem statement, all variables and given/known data The following problem is taken from the MCAT Prep book ExamKrackers 1001 Physics Problems A board with mass m and center of mass C sits on fixed, rotating rollers separated by a distance L. The coefficient of friction between the board and the rollers is u. The board oscillates back and forth in simple harmonic motion at a frequency f with the center of gravity moving a distance d from the center of the rollers. The period of motion T is given by the equation above the figure. If a weight were placed on top of the board, which of the following would occur? A. Both f and d would decrease B. Both f and d would increase C. Both f and d would remain the same D. d would decrease and f would remain the same. 2. Relevant equations The given equation above. 3. The attempt at a solution To be honest I have no idea how to approach this question. From the equation above it would seem that period and therefore frequency does not depend on mass. Therefore this leaves the possible answer choices to options C and D. Assuming that d is like the amplitude I would think that increasing the normal force on the rollers by adding a mass would increase the restoring Force which would increase the acceleration and therefore the amplitude. Any insight would be appreciated.