1. The problem statement, all variables and given/known data (Q) A uniform marble rolls down a symmetric bowl, starting from rest at the top of the left side. The top of each side is a distance h above the bottom of the bowl. The left half of the bowl is rough enough to cause the marble to roll without slipping but the right half is frictionless. (a) How far up the smooth side will the marble go, measured vertically from the bottom? (b) How high up would the marble go if both sides were as rough as the left hand side? (c) How do you account for the fact that the marble goes higher up with friction on the right side than without friction? 2. Relevant equations KE = (1/2)MV^2 + (1/2)IcmW^2. PE = mgh 3. The attempt at a solution I am completely blank. How do I account for the friction on just the right hand side? Since the bowl is symmetrical, can I take its radius to be h? Is it ok to say that the angular displacement of the marble is pi/2 from top to bottom? Pleeeaseeeee help!!!!