AAPT UNITEDSTATES PHYSICS TEAM AIP 2007 (14 pts)b.In order for this system to work correctly,it is necessary to have the correct ratio between the mass of the block and the mass of the plate.These masses are chosen so that the downward moving block and plate just stop at point B while the upward moving plate just stops at point.Find the ratioRM m (13 pts)c.The system delivers blocks to point B with period To,until the blocks run out. the plate alone oscillates with a period Find the (13 pts)d.The plate only oscillates a few times after delivering the last block.At what distance up the incline,measured from point B,does the plate come to a permanent stop? Copyright 2007,American Association of Physics TeachersCopyright © 2007, American Association of Physics Teachers (14 pts) b. In order for this system to work correctly, it is necessary to have the correct ratio between the mass of the block and the mass of the plate. These masses are chosen so that the downward moving block and plate just stop at point B while the upward moving plate just stops at point A. Find the ratio . M R m = (13 pts) c. The system delivers blocks to point B with period , until the blocks run out. After that, the plate alone oscillates with a period T T0 ′ . Find the ratio T0 T′ . (13 pts) d. The plate only oscillates a few times after delivering the last block. At what distance up the incline, measured from point B, does the plate come to a permanent stop?