1. The problem statement, all variables and given/known data Hi. I am a product designer and I'm looking for a way to solve the following: I have a toy bin (see jpeg) which currently does not pass a child safety test as it tips over under certain conditions and I need to change the dimensions so that it will pass this test. Dimensions of toy bin: Cylincrical plywood bin 18"h x 16.5"D. THere is a removable disc-shaped lid that is recessed into the bin by 1" Weight: 18.5 lbs. Wall thickness: 0.4" Test: The bin is placed on a 15 degree incline. There is a stopper at the low edge so the edge of the bin won't slide. A 50lb weight with center of gravity at 1.7" horizontally from outer edge of seating area and 8.7"vertically from seating area. This simulates a child sitting, tipping backward on the bin. The 50lb weight is placed on a 15 degree wedge to keep the weight vertical (and the wedge is accounted for in the COG values) Under these conditions, the bin tips over. I need to change the width and/or height (only these variables) so that it will not tip with a 50lb weight at the 15 degree incline. 2. Relevant equations I made this flash program to help me find the right values (includes diagram): http://sarahattwood.appliedinteractives.com/toyChestTall.html 3. The attempt at a solution I realized that this will never work - the 50lb weight will always make it tip over unless the toy bin is very very short or very very wide. I treated the bin as a 2d object with uniform weight distribution (?) and just calculated the areas and weights on either side of the fulcrum at equilibrium. This must be the wrong way to go about it! Can anyone help?