I started looking into the operation of a really simple machine called the "Herodotus Machine". A quick Google search gives some good info on it https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=Herodotus+Machine . I wanted to use a block that was taller than it was wide and determine first what force would be needed to tilt it from a level position to its tipping point. Here is my work on the counter clockwise rotation of the block. Tilting it back to a level position requires more force and below is what I believe is a correct for calculating that force, moving the block in a clockwise direction. What has perplexed me is how to calculate this action when one uses a cross beam, across the top of the block, to tilt it back and forth. I would sure appreciate some help in solving the missing values in the next image. I set the Mechanical Advantage provided by the cross beam to 4. The missing values I'd like to come up with are in red. One point to consider, does the height of the block make any difference in the calculation. If it doesn't, then the force needed to tilt in the previous examples are irrelevant. If that is the case then what would be the force needed to tilt the block from a level position and from a tilted position with a beam that could provide a MA of 4.