# How to calculate when an object will fall over

TL;DR Given the point of centre of mass, width of base and height, is there a way to calculate the angle where the object will fall over?

The TL;DR of this question pretty much sums it up, however I wanted to give an example.

Let us say that we have a cuboid made of uniform weight wood with the dimensions 10 (height) x 5 (width) x 5(breadth). Due to the fact that it is uniform weight, we can tell the CoM (centre of mass) will be at 5 x 2.5 x 2.5.

If we push the object, it will rotate around a turning point, for this let's say the right side (from our perspective) and it's angle will increase compared to the table. When the CoM reaches over the turning point, it will fall over and collapse.

Is there a mathematical way of working this out? Without experimentation, or are there other variables I need.

Note - First question, and I wasn't sure whether to post it on mathematics or physics. Do you think I posted on the wrong stackexchange site?

• "If we push the object, it will rotate around a turning point, for this let's say the right side (from our perspective) and it's angle will increase compared to the table. When the CoM reaches over the turning point, it will fall over and collapse." this seems to answer your question.
– Danu
Dec 5, 2014 at 8:31
• Ah, but how do you work out when the CoM reaches over the turning point? @Danu Dec 5, 2014 at 9:35