Finding Min Height to Prevent Crate from Tipping

[mattmannmf]

So the problem states that I have a crate that is 24 inch wide. it weighs a 120 ib (roughly 2590N) and I have to determine a) the force required to move the cabinet to the right &
b) min height so the crate doesn't tip

part a was easy, it came out to be 777N. I am just stuck on the min height (b).

I am sure I need to use something involved with summing the moments up but I am stuck with what to sum up.

perhaps its:

Sum moments=0 = (777)(h) - (2590)(12)
where h is the max height for tipping
the 2590 is the weight of the crate (N)
and the 12 is where the center of the weight lies (inch)
and 777 is the force required to move the cabinet to the right (N)

and help please?

 

[NateD]

Yes, you are correct. Solving for h, the minimum height for the crate not to tip is:h = (2590 x 12)/777 h = 32.4 inches