At what angle θ will the cylinder of height h and radius r will tumble?

[Lebkuchen22]

1. [One of the curators at the art museum is tilting a large cylinder backward. At what angle θ will the cylinder of height h and radius r will tumble?]


3. The Attempt at a Solution [I know that the angle at which it tilts is when the cog moves beyond the supporting edge. Also, I know that length = h and width = 2r. How do I find that angle with this?]

 

[rl.bhat]

Draw vertical lines from cog when it is straight and tilted. In the second case this vertical line must pass through the supporting edge. Angle between these vertical lines is the required angle.

 

[Lebkuchen22]

Does that leave us with tan(theta) = (2r/ h)?

 

[rl.bhat]

That is right.