fusso - 28-7-2019 at 08:08
Chemistry related maths question:
Some liquid is in a cylindrical bottle (assume lid mass negligible). What is the height of the centre/center of gravity (from the ground) with respect
to the height of liquid?
You should consider variables like liquid and container densities etc.
What height of CG is least likely to be knocked over accidentally?
Sulaiman - 28-7-2019 at 08:31
unanswerable due to insufficient data, most importantly ;
type of disturbing force, densities of bottle and fluid, bottle wall thickness, viscosity of liquid
- a little molasses in a thin-walled plastic bottle will be difficult to tip due to the very low centre of gravity
- a steel bottle full of mercury may be even less likely to be knocked over due to its mass
[Edited on 29-7-2019 by Sulaiman]
Metacelsus - 28-7-2019 at 08:51
If it's a cylinder, then the liquid's center of mass will be halfway up the liquid height. The empty bottle's center of mass would likewise be halfway
up its height. The combined center of mass can be calculated as the weighted average of the two.