In my CGP book it says that an object will always balance around the centre of mass point, but for some objects, the COM lies outside the object, so what happens here? does that mean the object can never balance?
In my CGP book it says that an object will always balance around the centre of mass point, but for some objects, the COM lies outside the object, so what happens here? does that mean the object can never balance?
The centre of mass is what happens if you find an average position of all masses of all particles in the object, so for a donut then the centre of mass is in the hole in the middle. For physics at your level it is a good enough approximation when it comes to equilibrium. But these objects can balance
In my CGP book it says that an object will always balance around the centre of mass point, but for some objects, the COM lies outside the object, so what happens here? does that mean the object can never balance?
No, it just means that the COM is keeping your balance, essentially. It doesn't necessarily always mean that the COM is something physical which you can hold to balance yourself. So for example, if there is a high jump runner, and they use their back to jump over the rod (overused example, I know), then at some point, their COM is outside their body. So the COM is keeping in check their balance. If the body turns more than a certain angle, perpendicular, for example, to the COM, the runner will fall. However the runner cannot exactly hold his COM to keep himself in check.