Understanding Center of Gravity: A Closer Look at Objects and their Balance

AI Thread Summary
The center of gravity (CG) of an object is not always located within its physical interior, as demonstrated by examples like kites and triangular structures made of rods. The CG can be outside the object if defined strictly by the presence of material, as in the case of a kite where its CG may depend on the tail's length and weight. The determination of CG relies on the object's geometry and mass distribution, which can be calculated using mathematical formulas involving integration. The definition of "interior" plays a crucial role in understanding CG placement. Overall, the location of the CG is influenced by both the object's shape and mass distribution.
r3dxP
[SOLVED] center of gravity ..

hi. i was wondering , is the center of gravity of an object always located in the interior of the object?
i think its not because for example, kite has a center of gravity outside its interior of itself right? please correct me and explain to me why this happens.. I am confused :?
 
Physics news on Phys.org
I guess it depends on how you define interior. If by interior you mean where there is physical material, then the answer is no. Example - imagine an object consisting of three rigid rods connecting to be a triangle, with equal masses at each corner (think tinker toys). The cg is at the centroid of the triangle (in mid air). If you consider the interior to include the surface of the triangle, then the cg is in the interior. In the case of a kite, I think it depends on how long the tail is and how much it weighs.

Don't know if there is an easy answer why or why not. There is a mathemical formula (involving integration) to determine the cg of an object. The location of the cg is entirely dependent on the geometry of the object and the distribution of mass.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top