The center of mass of an object?

Question

(a) Always lies at the center of the object,
(b) Is at the location of the most massive particle in the object,
(c) Always lies within the object,
(d) None of the above?

Answer 1

The center of mass of a mass structure is always located within the mass itself.
It is the average point where all gravitational power converges.

Answer 2

set up a coordinate equipment with your hundreds. you comprehend the x coordinate of the middle of mass lies alongside L (because of the symmetry), so locate the Y coordinate placed the 6 kg hundreds at (-3/2,0) and (3/2,0) and the 15 kg mass at (0, (sqrt27)/2)...that's an equilateral triangle with factors of length 3 use the formulation YM = y1m1 + y2m2 + y3m3, the place Y is the y coordinate of the middle of mass, M is the sum of the three hundreds, and y1, y2, and y3 are the y coordinates of the three hundreds. because of the fact that 2 of the masses are placed on the x-axis, y = 0 Y(27) = 15*(sqrt27)/2 + 6*0 + 6*0 resolve for Y

Answer 3

It's (A) because it's the center of mass. It's the mass-weighted center of the object.

Answer 4

Answer is (d) none of the above.
Take a washer; the C.G. is in the middle of the hole.

Answer 5

d is true