Which one of the following statements concerning center of mass is true? Some of

Question

Which one of the following statements concerning center of mass is true?

Some of the mass of an object must be located at is center of mass.

The center of mass of a symmetrically shaped object is at its geometric center.

The center of mass of an object will always follow a parabolic path when the object is undergoing projectile motion with no air resistance.

If a person's center of mass is exactly 2.5 feet below the person's head when they are standing up, then their center of mass may be in a different location relative to their head when they are sitting down.

Some of the mass of an object must be located at is center of mass.

The center of mass of a symmetrically shaped object is at its geometric center.

The center of mass of an object will always follow a parabolic path when the object is undergoing projectile motion with no air resistance.

If a person's center of mass is exactly 2.5 feet below the person's head when they are standing up, then their center of mass may be in a different location relative to their head when they are sitting down.

Explanation / Answer

Option 4 is correct, Explanation

a) Example: Say you have 2 balls of equal mass at some distance then centre of mass is present in between where there is no mass

b) g and density needs to be uniform for this condition

c) If g is not constant with height which is actually the case (there is a small variation of g with height), then trajectory is not parabolic

d) geometry of the body changes when you sit, like thighs become horizontal, so their contribution to the vertical position of centre of mass changes. Hence CM will change when sitting.

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