Stability depends on center of mass position and base width

Steps:

• Identify that stability requires the vertical line from the center of mass to stay within the base of support when tilted.
• Note that lower center of mass height reduces tipping tendency by increasing the angle needed for the projection to exit the base.
• Recognize that wider base allows greater tilt before instability occurs.
• Compare options: same CM height with larger base enhances stability, as in option C.

Why C is correct:

• With centers of mass at the same height, a larger base widens the support area, requiring more tilt for the center of mass projection to fall outside, aligning with the physics of equilibrium and torque.

Why the others are wrong:

• A: Larger base increases stability for same CM height, opposite of stated.
• B: Higher centers of mass and smaller bases reduce stability by easing tipping.
• D: Higher center of mass for identical bases decreases stability, as it lowers the tipping threshold.

Final answer: C