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Notes for Stability

•  Stability is a measure of an object’s ability to maintain its original position and can be explained by the position of its centre of gravity and moment of force due to its weight.
•  Centre of gravity (CG) of any object is defined as the point through which it whole weight appears to act.
• An external agent exerts a force on the object and the object is tilted through an angle away from the original position due to the force. The original position of the object is the position that the object takes before the action of the external agent. The part of the object which is still in contact with the ground/fixed point when the object is tilted is known as the contact point.
•  Most objects topple when they are tilted through a sufficiently large angle away from the original position.
•  An object can be in stable, unstable or neutral equilibrium.
•  An object is said to be in stable equilibrium if when slightly tilted (small angle away from the original position), it will return to its original position.
•  When slightly tilted, the CG of an object in stable equilibrium will rise. The line of action through its weight (i.e., the vertical line through the CG) still lies within its base. A moment due to its weight about the contact point (pivot) will cause the object to return to its original position.
•  An object is said to be in unstable equilibrium if when slightly tilted, it will topple over.
•  When slightly tilted, the CG of an object in unstable equilibrium will lower. The line of action through its weight will lie outside its base. A moment due to its weight about the contact point will cause the object to move away from the original position.
•  An object is said to be in neutral equilibrium if when slightly tilted, it remains in the new displaced position. Only objects with symmetrical forms (e.g. sphere) can be in neutral equilibrium.
•  When slightly tilted, the CG of an object in neutral equilibrium will remain at the same height. The line of action through its weight will lie within its base. No net moment is generated and it will remain in its new displaced position.
•  The more stable an object is, the larger the angle it can be tilted away from the original position before the line of action through its weight lie outside its base.
•  An object can be made more stable by lowering its CG or increasing its base area. Since the CG of an object is usually located near the region that has more mass, having more mass at the bottom can lower the CG of the object.

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