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Understanding Statics and Equilibrium: Center of Gravity and Real-World Applications

This guide covers essential concepts in statics, including equilibrium conditions and the center of gravity (cg). It provides practical examples, such as a scenario involving a 70kg student on a board and a concrete pillar under load. Key topics include static equilibrium, stability of rotational equilibrium, and calculations of stress, strain, and shear modulus. Gain insight into how these principles apply in real-life physics problems, helping to better understand forces and balances in static systems.

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Understanding Statics and Equilibrium: Center of Gravity and Real-World Applications

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  1. 12 Statics • equilibrium • center of gravity • examples

  2. Conditions for Equilibrium

  3. Center of Gravity, cg • center of gravity: the average location of weight

  4. 12-3Some Examples of Static Equilibrium

  5. Q: A 70kg student lies along a board with a fulcrum at one end and a scale 2.0m away at the other end. The top of his head is directly above the fulcrum. When he is on the board as described the scale reading is 250N more than when he is off the board. Where is the cg of the student?

  6. Omit 12-6Stability of Rotational Equilibrium 12-4Couples 12-5Static Equilibrium in an Accelerated Frame 12-7Indeterminate Problems

  7. End

  8. normal force on wheel  0

  9. 12-8Stress and Strain

  10. Q: What % shortening of a 50cm diameter concrete pillar occurs when a 20 000 kg truck is balanced on top of it? What is the maximum load in kg?

  11. A cube 50cm per side suffers shear strain of 1% when a shear force of 10 000N is applied along two opposite faces. What is the shear modulus of this material?

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