- #1
recoil33
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Solved, thank you.
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How Do You Find the Center of Gravity of a Non-Uniform Plank?
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SUMMARY
The discussion focuses on calculating the center of gravity of a non-uniform plank supported by three trestles. The plank is 4.00 meters long, with vertical reactions of 1.00 x 102N and 3.00 x 102N at the ends, and 4.00 x 102N at the middle. To find the center of gravity, participants confirm that the moment of forces equation should be used instead of a simple mass-based equation. The correct approach involves ensuring that the sum of the moments of the forces acting on the beam equals zero.
PREREQUISITES- Understanding of static equilibrium principles
- Familiarity with moment of forces calculations
- Basic knowledge of non-uniform density concepts
- Ability to apply Newton's laws in practical scenarios
- Study the principles of static equilibrium in physics
- Learn how to calculate moments of forces in various contexts
- Explore the concept of center of gravity in non-uniform objects
- Review examples of beam loading and support reactions
Students in physics, engineers involved in structural analysis, and anyone interested in mechanics and the behavior of non-uniform materials.
- #2
tiny-tim
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Hi recoil33! 
Sort-of …
but you're not actually using masses, are you?
Technically, you should be using a moment of forces equation: the sum of the moments of the four forces on the beam (three reaction forces and the weight) has to be zero.
recoil33 said:
Sort-of …
but you're not actually using masses, are you?
Technically, you should be using a moment of forces equation: the sum of the moments of the four forces on the beam (three reaction forces and the weight) has to be zero.
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