Center Definition and 1000 Threads

In physics, the center of mass of a distribution of mass in space (sometimes referred to as the balance point) is the unique point where the weighted relative position of the distributed mass sums to zero. This is the point to which a force may be applied to cause a linear acceleration without an angular acceleration. Calculations in mechanics are often simplified when formulated with respect to the center of mass. It is a hypothetical point where the entire mass of an object may be assumed to be concentrated to visualise its motion. In other words, the center of mass is the particle equivalent of a given object for application of Newton's laws of motion.
In the case of a single rigid body, the center of mass is fixed in relation to the body, and if the body has uniform density, it will be located at the centroid. The center of mass may be located outside the physical body, as is sometimes the case for hollow or open-shaped objects, such as a horseshoe. In the case of a distribution of separate bodies, such as the planets of the Solar System, the center of mass may not correspond to the position of any individual member of the system.
The center of mass is a useful reference point for calculations in mechanics that involve masses distributed in space, such as the linear and angular momentum of planetary bodies and rigid body dynamics. In orbital mechanics, the equations of motion of planets are formulated as point masses located at the centers of mass. The center of mass frame is an inertial frame in which the center of mass of a system is at rest with respect to the origin of the coordinate system.

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  1. ari-anne

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    I don't know how to find the center of gravity much less in this problem, so I just created a diagram of the pole with all the forces.
  2. J

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  3. Tomer Aman

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  4. Amik

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  5. Luke Tan

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  6. S

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  7. Indula

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  8. LordWhiplash

    I Why is the lowest energy level close to the center?

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  9. F

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  10. lLehner95

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  11. B

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  12. Nimarjeet Bajwa

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  13. Jelsborg

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  14. A

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    ?
  15. Euge

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  17. jisbon

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  18. Like Tony Stark

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  19. Seth Greenberg

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  20. paulmdrdo

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  21. Prabs3257

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  22. jordy1380

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  23. E

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  24. F

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  28. S

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  30. S

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  31. R

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  32. P

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  33. S

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  34. R

    What is the solution to the Center of Mass problem?

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  35. C

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  36. Lone Wolf

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  37. RicardoMP

    How to determine particle energies in center of momentum frame?

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  38. P

    I Center of Mass of a jetpack-Earth System

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  39. D

    How to find the center of mass of a cube?

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  40. D

    Find the center of mass of a plate

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  41. J

    Finding the POSITION of the center of mass

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  42. H

    Effect of the Location of the Center of Mass on the Falling Time....

    The set-up of the system is like the following: The thing is, a weight was attached to the meter stick and it was placed in different locations. Then the system composed of the meter-stick and the added weight was then released and the time it took for the meter stick to hit the floor was...
  43. E

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  44. Zack K

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  45. Athi Sankar

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  46. K

    Problem when calculating the center of mass of a triangle

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  47. Hiero

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  48. D

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  49. E

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  50. F

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