Inertia Definition and 1000 Threads

Inertia is the resistance of any physical object to any change in its velocity. This includes changes to the object's speed, or direction of motion.
An aspect of this property is the tendency of objects to keep moving in a straight line at a constant speed, when no forces act upon them.
Inertia comes from the Latin word, iners, meaning idle, sluggish. Inertia is one of the primary manifestations of mass, which is a quantitative property of physical systems. Isaac Newton defined inertia as his first law in his Philosophiæ Naturalis Principia Mathematica, which states:

The vis insita, or innate force of matter, is a power of resisting by which every body, as much as in it lies, endeavours to preserve its present state, whether it be of rest or of moving uniformly forward in a straight line.
In common usage, the term "inertia" may refer to an object's "amount of resistance to change in velocity" or for simpler terms, "resistance to a change in motion" (which is quantified by its mass), or sometimes to its momentum, depending on the context. The term "inertia" is more properly understood as shorthand for "the principle of inertia" as described by Newton in his first law of motion: an object not subject to any net external force moves at a constant velocity. Thus, an object will continue moving at its current velocity until some force causes its speed or direction to change.
On the surface of the Earth, inertia is often masked by gravity and the effects of friction and air resistance, both of which tend to decrease the speed of moving objects (commonly to the point of rest). This misled the philosopher Aristotle to believe that objects would move only as long as force was applied to them.The principle of inertia is one of the fundamental principles in classical physics that are still used today to describe the motion of objects and how they are affected by the applied forces on them.

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  1. Z

    Automotive Inertia effects of components on a car vs mass fixed in car

    This is a pretty hot and rarely understood topic in the automotive / racing industry. Sure, everyone knows spinning mass on a car is worse than mass sitting in a car. its effects are greater, but by how much? Besides the benefits of the unsprung weight having less gyroscopic forces...
  2. B

    How Does Rotational Inertia Affect the Motion of a Sphere on a Moving Ramp?

    1. Homework Statement A solid sphere (mass of m, radius of r and I=2/5 mr2) is rolling without slipping on a rough surface with a speed of v. A ramp (mass of 2m and angle of θ) rests on a smooth surface and is free to slide on the surface. As the ball rolls up the ramp, the ramp begins to move...
  3. C

    What is the Moment of Inertia of a Cone about its Longitudinal Axis?

    Homework Statement Find the moment of inertia of a solid cone about its longitudinal axis (z-axis) The cone: x^2+y^2<=z^2, 0<=z<=h I_z = \int\int\int_T(x^2+y^2)dxdydzHomework Equations Representing the cone in cylindrical coords: x=zcos\theta y=zsin\theta z=z The Attempt at a Solution...
  4. M

    Moment of inertia of a rod at an angle to the axis

    suppose a uniform rod of mass M and length L is at an angle B to the x axis, one end of the the rod touching the axis. wish to find moment of inertia about x axis. let the rod touches the axis at x=0. let D=density=M/L, and I will integrate along x axis, that means that at a distance x from the...
  5. V

    Find Mass of Object X for Centre of Inertia to Match Vehicle Tyre's Axis

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  6. S

    Polar moment of inertia in a rod?

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  7. Puma

    Non-linear inertia from rest seems common?

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  8. H

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  9. C

    Exploring the Concept of Center of Inertia: A Scientific Perspective

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  10. S

    Polar mass moment of inertia *and* simply moment of inertia

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  11. O

    Does Pushing an Object in Space Result in Infinite Kinetic Energy?

    By Newton's second law of motion - inetia,we know that if we push a body in space it will keep moving forever (if nothing stops it) (am I wrong?) but when I think about conservation of energy law I am starting to have problems- let's say that I pushed a body in space,the energy converted into...
  12. T

    Calculating the moment of inertia of a filled cylinder

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  13. T

    Tensor moment of inertia -- why is there a "-" sign?

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  14. gracy

    Moment of Inertia: Ignoring Small Bond Axis Molecule

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  15. 462chevelle

    Moment of Inertia power plant energy

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  16. C

    Valuations and places - decomposition and inertia group

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  17. R

    What is the correct way to find the inertia of a bullet entering a door?

    I am having trouble with this one problem. I have tried multiple times to solve it, but come up with the same wrong answer every time. The mistake that I may be making is in finding the Inertia of the bullet entering the door: I figured that some mass at the given radius from the hinge of the...
  18. W

    Pendulum Equilibrium: Can It Pass Balance Point Twice?

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  19. R

    Moment of Inertia - center of a rod w/ unequal distribution

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  20. D

    Conservation of Energy falling rod

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  21. andyrk

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  22. A

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  23. M

    Calculating Mass Moment of Inertia for Slider Crank | Explained

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  24. E

    Finding Rotational Speed once the Moment of Inertia Increase

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  25. T

    How Do You Calculate the Moment of Inertia for a Door?

    Homework Statement A uniform, thin, solid door has height 2.2 m, width .87m and mass 23kg. Find the moment of inertia for rotation on its hinges. 2. Homework Equations I=∫x^2dm The Attempt at a Solution [/B]The way I set it up was that I made into strips of length H (height) and width dr...
  26. R

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  27. B

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  28. P

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  29. L

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  30. Crush1986

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  31. S

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  32. Q

    Moment of Inertia of a rod and two spheres

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  33. S

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  34. C

    How to Graph Moment of Inertia and Frictional Torque?

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  35. D

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  36. L

    The moment of inertia of a rod that is rotating off the end of the rod.

    Is there a formula for the moment of inertia? A thin, uniform density rod is rotating about an axis that is off the end of the rod, so it looks a bit like this: ------- | (------- is the rod and | is the axis of rotation, so the rod is rotating out of the plane of your screen) I just have...
  37. S

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    Homework Statement Disk with radius R σ = M/A I = ∫ mr2 Homework Equations Today we learned how to derive various moments of inertia via density equations (M/L, M/A, M/V). I understand all of them except on how to get MR2/2 for a disk. The Attempt at a Solution I = ∫mr2 σ = M/A dM =...
  38. M

    A spinning space station exhibits a change in moment of inertia.

    Homework Statement A space station shaped like a giant wheel has a radius 95.0 m and a moment of inertia of 5.03✕ 108 kg · m2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g. When 100 people move to the center of the...
  39. C

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  40. L

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  41. Aristotle

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    Homework Statement Homework Equations I= ∑ miri^2 ? The Attempt at a Solution I'm not sure on how to start this problem. How exactly do I know which one is IA, IB, IC since it didnt specify? Can somebody please hint me in solving this problem?
  42. K

    Complex Moment of Inertia Calculation

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  43. mokeejoe5

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  44. B3NR4Y

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    Homework Statement For my second thread of the day I will give the weirdest problem I've encountered in physics yet. In the mobile what is the inertia of the giraffe mgir in terms of the inertia mm of the monkey? Homework Equations I = md2 The Attempt at a Solution In the picture, the giraffe...
  45. Z

    Calculating Inertia at Output: Motor with 140gcm2 Rotor Inertia & 71:1 Gearhead

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  46. M

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  47. N

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  48. B3NR4Y

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  49. B

    Understanding Inertia to its Uses and Importance in Physics

    The force of inertia is the property common to all bodies that remain in their state, either at rest or in motion, unless some external cause is introduced to make them alter this state.Is the concept of inertia still used? When is it useful as a fictitious force? Can you list a few situations...
  50. B

    Calculating Principle Moments of Inertia

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