Moment of inertia of a music triangle

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SUMMARY

The moment of inertia of an equilateral triangle composed of identical rods of length 'l' and mass 'm' can be calculated using the parallel axis theorem. The discussion clarifies that approximating the rods as point masses is not valid for moment of inertia calculations. The correct approach involves applying classical mechanics principles and understanding the center of mass of the triangle.

PREREQUISITES
  • Understanding of moment of inertia concepts
  • Familiarity with the parallel axis theorem
  • Knowledge of classical mechanics principles
  • Ability to calculate the center of mass for composite shapes
NEXT STEPS
  • Study the application of the parallel axis theorem in detail
  • Learn how to calculate the moment of inertia for various geometric shapes
  • Explore the concept of center of mass in composite systems
  • Review classical mechanics principles related to rotational motion
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the moment of inertia in complex shapes.

zheng89120
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Moment of inertia of a "music triangle"

Homework Statement



Find the moment of inertia about an axis thru the centre of mass, perpendicular to the plane of an equilateral triangle consisting of identical rods of length 'l' and mass 'm' connected at their ends.

Homework Equations



Classical mechanics, maybe centre of inertia theorem (or whatever its called)

The Attempt at a Solution



not sure, is it possible to "approximate" the three rods as three point masses?
 
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zheng89120 said:
...
is it possible to "approximate" the three rods as three point masses?
No. Not for a moment of inertia problem.

Use the parallel axis theorem.
 


Is moment of interia similar to moments of mass?
 

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