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parttime
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but not sure which rod uses which formula
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Help calulating the monent of inertia
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In summary, three identical thin rods of length L and mass M are welded perpendicular to each other. The moment of inertia of the structure can be determined by using the formulas Icm= 1/12 ML^2 for rod A and B, and I=1/3ML^2 for rod C, if the pink line is the axis of rotation passing through the end of rod C. The moment of inertia for rod A can be found by considering the distance of its particles from the axis, while for rod B, the parallel axis theorem must be used. With this understanding, the conversation concludes.
but not sure which rod uses which formula
- #2
mukundpa
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If the pink line is passing through the end of C then the MI for Rod C is 1/3ML^2.
For MI of A, think of the distance of different particles of the rod A from the axis.
For MI of B you have to use Parallel axis theorem. Go through it.
MP
For MI of A, think of the distance of different particles of the rod A from the axis.
For MI of B you have to use Parallel axis theorem. Go through it.
MP
- #3
parttime
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thanks i got it now
FAQ: Help calulating the monent of inertia
What is the moment of inertia?
The moment of inertia is a measure of an object's resistance to change in its rotational motion. It is dependent on the object's mass, shape, and distribution of mass.
Why is it important to calculate the moment of inertia?
Calculating the moment of inertia allows us to understand an object's rotational behavior and predict how it will respond to external forces. It is crucial in designing machines, vehicles, and other structures that involve rotational motion.
How do you calculate the moment of inertia?
The moment of inertia is calculated using the formula I = ∫r^2 dm, where r is the distance from the axis of rotation to a small element of mass dm. This integral is taken over the entire mass of the object.
What is the unit of measurement for moment of inertia?
The unit of moment of inertia depends on the units used for mass and distance. In the SI system, it is measured in kg*m^2. In the US customary system, it is measured in slug*ft^2.
How does the moment of inertia differ from an object's mass?
The moment of inertia is a measure of an object's resistance to rotational motion, while mass is a measure of the object's resistance to linear motion. An object's mass remains constant regardless of its motion, while its moment of inertia can change depending on its shape and distribution of mass.