Calculate Moment of Inertia: Axis of Object in Figure | L, M, m1, m2

In summary, the conversation discusses determining the moment of inertia of an object about an axis, with the given variables of L, M, m1, and m2. The person has tried two different equations and there is a mention of the separate moments of inertia for the constituents of the object.
  • #1
dtesselstrom
31
0
Determine the moment of inertia about the axis of the object shown in the figure. Enter your answer in terms of L, M, m1, and m2.
 

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  • #2
What have you tried so far?

By the way, this belongs in the homework section.
 
  • #3
ok sorry for posting in wrong section.
Ive tried 1/12(m1+m2+M)*L^2 and 1/12(m1+m2+M)*L^2+1/4*m1*L^2-1/16*m2*L^2
 
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  • #4
The moment of inertia of an object about an axis is just the sum of the moments of inertia of its constituents about that axis; i.e. in this case:
[tex]I=I_{rod}+I_{m1}+I_{m_2}[/tex]

What do you get for these separate moments of inertia?
 

FAQ: Calculate Moment of Inertia: Axis of Object in Figure | L, M, m1, m2

What is Moment of Inertia?

Moment of Inertia is a physical property of an object that determines how resistant it is to changes in its rotational motion.

How is Moment of Inertia calculated?

The Moment of Inertia of an object can be calculated by multiplying the mass of the object by the square of its distance from the axis of rotation.

What is the importance of Moment of Inertia?

Moment of Inertia is important because it helps in understanding an object's rotational behavior and predicting how it will respond to external forces.

How does Moment of Inertia differ from Mass and Weight?

Moment of Inertia is a measure of an object's resistance to rotational motion, while mass is a measure of its resistance to linear motion and weight is a measure of the force of gravity acting on an object.

What are some real-life applications of Moment of Inertia?

Moment of Inertia is used in various engineering fields, such as designing structures and machines, as well as in sports equipment, such as golf clubs and gymnastics equipment.

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