Finding the first moment with respect to an axis.

In summary, the problem involves finding the first moments of two component areas A1 and A2 with respect to the x-axis, which is drawn through the centroid C of the given area. The origin is taken to be at the bottom center and the Ybar is calculated to be 4.0833. To solve the problem, the integrations over all the different pieces must be split up.
  • #1
btbam91
91
0
Hey guys, I am having some trouble understanding this problem.

The horizontal x-axis is drawn through the centroid C of the area shown, and it divides the area into two component areas A1 and A2. Determine the first moment of each component area with respect to the x axis.

[PLAIN]http://img826.imageshack.us/img826/982/111110090100.jpg I took the origin to be at the bottom center.

For my Ybar, I got 4.0833.

I'm kind of stuck on how to go about finding the first moments.Thanks!
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Ugh, this problem looks tedious so I'm not actually going to do it, but I'll tell you how I'd do it. You want to split up the integrations over all the different pieces. If you start and post some work I'll try to check back and let you know how you're doing.
 

What does it mean to find the first moment with respect to an axis?

Finding the first moment with respect to an axis is a mathematical concept used in physics and engineering to calculate the distribution of mass or force around a given axis. It is essentially the product of the distance from the axis to each point of mass or force and the magnitude of that mass or force.

Why is finding the first moment with respect to an axis important?

Finding the first moment with respect to an axis is important because it allows us to calculate important physical quantities such as center of mass, moments of inertia, and torque. These quantities are important in understanding the motion and stability of objects.

How do you find the first moment with respect to an axis?

The first step in finding the first moment with respect to an axis is to identify the axis of interest. Then, you must calculate the distance from the axis to each point of mass or force, and multiply it by the magnitude of that mass or force. Finally, you add up all of these products to get the total first moment with respect to the axis.

What are some real-world applications of finding the first moment with respect to an axis?

Finding the first moment with respect to an axis has many real-world applications. For example, it is used in engineering to design structures that can withstand certain forces, in physics to understand the motion of objects, and in architecture to calculate the stability of buildings.

Are there any limitations or assumptions when finding the first moment with respect to an axis?

There are some limitations and assumptions when finding the first moment with respect to an axis. One limitation is that this calculation assumes that the mass or force is distributed uniformly around the axis. It also assumes that the axis is fixed and does not move. Additionally, this calculation does not take into account any external forces acting on the system.

Similar threads

Finding Second Moment of Inertia for Shaded Area Through Centroid?
    • Introductory Physics Homework Help
Replies
3
Views
1K
Moments Question Homework: Varignon's Theorem & Finding Axis
    • Introductory Physics Homework Help
Replies
1
Views
914
What mistake did I make in finding the reaction at hinge A?
    • Introductory Physics Homework Help
Replies
3
Views
940
Find the tension in the two strings
    • Introductory Physics Homework Help
Replies
7
Views
1K
Why Use the Parallel Axis Theorem with the Second Moment of AREA?
    • General Engineering
Replies
3
Views
2K
Moment of inertia of triangle about centroidal axis
    • Introductory Physics Homework Help
Replies
11
Views
102K
Moment of Inertia - Find Area Around Y-Axis
    • Introductory Physics Homework Help
Replies
1
Views
1K
Is there any shortcut for this lengthy problem?
    • Introductory Physics Homework Help
Replies
19
Views
2K
First moment of area and second moment of area
    • General Engineering
Replies
4
Views
3K
What is the process for finding the moment of inertia for a semicircle?
    • Introductory Physics Homework Help
Replies
6
Views
1K

Hot Threads

Recent Insights

Back
Top