# Problem relating to centroid

Not what you're looking for?

The asking problem:

For the semiannular area, determine the ratio of r1 to r2 for which the centroid of the area is located at

x=-1/2*r2 and y=0.

Note: This problem is a 2D problem and not a 3D. It was taken from the «Distributed forces: Centroids and Centers of Gravity» section of my static course. The files is in word97 format for PC and not for Mac.

So, my question is how can I find this ratio of r1 to r2? I have none idea about that!!

If you will check your answers:

The response is 0.520

##### Purchase this Solution

##### Solution Summary

The semiannual area is examined. The ratio for the centroid of the area is determined.

##### Solution Preview

First, we need to solve for the x-coordinate of the centroid using the general equation. Then we can equate this with the given x-coordinate of the centroid (-r2/2), and then solve for the ratio r1/r2. See attached for details.

We are given a value of the centroid of -r2/2. We are told to find the ratio of r1/r2 that gives this value of the centroid, so we need an equation for the centroid, that we can equate to the given value. The centroid is a position (x, y). The general equation for an individual coordinate of the centroid of an object is:

where d indicates the integral is over all space, () is the density of the object as a ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.