- #1

madmax2006

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I'm trying to figure out the radius of gyration of the frame about O.

A rectangular frame is put together with massless rods having identical 1.8 lb weights placed at the corners as shown in the figure. The frame is pivoted about an axis passing through O, the center of mass of the system, perpendicular to the paper.

a) Find the angular acceleration of the frame about O

b) Find the radius of gyration of the frame about O

Angular acceleration of the fram about O =

I

I

I can't find an equation for b) and I can't find anything about "radius of gyration" in my book. Is there another name for it?

I found R = [tex]\sqrt{I/m}[/tex] On wiki & a few other sites..

[tex]\sqrt{101.4kg ft^2 / 7.2kg}[/tex]

=

3.75ft

## Homework Statement

A rectangular frame is put together with massless rods having identical 1.8 lb weights placed at the corners as shown in the figure. The frame is pivoted about an axis passing through O, the center of mass of the system, perpendicular to the paper.

a) Find the angular acceleration of the frame about O

b) Find the radius of gyration of the frame about O

## Homework Equations

Angular acceleration of the fram about O =

I

_{cm}= 1/12(M(a^{2}+ b^{2}))I

_{cm}= 101.4kg ft^{2}I can't find an equation for b) and I can't find anything about "radius of gyration" in my book. Is there another name for it?

I found R = [tex]\sqrt{I/m}[/tex] On wiki & a few other sites..

## The Attempt at a Solution

[tex]\sqrt{101.4kg ft^2 / 7.2kg}[/tex]

=

3.75ft

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