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Engineering Mechanics - Moments of Inertia - Discussion

@ : Home > Engineering Mechanics > Moments of Inertia > General Questions - Discussion

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"Two things are infinite: the universe and human stupidity; and I'm not sure about the universe."
- Albert Einstein
1. 

Determine the radius of gyration ky of the parabolic area.

[A]. ky = 76.5 mm
[B]. ky = 17.89 mm
[C]. ky = 78.6 mm
[D]. ky = 28.3 mm

Answer: Option C

Explanation:

No answer description available for this question.


Prabhu said: (Tue, Jul 5, 2011 12:21:46 AM)    
 
I want explanation.

Phani said: (Sat, Aug 13, 2011 07:10:10 PM)    
 
Can any one explain this?

Chandu said: (Wed, Aug 17, 2011 11:13:50 AM)    
 
Hai frnds i solve it........


Ky=root over Iy/A
Iy=moment of inertia with respect to y-axis
A=area

dI=dA*r^2 (r is radius)

dI=0.1(1600-x^2)x^2 dx
integrate both sides,limits are 0 to 40
and multiple with 2

we get
I=2730666
here dA=y dx(here y=0.1(1600-x^2))
integrate both sides, limits are 0 to 40
and multiple with 2

A=8533

substitute the values of I,A in Ky we get

Ky=17.89mm

Crazy Man said: (Fri, Aug 3, 2012 08:02:24 PM)    
 
Ky=root over Iy/A
Iy=moment of inertia with respect to y-axis
A=area

dI=dA*r^2 (r is radius)

dI=0.1(1600-x^2)x^2 dx
Integrate both sides, limits are 0 to 40
And multiple with 2

we get
I=2730666
Here dA=y dx(here y=0.1(1600-x^2))
Integrate both sides, limits are 0 to 40
And multiple with 2

A=8533

Substitute the values of I, A in Ky we get

Ky=17.89mm

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