Engineering Mechanics - Moments of Inertia - Discussion

Discussion Forum : Moments of Inertia - General Questions (Q.No. 1)
1.

Determine the radius of gyration ky of the parabolic area.

ky = 76.5 mm
ky = 17.89 mm
ky = 78.6 mm
ky = 28.3 mm
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
12 comments Page 1 of 2.

Prabhu said:   1 decade ago
I want explanation.
(1)

Phani said:   1 decade ago
Can any one explain this?
(1)

Chandu said:   1 decade ago
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:   1 decade ago
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

Malik said:   1 decade ago
How that I came?

Kwesiga Henry said:   1 decade ago
How is the area of the figure got?

Jaduo said:   10 years ago
I can't understand please help me!

Sai deep said:   10 years ago
Please give me explanation?

Pradeep said:   10 years ago
Area of parabola 4ah/3.

Kumar saim said:   9 years ago
You are correct @Chandu.

I'm also tried in the same way, it gives the same answer as yours.


Post your comments here:

Your comments will be displayed after verification.