Question

• Determine moment of Inertia of a rectangular
section 100 mm wide x 200 mm deep about an
axls passing through the centroid and parallel to
100 mm side. Also determine radius of gyration
about the same axis and the MI. about its base.​

Answer 1

Answer:

200feet and answers Utkarsh Ravindra and classification of motion

Step-by-step explanation:

Ghumare

Answer 2

Given:

Width of the rectangular section = 100mm

Depth of the rectangular section = 200mm

To find:

Moment of inertia about an axis passing through the centroid parallel to the base.

Radius of gyration

Moment of inertia about its base.

Solution:

Given

the width of rectangle, b = 100mm

The depth of rectangle, h = 200 mm

Moment of inertia about an axis passing through the centroid parallel to the width will be given by

MI1 = $\frac{bh^3}{12}$

MI1 = 66.66 x $10^6$ $mm^4$

The radius of gyration will be equal to = $\frac{h}{\sqrt{12} }$

r = 57.8 mm

Now

The moment of inertia about the base will be

MI2 = $\frac{bh^3}{3}$    

MI2 = 266.66 x $10^6$ $mm^4$

The moment of inertia about an axis passing through the centroid parallel to the base will be 66.66 x $10^6$ $mm^4$.

The radius of gyration will be 57.8 mm

The moment of inertia about its base will be 266.66 x $10^6$ $mm^4$