Question

Consider a planar lamina whose density function is given by delta(x,y), measured in kg/m^2. Assume x...

Consider a planar lamina whose density function is given by delta(x,y), measured in kg/m^2. Assume x and y are measured in meters.

What are the units of the first moment of the region about the x-axis?

What are the units of the second moment of the region about the x-axis?

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Answer #1

First moment of inertia depends on mass and it's distance r from axis of rotation.while second moment of inertia depends on mass and square of its distance from axis of rotation.

So unit of first moment of inertia is kg-m

Unit of second moment of inertia is kg-m2

Hope this will help!

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