Answered: 8-10. calculate the moments of inertia…

8-10. calculate the moments of inertia with respect to both centroidal axes for the areas shown. 80 mm (a) 2/2 3D aud sym 300 mm 100-mm-diameter hole (b) 180 mm 600 mm

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.8P: Using integration, compute the polar moment of inertia about point O for the circular sector. Check...

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

8-10. calculate the moments of inertia with respect to both centroidal axes for the areas shown.
80 mm
(a)
2/2
3D aud
sym
300 mm
100-mm-diameter hole
(b)
180 mm
600 mm

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Step 1: Given data

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Step 2: Calculation of CG for given shaded area

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Step 3: Calculation of M.O.I of shaded area w. r. to colentroidal X axes

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Step 4: Calculation of M.O.I of shaded area w. r. to colentroidal X & Y axes

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Step 5: Calculation of CG for given shaded area

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Step 6: Calculation of M.O.I of shaded area w. r. to colentroidal X axes

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Step 7: Calculation of M.O.I of shaded area w. r. to colentroidal Y axes

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