Answered: The figure below shows a cast iron…

The figure below shows a cast iron pulley with a density of 7000kg/m3 . The spokes must be seen as slender rods. (All dimensions in mm) Determine: (a) Moment of Inertia (x-x) (b) radius of gyration

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 9.87RP

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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

The figure below shows a cast iron pulley with a density of 7000kg/m3
. The spokes must
be seen as slender rods. (All dimensions in mm)
Determine: (a) Moment of Inertia (x-x)
(b) radius of gyration

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