The shaded area shown is bounded by x,y axes and the curve y2 = 3.24 − 0.5x m2 , where x is in m. Suppose that a = 6.48 m and h = 1.8 m . A) Determine the moment of inertia for the shaded area about the y axis. Iy = ?

The shaded area shown is bounded by x,y axes and the curve y2 = 3.24 − 0.5x m2 , where x is in m. Suppose that a = 6.48 m and h = 1.8 m . A) Determine the moment of inertia for the shaded area about the y axis. Iy = ?

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 9.49P: Determine the dimension b of the square cutout so that Ixy=0 for the region shown.

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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 shaded area shown is bounded by x,y axes and the curve y²= 3.24 − 0.5x m² , where x is in m. Suppose that a = 6.48 m and h = 1.8 m .

A) Determine the moment of inertia for the shaded area about the y axis.

I_y = ?

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