The shaded area shown is bounded by y axis and the curve y2 =(2.56−x)m2 , where x is in m. Suppose that a = 2.56 m and h = 1.6 m . Determine the moment of inertia for the shaded area about the y axis. Iy = ?

The shaded area shown is bounded by y axis and the curve y2 =(2.56−x)m2 , where x is in m. Suppose that a = 2.56 m and h = 1.6 m . 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 9.3P: The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4,...

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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 y axis and the curve y² =(2.56−x)m² , where x is in m. Suppose that a = 2.56 m and h = 1.6 m .

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

I_y = ?

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