Centroids and Moment of Inertia forcomposite figuresDetermine the centroids (x, ÿ) of the figure shownbelow from the axes of reference (blue arrows)Use the blue arrows as the axes of reference.30Take note that when the axis of reference is not at the end of the figure, the leftside / the downward side values must be negative using Varignon's Theorem.Ex: in finding x from the set y-axis, the value of the centroids of individual figureson the left is negative, while on the right side of the figure is positive.R20Determine the Moment of Inertia (Not Centroidal) ofthe given figure (Ix)20.451. Determine x 2.0508, 4.4548,9.4548 , 7.05082. Determine y 42.6086 , 49.6088 ,22.3436 ,55.44369879988.8980 , 8887788.8980,7998988.8980 , 8779988.89803. Determine Ix

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Engineering

Mechanical Engineering

Centroids and Moment of Inertia for composite figures

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 9.9P: Use integration to compute Ix and Iy for the parabola. Check your answers with the results for the...

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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

Centroids and Moment of Inertia for
composite figures
Determine the centroids (x, ÿ) of the figure shown
below from the axes of reference (blue arrows)
Use the blue arrows as the axes of reference.
30
Take note that when the axis of reference is not at the end of the figure, the left
side / the downward side values must be negative using Varignon's Theorem.
Ex: in finding x from the set y-axis, the value of the centroids of individual figures
on the left is negative, while on the right side of the figure is positive.
R20
Determine the Moment of Inertia (Not Centroidal) of
the given figure (Ix)
20.
45
1. Determine x 2.0508, 4.4548,9.4548 , 7.0508
2. Determine y 42.6086 , 49.6088 ,22.3436 ,55.4436
9879988.8980 , 8887788.8980,
7998988.8980 , 8779988.8980
3. Determine Ix

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