Asap within 30 minutes will definitely upvote plz (handwritten solution acceptable) >, the moment of inertia of a composite areawith respect to a reference axis is equal to thealgebraic sum of the moment of inertia of thecomponents with respect to the same axis. In findingthe moment of inertia of the components with respectto the desired axis, the parallel-axis theorem issometimes necessary.Thus, I₂ = Ī + Aď² and Iy = Īy + Ad²„where I and I are the moments of inertia of anarea about its centroidal axes, A is the entire area,and dy and d are the perpendicular distancesbetween the parallel axes.Compared to the integration method, this summationmethod is a simpler one for determining the momentsof inertia of areas. ▼mnyAm *+n+nPart B - Moment of inertia of the composite area about the x axismXThe moment of inertia of the triangular shaped area is I₂ = 5.40 x 105 mm4. Given m = 60.0 mm and n = 30.0 mm,calculate the moment of inertia of the shaded area shown (Figure 1) about the x axis.

Given Data The moment of inertia of the triangular shaped area is:Ix1=5.40×105 mm4 m=60 mm n=30 mm…

Answered: braic sum of the moment of inertia of…

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braic sum of the moment of inertia of th ponents with respect to the same axis

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

Asap within 30 minutes will definitely upvote plz (handwritten solution acceptable)

>, the moment of inertia of a composite area
with respect to a reference axis is equal to the
algebraic sum of the moment of inertia of the
components with respect to the same axis. In finding
the moment of inertia of the components with respect
to the desired axis, the parallel-axis theorem is
sometimes necessary.
Thus, I₂ = Ī + Aď² and Iy = Īy + Ad²
„
where I and I are the moments of inertia of an
area about its centroidal axes, A is the entire area,
and dy and d are the perpendicular distances
between the parallel axes.
Compared to the integration method, this summation
method is a simpler one for determining the moments
of inertia of areas.

▼
m
n
y
A
m *+n+
n
Part B - Moment of inertia of the composite area about the x axis
m
X
The moment of inertia of the triangular shaped area is I₂ = 5.40 x 105 mm4. Given m = 60.0 mm and n = 30.0 mm,
calculate the moment of inertia of the shaded area shown (Figure 1) about the x axis.

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