9.18 Compute I, and I, for the region shown.40 mm40 mm68 mm66 mm66 mmFig. P9.1818.42 x 10° mmAnswer: I, = 48.7 x 10° mm, I,Problem 59.20 Calculate I, for the shaded region, knowing that y = 68.54 mm.Answer: 12.96 x 10° mm603025902080Dimensions in mm Problem 19.2 The properties of the plane region are Jc= 50 x 10' mm*, 1, = 600 x10 mm, and I, = 350 x 10 mm*. Calculate A, I,, and I, for the region.Answers: A = 360 mm2, 7, = 24 x 10' mm*.!!%3Di, = 26 x 10' mm30 mm40 mmFig. P9.2

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Answered: 9.18 Compute I, and ly for the region…

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9.18 Compute I, and ly 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

9.18 Compute I, and I, for the region shown.
40 mm
40 mm
68 mm
66 mm
66 mm
Fig. P9.18
18.42 x 10° mm
Answer: I, = 48.7 x 10° mm, I,
Problem 5
9.20 Calculate I, for the shaded region, knowing that y = 68.54 mm.
Answer: 12.96 x 10° mm
60
30
25
90
20
80
Dimensions in mm

Problem 1
9.2 The properties of the plane region are Jc= 50 x 10' mm*, 1, = 600 x
10 mm, and I, = 350 x 10 mm*. Calculate A, I,, and I, for the region.
Answers: A = 360 mm2, 7, = 24 x 10' mm*.
!!
%3D
i, = 26 x 10' mm
30 mm
40 mm
Fig. P9.2

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