%AY l.+11:47The shaft shown below consists of three segments AB, BCand CD is subjected to the three torques T1=114 N.m,T2=245 N.m and T3=441 N.m. The length of eachsegment is L1=0.71 m, L2=0.31 m and L3=0.43 m. Thediameter of each segment is d1=46 mm, d2=97 mm andd3=131 mm. The material have modulus of rigidity G=143Gpa. Answer the following questionsd3T3d2T2T1d1в 1- L3L2L1The polar moment of inertia of the segmentAB is2.89125E-052.5096E-053.7326E-052.85944E-052.93461E-05Clear selection

Write the formula for the polar moment of inertia of the segment AB. JAB=π32d34 Here, JAB is the…

Answered: The polar moment of inertia of the…

Engineering

Mechanical Engineering

The polar moment of inertia of the segment AB is 2.89125E-05 O 2.5096E-05 O 3.7326E-05 O 2.85944E-05 2.93461E-05

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: From the figure shown, if b = 3 units, determine: Inclination of the principal axes, in degrees…

Q: Determine the moment of inertia about the neutral axis.

Q: The pendulum consists of a slender rod with a mass 1.6 kg and a circular plate with a mass of 4.7…

A: Given:The mass of slender rod is .The mass of circular plate is .Consider a diagram below:

Q: Find the values of moment of inertia Ix with respect to x axis, moment of inertia with respect to y…

A: Given Figure whose moment of inertia is to be found CONCEPT - Parallel axis theorem . According…

Q: Determine the moment of inertia of the thin plate about an axis perpendicular to the page and…

Q: 200 mm C 600 mm 200 mm

A: Area moment of inertia is a geometrical property that defines how different points are arranged with…

Q: Calculate the moments of inertia, the polar moment of inertia of the plane figure shown, with…

Q: moment of inertia of the section

A: Given; Value of moment of inertia of the section shown in the figure about the axis- XX ;Length , of…

Q: A C-section is made up of three rectangles as shown in Figure. Find (i) The centroid of a section…

A: Let us divide the given C -section into three parts of area A1, A2 and A3 Also taking O as origin,…

Q: From the figure shown, if b = 3 units, determine: Moment of inertia about the x-axis, in units4…

Q: Find the moment of inertia about the x-axis of a thin plate with density 8=4 bounded by the circle…

Q: リ=400× Som 2 00 m

Q: For the shape below, the moment :of inertia about X-axis is

A: The given I-beam section can be represented as a single rectangle and a two small rectangular voids…

Q: Q2: - For the shaded area shown in the figure below, Draw Moher-circle and then find: 1. The maximum…

A: Given data

Q: Which of the following is the moment of inertia of the cross-sectional area of the "I" channel with…

Q: Which of the following is the moment of inertia of the cross sectional area of the T-beam with…

Q: A = C5 x 9 B = W8 x 21 find the Moment of Inertia Ix about neutral axis X-X (in⁴), and the Iy…

A: Moment of inertia is characterized as the amount communicated by the body opposing rakish speed…

Q: Calculate the polar radius of gyration of the area of the angle section about point A. Note that the…

Q: A channel and a plate are welded together as shown to form a section that is symmetrical with…

Q: Determine the moment of inertia of the area about the x axis.

Q: Calculate the area [units^2] enclosed by the triangle ABC shown in the figure below. The coordinates…

A: ABC Triangle calculating Area and area moments of inertia about the x-axis

Q: N. 4r/3r G2 r = 10 mm 2) 25 mm M 20 mm P.

A: As given for fig . 2b :The centroid in x-axis will be =10 mm ;The centroid in y-direction will be…

Q: Determine the Moment of inertia for the singly-symmetrical cross-section shown in figure

A: The moment of inertia of a rigid body, also known as mass moment of inertia, angular mass, second…

Q: From the figure shown, if b = 3 units, determine: Product of inertia, Ixy, in units4 Minimum…

A: Given data: ◆ The breadth of the rectangle = b ◆ The depth of the rectangle = 2b ◆ The value of b =…

Q: 1) Şekilde görülen cismin toplam ağırlığı W dir. A noktasına göre eylem- sizlik momentini…

Q: 2. Som y=400X 200 m T00m S0m

A: As per given question Determine the moment of inertia about the CD axis

Q: Determine the moment of inertia of the shaded area about x-axis. Set h= 5.7 cm.

A: h=5.7 cm

Q: Determine the moment of inertia (in mm-) of the given figure with respect to y axis if y=96 mm and…

Q: For the following area, determine: a) the coordinates of the geometric center of the area taking…

Q: Q6: Determine the second moment of area and the radius of gyration about [XX] for the shaded area as…

A: Given -Length of Rectangle width of Rectangle Radius of semicicle centroid of circle is shown in…

Q: B-Determine the moment of inertia of the shaded area of the figure below about y axis only. 4m → 4m…

A: Let us divide given shape into 3 basic shapes: From the given dimensions, Radius of shape 1 = R1…

Q: Find the moment of inertia of the section with respect to x-axis (Ix). y |1 m| 4 m 1 m - 3 m –

Q: CALCULATE THE MOMENT OF INERTIA OF THE SECTION WITH RESPECT TO THE AXIS OF THE BENDING MOMENT WHICH…

Q: A 0.2m hole is drilled into a 0.6m x 0.6m x 0 2m plate. The plate weighs 98 kN/m3. Determine the…

Q: For the composite area shown below, determine the moment of inertia about the horizontal centroidal…

A: Data given- I section Base = 180 mm Height = 160 mm

Q: subjected to bending. The are moment of inertia (in mm4) of this cross-section about its base

A: Given data; As shown in figure; Area moment of inertia of rectangular cross-section about its centre…

Q: Find the moment of inertia for the cross-sectional shape about the x and y axes, given the function:…

Q: y2 1 4a² ' a² a 2a-

Q: Find the Moment of Inertia about the x-exes of the composite shape shown in the figure below.

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

%AY l.
+11:47
The shaft shown below consists of three segments AB, BC
and CD is subjected to the three torques T1=114 N.m,
T2=245 N.m and T3=441 N.m. The length of each
segment is L1=0.71 m, L2=0.31 m and L3=0.43 m. The
diameter of each segment is d1=46 mm, d2=97 mm and
d3=131 mm. The material have modulus of rigidity G=143
Gpa. Answer the following questions
d3
T3
d2
T2
T1
d1
в 1
- L3
L2
L1
The polar moment of inertia of the segment
AB is
2.89125E-05
2.5096E-05
3.7326E-05
2.85944E-05
2.93461E-05
Clear selection

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the moments of inertia of the Z-section about its centroidal x0- and y0-axes.
Determine the polar moment of inertia of the circular area without and with the central square hole. 1.18 R R 1.18 R Answers: Without the square hole lz= i 0.785 R4 With the square hole 1z = i R4 0.6235
By the method of this article, determine the rectangular and polar radii of gyration of the shaded area about the axes shown. Assume r= 0.34a.
For the section below: а. Determine the moment of inertia with respect to the X-axis. b. Determine the moment of inertia with respect to the Y-axis. C. Determine the moment of inertia with respect to the X'-axis. 40 mm 80 80 30° tw = 40 mm 40 mm 200 mm 9. 300 mm 220 mm
Find the moment of inertia about y-axis
For the area shown, the moment of inertia about axis 1 is 125 in^4 and the total area is 23 in^2. If d1 = 1 in., d2 = 1.3 in. and d3 = 1.1 in., what is the moment of inertia about axis 4? Express your answer in in“, to the nearest 0.1 in“. Axis 4 d3 3 *d2 2 1
Find the moment of inertia about the centroidal axis of the given figure.
Determine the moment of inertia (in mm4) of the given figure with respect to x axis. Assume y=83 mm and z=40 mm. Round off only on the final answer expressed in whole number.
Find the moments of inertia of the shaded shape about the given centroidal x-axis (Ix) and centroidal y-axis (I). The equations for a single rectangle's moment of inertia about its own centroidal axis is given below. 4 h + y с A = bh Rectangular area X I₂ = 1/2bh³ bh³ Iy = 1 in 2 in 2 in y 1 in 2 in y' x' 2.375 in X
9Q
Find the moment of inertia for the cross-sectional shape about the x and y axes, given the function: y = 2·x2 and L = 1.6 m.
Define The moment of inertia and determine it for T-section