Consider a rigid body consisting of three rods, each of length L = 0.7 m, and mass m = 9 kg. Calculatethe product of inertia lg about the point O (in kg.m²). (Note, each of the three rods is along one ofthe axis.)y

Answered: Image /qna-images/answer/904f8fb9-f398-4260-a9ed-7bd0cf48827a.jpg

Consider a rigid body consisting of three rods, each of length L = 0.7 m, and mass m = 9 kg. C the product of inertia lyg about the point O (in kg.m²). (Note, each of the three rods is along or the axis.) y

Consider a rigid body consisting of three rods, each of length L = 0.7 m, and mass m = 9 kg. C the product of inertia lyg about the point O (in kg.m²). (Note, each of the three rods is along or the axis.) y

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,...

See similar textbooks

Related questions

Q: Question 4: Calculate the moment of inertia for the following shape. 30 ma 30 m 30 mm 30 um 40 num…

A: Please refer the next page for answer.

Q: The mass of the displayed object is 10 kg. Its moment of inertia with respect to Lyes of 10 kg-m2.…

Q: Determine the moment of inertia of a rectangle 100cm by 300cm with respect to a line through its…

A: The moment of inertia of a rectangle with respect to a line through its center of gravity and…

Q: QUESTION 1) In the section in which geometric properties are given in figure; Calculate the moments…

Q: What is the moment of inertia about the y-axis of rectangular wooden block with a base of 500mm and…

A: Given Data b=500 mm h=1200 mm

Q: The definition of the Area moment of Inertia involves integral of the form oSr² dm Ofx² dm O|x dA o…

A: Moment of moment of area (second moment of area ) is known as the area moment of inertia, it shows…

Q: 35 180mm

A: given data- mass of the disk = 20 kg radius of the disk = 180 mm = .18 m to determine- moment of…

Q: QUESTION 1) In the section in which geometric properties are given in figure: Calculate the moments…

A: Given data To determine moment of inertia Ix , Iy and Ixy on coordinate set placed at the center of…

Q: の120- 18Xの10- PCDの70 60° Al la PCD Ø40- -の20 -PCDの100

A: In the given object we have total 19 holes are there and they are located as, 1 hole is at the…

Q: Thin aluminum wire of uniform diameter is used to form the figure shown. Denoting the mass per unit…

Q: CS South-line. Consider a sphere with radius R and mass M. Assuming that the moment of inertia of…

Q: 4. In the figure shown, a 0.5-m by 0.5-m square iron plate is 5-mm thick. It had a semicircular hole…

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: If centroidal mass moments of inertia of right Circular Cone of mass and radius are m = 30kg, r= 20…

A: MOI of a circular cone is (3/10)mr2

Q: f you know a rigid body’s moment of inertia about an axis through the center of mass, how do you…

A: Given moment of inertia about an axis through the centre of mass =Icm To determine moment of…

Q: Prove that the centroidal polar moment of inertia of a given area A cannot be smaller than A2/2π…

A: The centroidal polar moment of inertia of a circular area is given by Area of circle is given by

Q: Specifically a Statics problem. Determine the moment of inertia of the shape (a=15 mm) with respect…

A: By applying composite areas concept.The moment of inertia of the given figure is calculated as:

Q: 1B. Derive from first principles the moment of inertia for a right-angled triangle about its base…

A: Consider a right-angle triangle with base b and height h as shown below,

Q: Consider the thin plate shown in (Figure 1). Suppose that aaa = 150 mmmm , bbb = 410 mmmm , rrr = 50…

Q: Question NO. 01 Find the Principal Moment of Inertia and the Principal axis of inertia of a uniform…

A: Principal moment of inertia is based on the area of a surface or the mass of the body with respect…

Q: Consider a rigid body consisting of three rods, each of length L = 1.0 m, and mass m = 5 kg.…

A: Write the formula to calculate the product of inertia of a rod about the plane xz as, Ixz=Izx=-mxz…

Q: distance, d3y, of snape YO? z) aa) What is the distance, day, of shape 6's centroid from axis Yo?…

A: we have to locate the centroid of shape 3 & 6

Q: 3. Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about…

Q: A ball has a radius of 1.25 in. and a weight of 0.5 lbs. Find the mass moment of inertia (in…

Q: For the shaded area shown, given that a = 14 cm; b a a - t 2а A. Determine the moment of inertia…

A: Given Data a=14 cm b=12 cm t=1.5 cm Shaded area is symmetrical about y-axis then centroid lies on…

Q: a+b -

A: Given, a = 120 mm b = 180 mm r = 80 mm We can consider the given section as combination of below 3…

Q: The unit of moment of inertia of an area,

A: Ans-C(m4)

Q: By the method of this article, determine the moments of inertia about the x- and y-axes of the…

A: To find : The moment of inertia about X axis and Y axis of the trapezoidal area . FBD: The free body…

Q: An isosceles triangle has a 10 cm base and a 10 cm altitude. Determine the moment of inertia of the…

A: Given data: b=h=10 cm Need to determine the moment of inertia of the triangular area relative to a…

Q: 72. From a solid sphere of mass Ma hollow sphere of radius is removed. Moment of inertia of…

Q: Find the moment of inertia about an axis perpendicular to the page and passing through the pin at O.…

Q: Polar moment of inertia (I,), in cm, of a rectangular section having width, b 2 cm and depth d= 6 cm…

A: Given data : Width of rectangular section=b b=2 cm Depth of rectangular section=d d=6 cm

Q: D moment of inertia circle area: PK =1 #

A: Given

Q: If centroidal mass moments of inertia of Solid cylinder of mass and radius are m = 20kg, r= 10 m,…

A: For solid cylinder the value of MOI=mr2/2

Q: 1. Moment of inertia for a solid sphere of a given volume is hollow spherical shell of the same…

A: Please find the solution below.

Q: Determine the weight moment of inertia (in lb · in') of the homogeneous body (shown in the image…

A: find the weight moment of inertia about x axis.

Q: What is the moment of inertia (in relativos about x axis Ixx) of the following area below?

A: We need to calculate Inertia of the body about X axis Ixx

Q: Two L 152x102x12.7 angle brackets are welded to a steel plate that is 16 cm tall and has a width d…

Q: The moment of inertia about X- axis for the shaded area shown in fig. * : is 4m 本ml

A: Moment of inertia of an area is defined as the product of area and the distances of its center from…

Q: ermine the moment of inertia of the above section (Fig. 1) about Ox axis.

A: given:

Q: The mass moment of Inertia of a body, is defined as 1 = [r² dm · In this equation, r is the

A: To select the correct option.

Q: Determine the moment of inertia of the shaded area about the x-axis in two different ways. 3.2a…

Q: 1 N 3 N 0.25 m 5 N For this example you will be 0.45 m calculating it around the COG (g on the…

Q: Find the Principal Moment of Inertia and the Principal axis of inertia of a uniform solid hemisphere…

A: Solution.

Q: A thin plate with uniform thickness of 2 mm, on which there are two circular holes and a hole…

Q: (e) Use integration and the parallel axis theorem to find the mass moment of inertia of the…

Q: Determine the mass products of inertia Ixy, Iyz, and Izx of the steel machine element shown. (The…

A: In the given figure, the x, y, and z axes are shown for the steel machine element. From the figure,…

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

Consider a rigid body consisting of three rods, each of length L = 0.7 m, and mass m = 9 kg. Calculate
the product of inertia lg about the point O (in kg.m²). (Note, each of the three rods is along one of
the axis.)
y

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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

The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).
The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.
Select the correct S I units for the Moment of Inertia for an area. m3 m4 kg m2 kg m3
Consider the 15 kg solid cylinder shown in Fig.10.19, undergoing a rotational motion under the effect of externally applied force. If the mass moment of inertia of the glinder about its centroidal axis is IAA = 0.5 kg m^2, determine the radius of the cylinder.
1) Sketch the cross-sectional picture of a W8x67 sitting on top of a W16x26 (the vertical centerlines are colinear). a)The magnitude of the Area Moment of Inertia about the horizontal centroidal axis of the built-up member is _____in4. b)The magnitude of the Area Moment of Inertia about the vertical centroidal axis of the built-up member is _____in4. c)The magnitude of the Area Moment of Inertia about the centroidal z-axis (aka Polar Moment of Inertia about the centroidal origin) of the built-up member is _____in4. d)The magnitude of the Radius of Gyration about the horizontal centroidal axis of the built-up member is _____in. e)The magnitude of the Radius of Gyration about the vertical centroidal axis of the built-up member is _____in. f)The magnitude of the Radius of Gyration about the centroidal z-axis (aka Polar Radius of Gyration about the centroidal origin) of the built-up member is _____in.
Consider the compact disc as a tick-walled cylinder has a mass of 16.0 g, and an outer diameter of 11.6 cm and inner diameter of 4.6 cm. Find the (a) moment of inertia of the compact disc about an axis passing through its center and (b) moment of inertia about an axis passing through its edge parallel to the previous axis.
Thin aluminum wire of uniform diameter is used to form the figure shown. Denoting the mass per unit length of the wire by m’, determine the mass products of inertia Ixy, Iyz, and Izx of the wire figure.
Consider a circular, semi-circular, and a quarter-circular steel plate, whose moment of inertia about the z-axis are Izc, Izs, and Izq, respectively. They have equal mass densities and thicknesses. Which of the following is correct? a. Izc=Izs greater than Izqb. Izcgreater thanIzs=Izqc.Izcgreater thanIzsgreater thanIzq
How do you determine the moment of inertia of a plane surface?
What is moment of inertia of a rigid object? Explain with the help of proper diagrams.
Given the theoretical expression for moment of inertia of a point mass, Im=MR2 what is the slope and y-intercept of a log Im vs log R plot?
Two identical solid spheres are attached on the 2cm diameter solid rod with the density of 7750 'kg/m³. Calculate moment inertia about P- P axis of a lamina. The measurements are in cm. 3 kg 5 kg 10 cm 50 cm 40 cm