1:37l 4G DAAQ A calculate the polar moment of CCalculate the polar moment of inertia of the following cross section about origin:30 mm30 mm10 mm10 mm(A) 98675.34 mm'(B) 85662.33 mm'(C) 503675.34 mm(D) 49337.67 mm*b Bartleby.comVisitAnswered: Calculate the polarmoment of inertia... | bartlebyImages may be subject to copyright. Learn moreRelated imagesStatics Review Problem a6Caleulate the moment of inertia, I, and L,, and the polar moment of inertia, J, of the followingcross-socticn.respect to the x and y axes,unia in n2 in. 2 in.hole dareter 40>

Parallel Axis Theorem:- Let xc and yc be the centroidal axis and x and y are the other axis parallel…

Answered: Calculate the polar moment of inertia…

Calculate the polar moment of inertia of the following cross section about origin: Y₁ 30 mm 4 (A) 98675.34 mm¹ (B) 85662.33 mm¹ (C) 503675.34 mm* (D) 49337.67 mm¹ 30 mm 10 mm 10 mm X

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 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

See similar textbooks

Related questions

Q: There are removed 3.06 m3/s of vapor from the water evaporator of a vacuum refrigeration system: the…

Q: Calculate the work done by a 47 N force pushing a pencil 0.26 m.

A: Given data : Force (F)=47 N Displacement (d)=0.26 m We have to compute the work done

Q: Can you imagine what is the 3D of this in autocad?

Q: Two shafts whose centres are 1 m apart are connected by a V-belt drive. The driving pulley is…

Q: 5) For water P= 125 KPa, h= 2685.4 Kj/kg O Mixture O Saturated vapor O Saturated liquid Superheated…

A: For water at P = 125 kPa, Enthalpy = h = 2685.4 kJ/kg From the saturated water- Pressure table, we…

Q: The rigid bars AB and CD shown in Fig. are supported by pins at A and C and the two rods. Determine…

Q: -Z/Zo 3 The density of air as a function of altitude above sea level is modeled as p(z) = poe` where…

Q: Q2: The lecturer Aous used to drive his car early inorder to arrive and teach his students some…

A: The time that he should start driving from Baghdad: 7 : 10 a.m.

Q: Q2: A 1.78 L four-stroke petrol engine was tested at 2500 rpm. The developed brake power is 28 kW…

A: Given Volume, V= 1.78 L = 0.00178 m3 Brake power, BP = 28 kW Speed, N = 2500 rpm…

Q: Calculate the gas pressure, of air density is 1.22 Kg/m3, L-200 mm * Patm Gas at pressure p Tank O…

A: Given:- L = 200 mm = 0.2 m Air density = 1.22 kg/m3 To Find:- Gas pressure (P)

Q: Carbon dioxide gas initially at 500°F and a pressure of 75 psig flows at a velocity of 3000 ft/s.…

A: Given data: Temperature of Carbon Dioxide = T = 500°F = 533.15 K Pressure of carbon dioxide = P = 75…

Q: A steam pipe 20cm in diameter is protected with a covering 6cm thick for which the coefficient of…

A: When heat flows radially from inwards to outwards in a cylindrical pipe then, a thermal resistance…

Q: Q2: A two-stroke diesel engine was electrically motored (non-firing operation) when the meter…

A: Given Brake torque, T = 120 N.m Speed, N = 600 rpm Calorific value, CV = 40.3…

Q: 10.5 (B) A compound tube of 300 mm external and 100 mm internal diameter is formed by shrinking one…

A: Given data: External diameter (D) = 300 mm External radius (R) = (300/2)=150 mm Internal diameter…

Q: Find the transfer function Z(s)X(s) for the system shown. hand written plz 2 YZ

Q: Q4: Compute the supplied heat (Q1) of a system that its thermal efficiency is 90%, and the work done…

Q: 16 Carbon nanotubes are one of the strongest materials known to engineers. They have an elastic…

A: given; (16)diameter of nanotube(d)=15nm =15*10-9m…

Q: Airplane A is flying horizontally with a speed of 218 km/h which is increasing at the rate of 4.8…

Q: 2. A schematic representation of basic size and its deviations are given in Fig. below Calculate the…

Q: The cantilever beam shown is subjected to a concentrated load of P-70800 lb. The cross-sectional…

Q: A 150-mm diameter shaft supports a load of 12 kN. The shaft runs in a bearing whose length is 1.5…

Q: Q2: A two-stroke diesel engine was electrically motored (non-firing operation) when the mete reading…

A: Given Brake torque, T = 120 N.m Speed, N = 600 rpm Calorific value, CV = 40.3…

Q: The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque…

Q: A) There is a steam system in which the boiler must be fed by using a pump that supplies 0.005 m³/s…

Q: The five-bolt connection must support an applied load of P = 3800 lb. If the average shear stress in…

Q: Winch A has a radius of 6 inches and is rotating at a constant 20 rpm. Calculate the velocity of…

A: Introduction: Rotational Motion is concerned with bodies that revolve around a fixed axis. These…

Q: METHODS AND MATERIALS TECHNICAL PAPER

Q: ........A shaft rotating at 150 rpm is subjected to variable load: 8 kN during 60% of the time and 2…

A: Given: Rotational speed of the shaft: →N=150 rpm Because variable load 8 KN during 60% and 2 KN…

Q: which of the following will help make the service entrance more convenient? A. Service lanes should…

A: Given Entrance service To find Convenient entrance for service

Q: Calculate the work done by a 47 N force pushing a pencil 0.26 m.

A: Product of force applied on the body and displacement of body in force direction.

Q: 2,3) In a plunger cylinder device, 15 kg of air is heated from 25°C to 77°C by passing curr through…

Q: = Q2: A 1.78 L four-stroke petrol engine was tested at 2500 rpm. The developed brake powe 28 kW and…

A: Given Volume, V= 1.78 L = 0.00178 m3 Brake power, BP = 28 kW Speed, N = 2500 rpm…

Q: 4.1) There is a real thermal engine that has an absorbed heat (Q1) of 5 kJ, the temperature of the…

A: Introduction: Heat engines are designed to generate usable work from the heat generated by the…

Q: Question 1 In this section, attention is directed to closely coiled standard helical tension and…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts…

Q: The two flat cars A and B each have a mass of 80kg. If the man C has a mass of 70kg and jumps from A…

Q: A: If the position of a certain body was (-13) unit according to X-axis, then it is moved to be…

Q: 1) For vapour contained in an engine 2 cylinder:

A: we have to discuss about the vapor contained in the system

Q: 03 - Vertical forces are applied to the handle of the pipe wrenches. Determine the moment that these…

A: The given forces are,

Q: Determine the speed at which the basketball at A must be thrown at the angle of 30 degree so that it…

A: Given Angle = 30 To find The velocity of basketball from point A

Q: Find the transfer function Z(s)X(s) for the system shown. kı hand written plz

Q: 2. The figure shows a siphon discharging oil (sp.gr.0.90). The siphon is composed of 75 mm followed…

A: Introduction: When water flows through a pipe, there are two types of loss that occur: one is known…

Q: Question 6 6.1 State the law of conservation of energy 6.2. A body is stationary on top of a…

Q: Q.2 Replace the force and couple shown in Figure (2) with a vertical force at A and a couple whose…

Q: Q2: The lecturer Aous used to drive his car early inorder to arrive and teach his students some…

A: The lecturer should start driving at 7 : 10 a.m. in order to travel from Baghdad to Tikrit…

Q: Determine the modulus of Elasticity E for a material that has proportional stress of 100 MPa and…

A: Given data : Proportional stress=100 MPa Proportional strain=0.001 We have to compute modulus of…

Q: 8- The purpose of the addition of S to steel with 0.5% is to improve the machinability of steel. 9-…

A: 1. False Mn , Ni , Co and Cu are the most important elements that forming Austenite 2. True 3.False…

Q: What sorts of security precautions apply, for instance, to the transfer of items from one vehicle to…

A: To transfer goods from one place to other place vehicles are used and there is proper guidelines for…

Q: 16,200 18,900 20,200 10.16 15.24 20,700 21.80 2- Elongation (mm) 0.0 0.505 2.03 5.08 The dimensions…

A: Solution is attached below

Q: Use the method of compsite areas to calculate the centroidal coordinates of the plane regions shown…

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

1:37
l 4G D
AA
Q A calculate the polar moment of C
Calculate the polar moment of inertia of the following cross section about origin:
30 mm
30 mm
10 mm
10 mm
(A) 98675.34 mm'
(B) 85662.33 mm'
(C) 503675.34 mm
(D) 49337.67 mm*
b Bartleby.com
Visit
Answered: Calculate the polar
moment of inertia... | bartleby
Images may be subject to copyright. Learn more
Related images
Statics Review Problem a6
Caleulate the moment of inertia, I, and L,, and the polar moment of inertia, J, of the following
cross-socticn.
respect to the x and y axes,
unia in n
2 in. 2 in.
hole dareter 40
>

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 Parallel Axis and perpendicular Theorem.

VIEW

Step 2 Calculation of Moment of Inertia about origin.

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

Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
•A tee section is made up of a 30 mm x 150 mm flange and a 30 mm x 160 mm web. 6. Which of the following most nearly gives the moment of inertia with respect to the centroidal x-axis in million (1 x 10⁶).a. 21.84 mm⁴b. 2. 27.45 mm⁴ c. 54.21 mm⁴d. 31.54 mm⁴
Consider the thin plate shown in (Figure 1). Suppose that aaa = 150 mmmm , bbb = 410 mmmm , rrr = 50 mmmm . The material has a mass per unit area of 20 kg/m2kg/m2. A. Determine the mass moment of inertia of the thin plate about an axis perpendicular to the page and passing through point O
A tee section is made up of a 30 mm *150 mm flange and a 30 mm * 160 mm web. 6. Which of the following most nearly gives the moment of inertia with respect to the centroidal x-axis in million (1 x 10⁶).a. 21.84 mm⁴ b. 27.45 mm⁴ c. 54.21 mm⁴ d. 31.54 mm⁴
For the entire section shown, the moments of inertia with respect to the centroidal x and y axes at point C are Ix = 0.162(106) mm4 and Iy = 0.454(106) mm4, respectively. a. Determine the product of inertia with respect to the centroid at C, in mm4. b. Use a Mohr's Circle to determine the orientation (in degrees) of the principal axes of the section about the centroid C. c. Use the same Mohr's Circle to determine the values of the principal moments of inertia about the centroid C, in mm4.
The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the maximum moment of inertia and the minimum moment of inertia
The moments and product of inertia of an L4 x 3 x 1/4-in. angle cross section with respect to two rectangular axes x and y through C are, respectively, Ix = 1.33 in4. Iy = 2.75 in4, and Ixy <0, with the minimum value of the moment of inertia of the area with respect to any axis through C being Imim = 0.692 in 4 Using Mohr’s circle, determine (a) the product of inertia Ixy of the area, (b) the orientation of the principal axes, (c) the value of Imax.
Determine the moments of inertia Ix (mm 4 ) and Iy (mm 4 ) in relation to the reference system in the figure. For therefore, adopt the value of L = 100 + 30·a + 50·(b + c) {mm}. Consider a minimum precision of 6 digits significant and present the results of the moments of inertia in scientific notation (1.23456·10n ). (a = 7; b=1 ; c=1) Ix= Iy=
19 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 20 cm, b = 30 cm. Which of the following is the correct coordinates of the BC part of the homogeneous wire in the x, y and z axes?A) (30; 20; 10)B) (30; 10; 0)C) (15; 20; 20)D) (30; 20; 0)E) (30; 20; 20)
A simply supported beam has a symmetrical rectangular cross-section. If thesecond moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. (show all work)
A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids.An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.05 ft , where a is the diameter of the semi-circle,b = 3.74 ft , and c = 2.45 ft . A hole with diameter d = 0.700 ft is centered at (0.925,0.525) . Part A Find the area of the body. (Figure 1) Express your answer numerically in feet squared to three significant figures. Part B Find x¯ , the x -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. Part C Find y¯ , the y -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures.
40 Find the moment of inertia of the area bounded by the parabola y2 = 4x, x-axis, and the line x = 1, with respect to the x-axis. A. 0.878 B. 1.067 C. 1.244 D. 0.968