Answered: Solid formed by revolving the shaded…

Solid formed by revolving the shaded area around the x axis. The density of the material is p= 12 slug/ft What is the radius of gyration with respect to x-axis, k,? O 1.6 ft O 2.6ft 0.6 ft O 1.3 ft

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: Determine the radii of gyration for the rectangu- with respect to lar area shown in Fig. The Y- and…

A: Write the expression of the area of the rectangular section.

Q: Determine the radius of gyration kx (in inches) of the homogeneous body (shown in the image below)…

A: Find the radius of gyration.

Q: Determine the radius of gyration about the y-axis of the shaded area shown. Parabolic- 80 mm 40 mm…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. - 100 mm…

A: following is the solution to the above problem -

Q: Determine the mass moment of inertia of the half cylinder with respect to thex axis. Assume the…

Q: Determine the center of mass in z axis (7) of the homogeneous solid block. L = 0.63m 5L 4L 3L 2L 3L…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm- 15…

A: To calculate the moment of inertia about x0 and yo of the diagram, we need to fix the origin I.e. at…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -125 mm- 24…

Q: Determine the moments of inertia of the Z-section about its centroidal x,- and yo-axes. -100 mm 20…

Q: 2. Determine the radius of gyration kz for the column's cross-sectional area. The dimension d is…

Q: A structure consisls ol a Wilh sprieres al boin ends. The rod is 0.0 m fong with mass of 3 kg; eacn…

A: moment of inertia of rod about centre = (1/12) mL2 m = mass of road L = length of rod MOIrod…

Q: For the circular thin plate with a square hole as shown in the image below, if the radius R = 0.29 m…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm - 22…

Q: Current Attempt in Progress Calculate the polar radius of gyration of the area of the angle section…

Q: The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y…

Q: Calculate the radius of gyration of a rectangular thin plate (5 m × 6 m) with respect to an axis…

A: Given data: Length of the thin plate, L = 5 m. Width of the thin plate, B = 6 m. The radius of…

Q: The paraboloid is formed by revolving the shaded area around the x axis. Determine the radius of…

Q: 4) Determine the mass moment of inertia of the pendulum about an axis perpendicular to the page and…

A: Given data: The mass of the slender rod is mr=10 kg The mass of the sphere is ms=15 kg The length of…

Q: 1. Determine the moment of inertia about an axis perpendicular to the page and passing through the…

A: GIVEN DATA- A PLATE WITH HOLE GIVEN WE HAVE TO FIND MOI ABOUT AN AXIS PERPENDICULAR TO PAGE PASSING…

Q: The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y…

A: Given: l=445mm=0.445mb=370mm=0.370 mh=80 mm= 0.08 mρ=1300 kg/m3 The mass of block is calculated as:…

Q: Determine the polar radius of gyration for the cir- with respect to an axis cular area shown in Fig.…

A: Given Data: The radius of the circle is R = 6 in. The area A of the circle can be determined as,…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 6.2" 3.2" y = kx? %3D 6.6"…

Q: Three bodies are assembled as show. The masses of the cylinder, rod and sphere are 10-kg, 2-kg and…

A: Given data: The mass of the cylinder is m=10 kg The radius of the cylinder is r=0.06 m The height of…

Q: Determine the radius of gyration about the y-axis of the shaded area shown. ! Parabolic- 80 mm 40 mm…

A: following is the answer to the above question-

Q: Determine the moment of inertia of the overhung crank about the x axis. The material is steel having…

Q: Determine the mass moment of inertia and radius of gyration of the figure shown about the x, y and z…

Q: Q.1) Determine the radius of gyration of the area below. Assume t = 20 mm. units: mm

Q: The variable h designates the arbitrary vertical location of the center of the circular cutout…

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

Q: Part C-Mass Moment of Inertia about an Arbitrary Axis Calculate the mass moment of inertia, IOG,…

A: Given that, l1=2.10 m,l2=3.30 m,Mass per unit length, m=9 kg/m,Iz'z'G=494.6 kg.m2 Calculate the…

Q: A solid cylinder with a radius of 3.9 cm has the same mass as a solid sphere of radius R Part A If…

Q: The moment of inertia of a rectangular plate of width 'b' and height 'd' about Y - Y axis passing…

A: moment of inertia of a rectangular plate of width b and height d about Y-Y axis

Q: Q11. Detemine the moment of inertia components of the following composite shape wrt x, x' and y…

A: Write the expression of the area of the hollow rectangle. Write the expression of the area of the…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -110 mm 21…

Q: 100 mm 20 mm yo 3) Determine the moments of inertia of the Z -section about its centroidal xo - and…

A: Since, you have asked multiple questions in a single request, we would be answering only the first…

Q: The 0.2m diameter Aluminum cylinder below has a 0.1m diameter cylindrical hole cut from its center.…

Q: Determine the radii of gyration for the shaded with respect to area shown in Fig. a. The x- and…

A: Consider a differential area dA at a distance x from the y-axis and y from the x-axis as shown…

Q: y 3 тm 1 y = -x2 169 7 mm Figure Q3.1: The shaded area Examine the moment of inertia of the shaded…

A: Given; y=-1169x2 Solution: The moment of inertia about the small part about x axis :…

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

Q: Find the radius of gyration of the area in the first quadrant bounded by the lines y = 0, x = 3, and…

A: Answer is 2.32 Given condition : Y = 0, X = 3 and X2 = 3Y w.r.t Y-axis

Q: ng i coordinates, a student caiculates the inertia tensor, I as hown The moment of inertia of that…

A: For solution refer below image.

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -130 mm- 23…

Q: The slender bar lies in the x-y plane. Its mass is 6 kg and the material is homogeneous. Use…

Q: Determine by direct integration the moments of inertia of the trapezoidal area about the x- and y-…

Q: The variable h designates the arbitrary vertical location of the center of the circular cutout…

Q: Determine the radius of gyration about the y-axis of the shaded area shown. | Parabolic- 80 mm |40…

A: Given question belongs to the subject Mechanics of solids and can be solved by first calculating…

Q: Determine the polar radius of gyration about point A for the shaded area shown. 65 mm Answer: KA= 65…

Q: Determine the polar radius of gyration about point A for the shaded area shown. 62 mm Answer: KA 62…

Q: Find the radius of gyration of the area in the first quadrant bounded by the lines x = 0, y = 4, and…

A: For solution refer below images.

Q: the céntroid C(x,y) of the shaded area. C(x.Y) 2). Determine the moment of inertia of the shaded…

A: AreaA=∫-55ydx=∫054.5-0.1x2dx×24.55-0.1×533×2A=36.67ft2

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

Solid formed by revolving the shaded area around the x axis. The density of the material isp 12 slug/ft
What is the radius of gyration with respect to x-axis, k,?
1.6 ft
2.6 ft
0.6 ft
1.3 ft

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

3:59O l 37.6 26) K/s REC Question v? = 400x Determine the moment of inertia for the shaded area shown about the x - (100 – x)- dy axis. 200 mm 100 mm 27:082021 BME 1205 Moment of Inertia Natukunda Faith's screen
Determine the moment reaction at the fixed support A. The forces P = 218 N, F =436 N, and Q = 218 N are parallel to the y, x and z axis respectively. The moment MCB = 436 N.m is around the line CB. P B 2 m 1 m 2.5 m McB 2 m D F O A. MA = -872.0k N.m O B. MA = 218i + -654.0j + -327.0k N.m O C. MA = -436.0j N.m O D. MA = -654.0j + -545.0k N.m O E. MA = 545.0i + -545.0j + -545.0k N.m
Find the radius of gyration of the area in the first quadrant bounded by the lines x = 0, y = 4, and the curve y2 = 8x with respect to the x-axis. 0.67 O 0.76 O 1.03 O 3.10
For the composite area shown below, determine the moment of inertia about the horizontal centroidal axis. 40 160 80 -60- 60- 180 Dimensions in mm O Ix' = 61.4 x 10 mm4. O Ix' = 26.9 x 10° mm“. O Ix' = 40.3 x 106 mm". O Ix' = 56.3 x 106 mm4. %3D
1. -200 mm 200 mm 150 mm 125 mm 60 mm 125 mm Determine the coordinates of the centroid of the shaded area. 100 mm 20 mm Yo 140 mm 20 mm 20 mm 100 mm Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x - axis to be at the extreme bottom of the figure and y - axis at the left most of this figure. 2.
100 mm 20 mm yo 140 mm 20 mm 20 mm - 100 mm Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x - axis to be at the extreme bottom of the figure and y - axis at the left most of this figure.
50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)
Determine the product of inertia for the shaded area shown about the P-Q axes. Q 73" 26" O 1.932 (10%) inª O 2.528 (10%) inª O2.302 (106) inª O 1.819 (10%) in O 2.224 (10%) inª 56" 43" P
Determine the Moment of Inertia about the X axis, Moment of Inertia about the Y axis and the Product of Inertia, Ixy. Round to the nearest whole number, in int, include sign if negative 4" 6" y T 1 | 2" 2" | e 6" 4" x
2. 100 mm 20 mm 140 mm 20 mm 20 mm 100 mm - Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x - axis to be at the extreme bottom of the figure and y - axis at the left most of this figure.
1. Solve for the of the location of the centroid with respect to the x and y axes of the given fig. 2. Solve for the moment of inertia with respect to centroidal axes of the given figure. 200 mm Y 150 150 500 mm ww 007 ww OSL ww OSL
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