Answered: Calculate the moments My and My and the…

Calculate the moments My and My and the center of mass of a lamina with the given density and shape. p = 10 Mx My = (X, ) = (3, 2)

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 9.63P

See similar textbooks

Related questions

Q: a) Evaluate the surface area of a paraboloid z 4-- that lies above the ry-plane.

A: Given that the area of a paraboloid z = 4- x2- y2 that lies above the x-y plane

Q: Chapter 5, Problem 5/001 With your pencil, make a dot on the position of your best visual estimate…

A: Divide the triangle into two right-angle triangle sections as given below. Here I section is…

Q: The uniform lamina of density 8 kg/m²". for a=8 mb=1.5 m.ca1.7 mde1.9 m, x-co-ordinace of shape (1)…

A: Given data: a=8 m b=1.5 m c=1.7 m d=1.9 m

Q: A crane barge, 20 m long, 8 meters wide, and 12 meters high loaded at its center with a road roller…

A: Given DataWR=20×9.81×0.4536×200=176.58kNFB=dVy=8×1.2×20×9.81=1883.52kN

Q: Moment of inertia in circle and triangle Derive it and apply some elements Fluid mechanics

Q: Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure.…

A: Given data: ρx,y,z=kx2+y2z=h1-rr0 Need to determine the moment of inertia about z-axis.

Q: Q6: Thin plate of uniform thickness and density 8(x.y)-3r +2y -1 coveres the area by the parabola y…

A: Diagram:-

Q: Find density Mars s= 30% yolume -7c

A: Given data : The value of mass =m=30 g The value of volume=V=7 cm3 Required : Density

Q: The horizontal fuel tank with a circular cross section, d=2.6 m and length l=9.6 m, is completely…

A: Given data, Diameter of circular fuel tank, d = 2.6 m Length of the tank, l = 9.6 m Density of the…

Q: 1. Find inertia tensor of a homogeneous plate of uniform thickness T, area A unspecified shape lying…

A: The equation of inertia tensor of the plate in X-Y plate as" Ji=IxxIxyIxzIxyIyyIyzIxzIyzIzz Here…

Q: A loaded scow has a draft of 1.8 m in fresh water when erect. The scow is 6 m wide and 12 m long and…

Q: Find My My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. x…

A: The region bounded by the two equations y=x-30 and y=±x is represented in the graph below. In the…

Q: A lamina has the shape of a triangle with vertices at (-3,0), (3,0), and (0, 2). Its density is p =…

Q: If the object below has a uniform mass distribution, a=5 m , b = 10 m and c = 20 m, find the centre…

Q: Calculate the mass of each sphere. Assume a = 3.7, b = 2.1, 0-39. y 1 aR Ꮎ Copper bR -x

Q: What maximum single weight W can be moved transversely over the edge of the side without sinking the…

Q: Following square plate of a x a has an opening of h × .If a =1 m, find magnitude of h which results…

A: The centroid of the remaining plate is given as: x¯=0y=A1y1-A2y2A1-A2A1=a2A2=ah2y1=a2y2=h2

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m3). Setup the…

Q: 4.2 Consider the solid prism with front and back surfaces ABC with AE = DH = BF = CG = 1 cm. and EFG…

Q: Find MOI about centroidal axis-X

A: Moment of inertia of the rectangular section, (Ixx)R=bd312 (Ixx)R=120*150312 =3.375*107 mm4Moment of…

Q: ylinder of radius 0.5m and height 4m is rotated at 10 rad/s about its vertical axis. If the cylinder…

Q: P d L R A square made of aluminum (density p = 2700 k m and has dimension L = 5.20 m and thickness e…

Q: Find the centroid (1, g) of the region bounded by: y = 31 + 6z, y = 0, 1 = 0, and z = 3

Q: Point A is 40 mm above HP & 25 mm in front of VP.

A: To draw: Point A is 40 mm above HP and 25 mm

Q: If the object below has a uniform mass distribution, a=3 m , b = 6 m and c = 12 m, find the centre…

A: Given: a=3 mb=6 mc=12 m

Q: A 10 m long and 3 m deep rectangular vessel floats in water. The vessel is rotated 10° to the left.…

A: Given: The length of the vessel, L = 10 m The height of the vessel, H = 3 m The rotation = 10 degree…

Q: Questiond Calculate the center of mass of the top spherical segment (h R/3). Assume the mass density…

A: To solve this, we will take an element for calculation as shown in figure: The thickness and radius…

Q: . The piece shown is made by joining a solid rectangular parallelepiped with given density pp and a…

Q: Use cylindrical coordinates to find the indicated characteristic of the cone shown in the figure.…

Q: Assume for the moment that air consists of 80.00% nitrogen and 20.00% oxygen by volume. Use these…

Q: The scow is 40 ft long, 20 ft wide, and 8 ft deep. It has a draft of 5 ft when floating in an…

Q: A pontoon measuring 10 m (length) × 7.5 m (width) × 2.5 m (depth) weighing 800 kN floats in sea…

A: Answer: The step by step calculation is shown below;

Q: For the section given in the figure, calculate a) the position of the centroid, G, b) moments of…

A: Given data as per question Calcultating Area of sectionsA1=(4×0.4)=1.6 cm2A2=(4×0.4)=1.6…

Q: Find the mass and center of mass of the solid with the given density function p. E is bounded by the…

Q: This for 5: Sketch the region bounded by the curves, and visually estimate the location of the…

A: As per Bartleby policy if multiple questions asked then only first question answered kindly repost…

Q: b Q1) For the section given in the figure, calculate a) the position of the centroid, G, b) moments…

Q: If the object below has a uniform mass distribution, a=4 m, b = 8 m and c = 16 m, find the centre of…

A: Given: The object is split into 4 simple figure: Right-angled triangle(b=4 m, h=4 m) Square (a=4 m)…

Q: Find the area and perimeter of an ellipse if the length of the major axis is 7 m and minor axis is 4…

Q: The tank is filled with water. Suppose that h = 4.0 m. Solve the problem using the integration…

Q: Find the center of mass of the structure given in the figure below. Assume a uniform thickness of 20…

A: Consider the diagram shown below for the given body.

Q: Question One Find the centre of mass of the uniform lamina ABCDE shown below. E 6cm 30 A 10cm B The…

Q: With your pencil, make a dot on the position of your best visual estimate of the centroid of the…

Q: Determine the volume, by using Pappus’ Theorem, generated by revolving the composite areas about the…

A: Consider the diagram as shown below for the given system.

Q: Consider the generic aircraft geometry indicated below where the vertical tail is taken as a solid…

A: Mass moment of inertia of a body is defined as the resistance offered by the body to the rotation…

Q: Dimensions 2.0 x 1.2 m sign board, circular with outer diameter 220 mm and inner diameter 180 mm it…

Q: The vessel is 20m long, 10m wide and 5 m deep. It has a draft of 4, when floating in an upright…

A: Solution: Given Data: L=20 mb=10 mh=5 mD=4 Note: Dear Student! As per bartleby guidelines, we are…

Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
p = 10
Mx =
My =
(X, 7) =
(3, 2)

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

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

4. Find the center of mass of the lamina bounded by the graphs of the equations x = 9-² and x = 0 for the density p=kx.
Given the triangle described by the homogenous point matrix: [2 2 0 11 5 0 1 1 5 5 0 11 Scale it to three-fourth size keeping the centroid in the same location. (5,5) P= 2 (2.5) (2.2)
The assembly in figure 1 is rotating counterclockwise from above at w = 10 rad/s about the z axis. The thin disk has mass 12 kg and radius 15 cm, while, and the thin rod CD has mass 3 kg and length 30 cm. axis. @=10 rad/s B C A 15 cm Figure 1 30 cm Find the inertia tensor for the disk and rod CD about the axis CD. Calculate the moment of inertia of the disk and rod CD about the vertical z Determine the angular momentum of the disk and rod CD about the z axis.
4.14. Calculate I,,Iy,Iyy for the symmetrics Z-section of Figure P4.8
Find the moments M₂, My, and the mass m, of the triangular lamina defined by the vertices (0,0), (0,10) and (1,10). The density function is p(x, y) = (xy). Provide an exact answer or answer accurate to at least significant digits. M₂ My = = m =
Question One Find the centre of mass of the uniform lamina ABCDE shown below. E 6cm 30 A 10cm B The shape is symmetrical about the line through C.
Find the moment of mass from the x-axis for y = x In(x) – 3x and y = 1 bounded by x = 3 and x = 6. The surface density is equal to 0.37 kg/units?.
Find the z-component of the location of the mass center of the body shown in figure which is a hemisphere glued to the solid cylinder of the same density. Assume L = 1.9 Rand R= 1.4 m. R Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.
Find the mass of a cylindrical solid x+y = 36 of height 5 and radius 6. Assume that its density is 4z. Also find out the first moments My and M
Find the center of the mass of a thin plate of constant density & covering the region 5 bounded by the x-axis and the curve y= 2 C -SXS cos X, - The center of the mass is located at (x, y) = (Type an ordered pair. Round to the nearest hundredth.)
A lamina occupies the part of the disk æ² + y? < 9 in the first quadrant and the density at each point is given by the function p(x, y) = 4(x² + y²). A. What is the total mass? B. What is the moment about the x-axis? C. What is the moment about the y-axis? D. Where is the center of mass? E. What is the moment of inertia about the origin?
P L d R kg A square made of aluminum (density p = 2700 m and has dimension L = 5.20 m and thickness e = 0.80 m. We remove a cylinder of radius R = 0.70 m and at a distance d = 1.30 m from the center of the plate and at 30 deg with the horizontal. Find the centre of mass in x and y of this shape from the lower left corner. Note the centre of mass about for the z-axis is neglected in the answer, since it is obviously at e/2. Xem Share With Class