How do I find Ycm (9)5.Consider the flat object bounded by the curves y = 4x and y = Vx +b_where (b=2). The area density of theobject is o = yx where the relationship between the total mass M and y isM-= 0.0309.+++++|Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the center of mass).1Yem =SvdmM

Given that , Flat object bounded by the curves y=4xy=x2+b

Answered: Find the y-coordinate of the center of…

Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the center of mass 1 Sydm Y cm

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.118P: A concrete seawater dam is shown in cross section. Is the dam safe against tipping about edge A? The...

See similar textbooks

Related questions

Q: Find the x- and y-coordinates of the center of mass for the irregularly shaped plate shown in the…

A: we first segment the figure into 3 parts

Q: Figue shows ve of tadius 2R °foom which a disk of xadius R has bee object x. Its centre of Call it…

A: Given - Circular metal plate = 2R Disk Radius= R

Q: 37mm 29mm 37mm 38mm Fig. II 79mm

Q: For the machine element shown, locate the x coordinate of the center of gravity.

A: Consider the diagram of machine element given with notation of all components,

Q: y coordinate of the center of mass of the disk

A: Take a small element in form of disc at distance y from origin having thickness dy Such that volume…

Q: A sphere V of radius a and center the origin has a density at each spherical coordinate point (r, 0,…

Q: Determine the x and y coordinates of the center of mass of the homogeneous plate shown in the figure…

A: We know xcm=∑ Mixi∑ Miycm=∑ Miyi∑ Milet density =1 units

Q: Determine the y coordinate of the center of mass of the disk element given in the figure is [ft].…

A: The disk having small element at a distance y-from the z-x plane is given below,

Q: What are (a) the x coordinate and (b) the y coordinate of the center of mass for the uniform plate…

A: Center of mass of a body is defined as a point where whole mass of the body can be concentrated. It…

Q: ki ww k, b Jo. k2 ww m2

Q: Find the coordinates of the centroid of the shaded area. 6cm 1cm 3cm 7cm бст

Q: Calculate the position of the center of gravity of the given figure according to the x-, y-, z-…

Q: Find the center of mass defined as the area between the parabola Y = x'b and the line Y =b y = b

Q: For the machine element shown, locate the x coordinate of the center of gravity.

A: Given data To determine the x cordinate of the center of gravity

Q: Determine the x-coordinate of the mass center of the homogeneous hemisphere with the smaller hemi-…

Q: 37mm 29mm 37mm 38mm Fig. II 77mm

A: Using the relation for the x coordinate of centroid of given area as:…

Q: "i" rive G 2. Re-derive the angular momentum of problem 1 about G(center of gravith). (*It's hard to…

Q: The figure shows a composite shape comprising of two long slender rod bodies. The horizontal body…

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

Q: Explain the Concept of the center of gravity, center of mass, and centroid mass moment of inertia.

A: the Concept of the centre of gravity, centre of mass, and centroid mass moment of inertia.

Q: A hemisphere of radius 80 mm is cut out from a right circular cylinder of diameter 80 mm and height…

A: In the given problem, we will consider full right circular cone as area (1) and hemisphere as area…

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: 5/3 Specify the x, y, and z-coordinates of the mass center of the homogeneous semicylinder. Ans. =…

Q: Coplanar and Collinear An irregular body can have more than one center of gravity Select one: O True…

Q: Find the x- and y-coordinates of the center of mass for the irregularly shaped plate shown in the…

Q: For the machine element shown, locate the 'y coordinate' of the center of gravity. Also, locate the…

A: Given: The machine element is shown below:

Q: Determine the Y-coordinate of the center of mass of the disk element given in the figure as [ft].…

Q: Four identical floor tiles are aligned as shown in figure below. The origin of the coordinate system…

A: Since all the tiles are identical, let the mass of each tile is m The x-coordinate of each tile is…

Q: Object A, whose center is at (2.0m, 2.0m) has a mass of 40 kg. Object B has its center at (10m,…

Q: Determine the x-coordinate of the mass center of the homogeneous hemisphere with the smaller hemi-…

Q: Determine the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown. 3…

A: Given data: R=3 inh=7 in Need to determine the z-coordinate of the mass center.

Q: Find the center of mass of the thin, flat plate shown below.

A: As the mass of each section is not given but is homogenous so the center of gravity and center of…

Q: 6. Find the x and y coordinates of the center of gravity of the given unsymmetrical figure.

Q: A large shaft composed of two parts A and B. Part A is 2.5m long and weighs 32KN and part B is 2.5m…

A: Center of gravity,

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

Q: Find the center of mass a quarter of spherical crust of radius "a" a

A: The quarter of a spherical crust is shown from the front view below. Here, r is the distance from…

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: The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O,…

Q: 7. Locate the centre of gravity of the homoge Hemisphere 3 ft Cylinder 4 ft Frustrum 8 ft 5 ft 5 ft

Q: Determine the x and y scalar components of F- 325 N 48°

A: Given data: The magnitude of the force, F = 325 N. Calculate the x-component of force F,…

Q: The figure shows a cubical box that has been constructed from uniform metal plate of negligible…

A: Solution.

Q: Determine the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown.…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. 50 -145- 50 145 Dimenions in…

Q: This airplane nose wheel assembly is raised by applying a torque M, as shown. The arm AD and the…

A: From the given data,

Q: Using the Cartesian coordinate system, determine the absolute value of the distance x (in mm) from…

Q: What is centre of Mass? Prove that centre of mass of a solid object does not necessary lie within…

Q: Locate the center of Mass ( X , Y , Z ) of the Homogeneous Block Assembly Shown in Fig ( 2 ) ?

Q: When the minor and major axes of an ellipse are the same, what shape is former Select one: O A.…

A: Consider following equations of given curves: Ellipse: x2a2+y2b2=1 Hyperbola: x2a2-y2b2=1 Circle:…

Q: The welded assembly is made of a uniform rod having a mass of 2 kg per meter of length and two thin…

A: Given:- Mass of rod = 2 kg/m Mass of plate = 18 kg/m2 To Calculate:- The coordinates of the mass…

Q: Locate the center of mass (x, §,2) of the homogenous block assembly. Hint: You'll need to use volume…

A: Here the formula for center of mass is same as that of areas. Just replace volume in place of area…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

How do I find Ycm

(9)
5.
Consider the flat object bounded by the curves y = 4x and y = Vx +b_where (b=2). The area density of the
object is o = yx where the relationship between the total mass M and y is
M
-= 0.0309.
+++++|
Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the center of mass).
1
Yem =
Svdm
M

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 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

A concrete seawater dam is shown in cross section. Is the dam safe against tipping about edge A? The mass densities are 24000kg/m3 for concrete and 1030kg/m3 for seawater.
Compute the surface area of the axi-symmetric domed structure.
For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA.
If the object below has a uniform mass distribution, a=3 m , b = 6 m and c = 12 m, find the centre of gravity of the object in the sketch below is (x;y) =
Approximate the iceberg as a perfect cylinder of uniform density, If the iceberg has a diameter of 3 meters and a length of 1.9 meters find the location of the metacenter as measured from the bottom of the iceberg. Take the density of sea water to be 1030 kg/m3 and the density of the ice to be 920 kg/m3.
Let x = a(t-sint), y = a(1-cost), 0 ≤ t ≤π , a > 0 cycloid and the density function of the mass of the planar plate placed in the region bounded by the x-axis constant be 1. Using the second Pappus-Guldin Theorem, find the center of gravity of this plate.
A spherical neutrophil 16µm in diameter is resting as shown in the attached photo. The pressure difference between the inside and outside of the cell is 7.5Pa. a) Draw free body diagrams of the whole cell and one hemisphere of the cell. b) Calculate cortical tension in the cell. In a micropipette aspiration experiment, a suction pressure of 52.5 Pa was used to aspirate the neutrophil membrane. c) Draw free body diagrams of the whole cell under micropipette aspiration and the portion of the cell in the micropipette. What is the diameter of the micropipette tip used to make this hemispherical projection? Next, the micropipette aspiration was stopped, and the cell was treated with Cytochalasin D, an inhibitor of actin polymerization, causing the cortical tension to decrease by half. d) Assuming the pressures inside and outside the cell have not changed, what is the new cell radius? e) If the same micropipette was used to aspirate the cell, what would be the new suction pressure?
The following questions consider the stability of a floating iceberg. Approximate the iceberg as a perfect cylinder of uniform density, If the iceberg has a diameter of 3 meters and a length of 0.5 meters find the location of the metacenter as measured from the bottom of the iceberg. Take the density of sea water to be 1030 kg/m3 and the density of the ice to be 920 kg/m3.
It is estimated that 90 percent of an iceberg’s volume is below the surface, while only 10 percent is visible above the surface. For seawater with a density of 1025 kg/m3, estimate the density of the iceberg
a closed cylindrical vessel of diameter 15 cm and length 100 cm contains water up to a height of 80cm. the vessel is rotated at speed of 500rpm about its vertical axis.find the height in cm of the paraboloid formed.
For what uniform rotation rate in r/min about axis C willthe U-tube in Fig. take the confi guration shown? Thefl uid is mercury at 20 ° C.
A loaded scow has draft of 1.6 m in sea water (sg = 1.03) when in upright position. The scow is 6 m wide and 12 m long and 2.4 m high. The center of gravity of the scow is 1.8 m above the bottom along the vertical axis of symmetry. Assume that the center of buoyancy is located half of the height of draft. a. Determine the initial metacentric height, considering upright position. b. What is the maximum single weight in kN that can be moved transversely from the center of the unloaded scow over the top edge without sinking the scow? (Considering rolling position) c. Determine the metacentric height due to pitching if the scow is tilted until one end is just submerged in seawater.