For the machine element shown in the figure, locate the coordinates of the center ofgravity.16 mm60 mm24 mm10 mm28 mm40 mmr=13 mmr= 12 mn18 mm100 mm20 mm25 mm25 mmY20 mm

First divide the given figure in different sections and draw the diagram

Answered: For the machine element shown in the…

Engineering

Mechanical Engineering

For the machine element shown in the figure, locate the coordinates ft gravity. 16 mm 60 mm 28 mm 24 mm 10 mm 40 mín

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 8.73P

See similar textbooks

Related questions

Q: ?Find the centeroid of the shaded area shown in fig 80 60 30 Dimensions in mm X= 49.2 mm and Y= 32.8…

Q: The shaded area given in Figure 3; Calculate (a) the x-value of the center of gravity, (b) the…

A: To find: The x coordinate of centre of gravity and moment of inertia about given y axis. Formula…

Q: Find the area of the shape in the figure and then find the center of ?gravity 1 m 2 m

A: Given

Q: In the fig. shown, compute the following : (1-2) the resultant, R 50 lb 5 in.- R = 20 lb 40 lb B (3)…

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: 60 mm 10mm 35 mm 10 20 R-15 mm mm 20 mm 15 mm 70 mm

A: Divide the given shaded area into 4 elements as shown in figure

Q: Q.3) For the machine element shown, find the coordinates of the center of volume. 2 in. 1 in. 2 in.…

A: Solution:

Q: P2-8. set up the dot product to find the angle 0. Do not calculate the result. 3 m 2 m 2 m B

Q: The figure below is a composite body consisting of the following parts: [1] the triangular prism of…

A: Data given- Length of triangular prism = 120 mm Width of triangular prism =B-18 = 51-18 = 33mm…

Q: 5. Locate the center of gravity of the composite body in the figure. All dimensions are expressed in…

A: Dividing given figure in different shapes.

Q: 7. A circular cylinder is circumscribed about a right prism having a square base one meter on an…

A: Givena=1mV=6.283 m3

Q: Find the missing coordinate of P, using the fact that P lies on the unit circle in the given…

A: Consider the diagram shown below for the unit circle.

Q: The square deforms into the position shown by the dashed lines. (Figure 1) The dimensions are S = 59…

A: Data given - The square deforms into the position shown by the dashed lines (Figure 1) The…

Q: Q.8 Compression member AB is used to hold up the 325 x 500-mm rectangular plate. Consider the…

Q: 120 mm 160 mm 60 mm 80 mm - 140 mm 100 mm

A: Divide the shaded area into basic elements as shown above

Q: (b) Find F2-2 for the two-dimensional geometry. Aq is a square (A, refers to the total area of the…

A: Shape factor: When radiation is examined between two entities at two distinct orientations, the…

Q: H.w-4 Find the area of the shapes in the figure and then find the center of gravity? 2 m 1m Im 2 m…

A: GIVEN :- A composite shape . TO FIND :- Areas of shape. Center of gravity. DIAGRAM OF SECTIONS :-…

Q: Find the center of gravity M of the three-dimensional homogeneous wire ABCD in the figure using the…

A: Given :- a = 24 cm b = 36 cm Find :- Coordinates for BC part = ?

Q: The sheet metal form as shown in Figure Q5 and has a dimension with x, y and z axis respectively.…

Q: Solve for the Center of Gravity of the figure below. 4.cm 1 cm 4 cm 2 cm 1 cm 1.5 cm 1cm

A: Divide the figure in three rectangle Ist Rectangle is 1cm*4cm center of gravity of 1st rectangle…

Q: 5. Find the centroidal distances with respect to x and y axes. NOTE: the figure shown is a shaded…

A: Solution: To find: Centroidal distances from x and y axis.

Q: Locate the centroid of the figure below. 200 mm 500 mm 10 mm 200 mm 150 mm 400 mm ANS:= mm = mm (one…

Q: 13. A semicircle of 90 mm radies is cut out from a trapezium as shown in Fig 6.2 – 200 mm- 120 mm…

A: Let's determine the centroid of this figure that is symmetrical to the Y-axis The semicircle is cut…

Q: the shaded area shown in the figure below (fig 2). te the coordinates of center of gravity using the…

Q: If R1=40mm and R2=100mm Calculate the following with respect to the coordinate axes. 1) Area of the…

Q: 30. Pistons of an Engine The pistons in a car engine move up and down repeatedly to turn the…

A: Let us consider triangle POQ Apply trigonometry ratio Secθ=OPOQSecθ=OP2OP=2secθ

Q: Given the composite figure, 80 mm 30 mm 60 mm 90 mm 30 mm X- 20 mm The first moment of an area (mm)…

A: Answer: The first moment of area about y-axis : Qy = 246,000 mm3.

Q: In figure 1, what is the eccentricity of the force from the center of gravity 0.087m 0.079m 0.097m O…

Q: Using the figure, find the magnitude of the resultant force. Numbers in picture are: Orange: 236 Ib…

Q: ector shown in the figure below have a length of 3m and the angles shown / nd B are 60 and 30…

A: To find x and y components of vector

Q: Solve the problem with complete solution and draw the figure. Find the ordinate of the centroid of…

Q: Calculate Centre of gravity for the following figure + 60 mm 1) 30 mm 80 mm 30 mm 30 mm

A: The problem is solved in the tabulated method: S.No Area(mm2) xi yi Aixi Aiyi 1 1800 15 50…

Q: Find the angle between the two given vectors. u = (1, -4, 1), v = 3(0,2, -2) Write your answer in…

Q: FIND THE FOLLOWING SHAPE WEIGHT CENTER BY REFERENCES O point.

A: Write the expression of distance c.

Q: Calculate Centre of gravity for the following figure k 60 mm 30 mm 2) 80 mm 30 mm 3 30 mm -100 mm

A: Given data as per question A1=60×30=1800 mm2A2=80×30=2400 mm2A3=30×100=3000…

Q: y 25 mm 20 mm 125 mm 2. A piece of sheet metal, with uniform thickness, is bent into the shape shown…

Q: P2-8. set up the dot product to find the angle 0. Do not calculate the result. m 2 m -2 m 2 m 1.5 m…

A: Given Data: The coordinate of point A is (-2,2,1) The coordinate of point B is (1.5,0,-2). The OA…

Q: 100 mm A- 50 mm B Fig. 6.31.

A: Take A point as origin Draw sketch for better understanding As Figure is symmetric about X-axis, So…

Q: Calculate Centre of gravity for the following figure + 60 mm 30 mm 2) 80 mm 30 mm 30 mm 100 mm

A: Form the figure there are three sections 1,2,3 Now calculate the area of section 1 A1=60×30A1=1800…

Q: Consider the area shown in (Figure 1). Suppose that L = 5.7 in. Part A Locate the centroid (z, y) of…

Q: The figure below is a composite body consisting of the following parts:[3] the semicircular part…

Q: 1.29 Determine the resultant of the position 3m 1.0m 2 m Figure P1.29

A: Draw the figure showing resultant and origin.

Q: 2. Find the centroidal distances from x-axis and y-axis. 125 mm 60 mm 42 mm

Q: Y R20 R40 R20

Q: The figure below is a composite body consisting of the following parts: [1] the triangular prism of…

Q: F2 F1

A: givenfind value of F2l1=95cml2=50cm

Q: A uniform piece of sheet metal is shaped as shown in the figure below. Compute the x and y…

Q: H.w-3 Find the area of the shapes in the figure and then find the center of gravity? r = 1,

Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

For the machine element shown in the figure, locate the coordinates of the center of
gravity.
16 mm
60 mm
24 mm
10 mm
28 mm
40 mm
r=13 mm
r= 12 mn
18 mm
100 mm
20 mm
25 mm
25 mm
Y
20 mm

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 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

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.
2 - Constant thickness homogeneous planar plate in the figure coordinates of the center of gravity M (Xm, Ym) of the surface area, Find it on the (x, y) set. t = 3 cm and a = 9 cm. Find the coordinates (Xm; Ym) of the rectangle extracted from this planar plate in the x and y axes.A) (9; 25.5)B) (9; 13)C) (9; 18)D) (9; 15)E) (9; 22.5)
It is common to hang objects on doorknobs and over-the-door hooks. There is a limit to the amount of weight that a door can hold because of the forces exerted on the hinges. A door of height h = 2.5 m and width h/2 has a mass of M = 36 kg. The mass is distributed uniformly, so the center of mass is located at the geometric center of the door. One hinge is located a distance h/4 from the top of the door. The second hinge is a distance h/4 from the bottom of the door. Refer to (a) in the figure. The door’s weight is supported entirely by the two hinges and each hinge supports half of the weight. In other words, the vertical force exerted by each hinge is exactly one half of the total weight, including any additional load. For this problem, take the positive y-direction to be directly upward and the positive x-direction pointing from the hinge side of the door to the knob side. 1.) calculate the force, with its sign in Newtons that the upper hinge exerts on the door in the x axis.…
10 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the CD part of the homogeneous wire in the x, y and z axes correctly given?A) (18 ; 24 ; 0)B) (18 ; 12 ; 24)C) (18 ; 12 ; 0)D) (18 ; 24 ; 24)E) (18 ; 24 ; 12)
29 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the AB part of the homogeneous wire in the x, y and z axes given correctly?A) (36 ; 24 ; 12)B) (18 ; 12 ; 0)C) (36 ; 12 ; 0)D) (36 ; 24 ; 0)E) (36 ; 12 ; 24)
6 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD in the figure using the (x, y, z) coordinate set. The dimensions of the wire are a = 24 cm, b = 36 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) (36; 12; 24)B) (18; 12; 0)C) (36; 24; 12)D) (36; 12; 0)E) (36; 24; 0)
13 - 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 = 24 cm, b = 36 cm. The coordinates of the AB part of the homogeneous wire in the x, y and z axes are given in the following:A) (36; 12; 0)B) (36; 24; 0)C) (36; 24; 12)D) (18; 12; 0)E) (36; 12; 24)
The y coordinate of the center of mass of the disk element given in the figure is [ft]. Determine. [Volume of disk element dV=πz2dy can be calculated from the equation].
The figure below is a composite body consisting of the following parts: [1] the triangular prism of length 120 mm, width of (B-18) mm and thickness A mm; [2] the rectangular parallelepiped of length 160 mm, width A mm and thickness 18 mm; [3] the semicircular part with diameter A mm and thickness 18 mm; [4] the hole of radius 16 mm and thickness 18 mm. Dimension A = 52 mm; B = 51 mm. For the composite body, determine its total volume in mm^3.
3 - Obtain the center of gravity of the surface area of the constant thickness plane plate in the figure in the (x, y) set given. Dimensions a = 13 m, b = 17 m and r = 1 m, the center of the circle is at the point (2a, 1/2 b). Which of the following is the correct coordinates of the center of gravity of the triangle on the plate?A) (36.67; 7.67)B) (43.33; 5.67)C) (43.33; 7.67)D) (40; 7.67)E) (36.67; 5.67)
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)
11 - Obtain the center of gravity of the surface area of the constant thickness plane plate in the figure in the (x, y) set given. Dimensions a = 12 m, b = 23 m and r = 3 m, the center of the circle is at the point (2a, 1/2 b). Which of the following is the correct coordinates of the center of gravity of the circle on the plate?A) (24; 12)B) (24; 11.5)C) (12; 11.5)D) (12; 23)E) (24; 23)