*6-48. Determine the distanceh to which a 100-mm-diameter hole must be bored into the base of the cone so that the center of gravity of the resulting shape is located at ? - 115 mm. The material has a density of 8 Mg/m'. so0 mm S0 mmi 150

Q: Determine the centroid ỹ of the shaded area as shown in Figure Q5. y y=1-2 1 m -2 m-

A:

Q: F9-10. Locate the centroid (T. F) of the cross-sectional area. 4 in. Tos in. -3 in.- F9-10

A:

Q: If the 600-kN force acts through the centroid of the cross-section, determine the location y of the…

A: Given figure and loading conditions

Q: *6-44. Locate the distance y to the centroid of the member's cross-sectional area. E0 mm

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

Q: Locate the center of gravity of the hammer if the mass of the steel head is 0.919 kg, and the mass…

A: The center of gravity of the hammer is x-=0, y-=-3.12 mm, z-=5.21 mm.

Q: Locate the center of mass x̄ of the straight rod if itsmass per unit length is given by m = m0(1 +…

A:

Q: 6-53. The composite plate is made from both steel (A) and brass (B) segments. Determine the weight…

A: Given Data: The density of steel is ρst = 7.85 Mg/m3. The density of brass is ρbr = 8.74 Mg/m3. The…

Q: : Find the centroid of the next shaded area. 1m Im 1 Y 1.5m Im r=1

A:

Q: 6-27. Locate the centroid y of the area. ута 100 mm -100 mm-

A: The curve and line expressions are given as, The area of the shaded part is given as,

Q: 6-49. Determine the distance 7 to the centroid of the shape that consists of a cone with a hole of…

A: the given 3d object is a combination of cone and cylinder the centroid of the cylinder will be at a…

Q: Determine the volume of the solid obtained by rotating the area of Prob. 5.4 about (a) the x axis,…

A: Consider the diagram shown below for the given cross-section.

Q: Q6) Locate the centroid (1, 9) of the composite shaded area in Fig (6). 3m- - 3m R=1.5 R=1m 10.5m…

A:

Q: 6-34. Locate the centroid of the quarter-cone.

A: Consider the diagram shown below for the element volume inside the quatre cone. Here,

Q: F9-1. Determine the centroid (x, y) of the shaded area. 1m 1 m F9-1

A:

Q: Locate the centroid of the cross section below Hint: Cut the cross section into a rectangular shapes…

A:

Q: 6-50. The assembly is made from a steel hemisphere, Pa - 7.80 Mg/m', and Pa - 2.70 Mg/m'. Determine…

A: Density of steel hemisphere, ρS = 7.8 Mg/m3. Density of aluminium cylinder, ρAL =2.7 Mg/m3. Radius…

Q: 9-62. Locate the centroid (x, y) of the member's cross- sectional area. 30 mm 40 mm 50 mm 100 mm -60…

A: We will draw the cross section of the members: As shown above the cross section is divided into…

Q: A 6 12 -Хо 12 Х

A:

Q: 6-51. The assembly is made from a steel hemisphere, Pa - 7.80 Mg/m, and Pal - 2.70 Mg/m'. Determine…

A: Given data: The density of steel hemisphere is ρst = 7.80 Mg/m3 = 8 x 103 kg/m3. The radius of the…

Q: y 100 mm 140 mm 50 mm 140 mm -200 mm-

A:

Q: 6-15. Locate the centroid (7, 9) of the area. т 1m -2 m- Prob. 6-15

A: Given Data: The equation of curve is y = 1-x2/4.   Due to symmetry:   The centroid of given area in…

Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. Answer: y = 1…

A: Correct answer: pi/2 = 1.57

Q: 6-21. Locate the centroid y of the area. x-b) -в—

A: The area with the strip is given as, The functions are given as, The area of the strip is written…

Q: 1.2 m 0-3m Osm. 2.2m Q. locate the Centroid Por the following areas:

A:

Q: 6-43. Locate the centroid y of the cross-sectional area of the built-up beam. 190m s 0 mm 490mm

A: A1=300×20 A1=6000 mm2 A2=200×2A2=4000 mm2 A3=A4=450×20=9000 mm2

Q: 5-102 Locate the centroid of the shaded area shown in Fig. 100 mm 60 mm 60 mm 100 mm 160 mm 40 mm 40…

A:

Q: *6-36. Locate the centroid y of the channel's cross- sectional area. 20 mm 20 mm 420 mm- 20 mm 40 mm

A: Given Data: Dimensions in the figure. The figure of each area is show below, The below table…

Q: R9-4. Locate the centroid of the rod. 4 ft 4 ft 2 ft

A: First locate the centroid of the vertical part of the rod and the semicircular part of the rod…

Q: 6-14. Locate the centroid (F, 7) of the area. y- 3(1 -)

A: The given function is, y =3 (1-x2) Consider a strip as shown in figure below of width dx and height…

Q: 6-25. Locate the centroid y of the area. Im -1 m

A: The given problem will be solved by using method of integration. We have to consider an elemental…

Q: 5-101 Locate the centroid of the shaded area shown in Fig. y y? = 2x 2 in. y= 0.52 2 in.

A: The diagram of the shaded area with a vertical strip is given as, The equations of curves are given…

Q: Q2/Determine coordinates of centroid of the shaded area shown in figure bellow. The measurements are…

A: .

Q: Ex.4. Locate the y centroid for the paraboloid of revolution, shown in Fig. 9-14. = 100y -y= y- (0,…

A:

Q: 9-6. Locate the centroid y of the area. =1-2 1m -2 m-

A:

Q: 9-25. The plate has a thickness of 0.25 ft and a specific weight of y = 180 lb/ft'. Determine the…

A:

Q: Half the cross section of the steel housing is shown in the figure. There are six 10-mm-diameter…

A:

Q: 6-1. Locate the centroid I of the area. 16 4 m -8 m-

A: Let's assume the centroid of the shaded region is at point 'C' and the coordinates of the point 'C'…

Q: of the disk a? + y?< 9 in the first quadrant and the density at each point is given A lamina…

A: As per company policy, we are restricted to solve only three sub-part in one question at a time.…

Q: 6-5. Locate the centroid y of the area. y = -b-

A: Given Data: The given curve is y=hb2x2 The curve extends from (0,0) to (h,b). To determine the…

Q: 6-9. Locate the centroid y of the area.

A: Given Data: The given curve is y=x24 The curve extends from (0,0) to (4,4). To determine the y…

Q: *6-32. Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the…

A: Given: The equation formed by revolving the shaded region is y2+z-a2=a2 The centroid or center of…

Q: Determine the distance from the upper surface of the symmetric double-T beam cross section to the…

A:

Q: F6-9. Locate the centroid y of the beam's cross-sectional area. 400 mm- 50 mm 200 mm 50 mim 50 mim

A: Given data: Cross-section area of the beam as shown   To determine: Location of the centroid y-

Q: surface is generated by revolving the circular arc of 0.8 m radius and subtended angle of 120…

A: The circumference of the arc is rotated about the z-axis. Hence the area generated can be found by…

Q: 9-69. A triangular plate made of homogeneous material has a constant thickness that is very small.…

A:

Q: 6-42. Locate the centroid y of the cross-sectional area of the beam constructed from a channel and a…

A: The area of each segment and its respective centroid is shown below which is having all components…

Q: In the first (1*) quadrant find the centroid of the area using this equation/curve: x² + y? = 4z²

A: Draw the curve for the given equation. In the above diagram, a strip of width dx is considered to…

Q: Locate the centroid (x̄, y̅) of the metal cross section.Neglect the thickness of the material and…

A: Draw a diagram for the cross-section and the cross-section can be divided into 4 parts marked as 1,…

Q: 6-13. Locate the centroid y of the area.

A: Given Data: The given curve is y=-ha2x2+h To determine the y coordinate of centroid take an…

Q: A- Locate the centroid (X only) of the shaded area y =12 - 3 x 3 m Fig.1.A 3 m y = 4 – 2 m- 2 m-

A: The centroid of an area can be thought of as the geometric center of that area. The location of the…