Use the theorems of Pappus and Guldinus to solve the fol- lowing problems. Determine the volume V of the solid body generated by re- volving The shaded area of Fig. through an angle of 360° about the x-axis. 100 150 mm mm 150 mm 150 mm 150 mm 100 mm

Q: 3. Determine the centroid of the area as shown in the figure. 20 cm 20 cm 40 cm 40 cm 20 cm 80 cm

A:

Q: alculate the y-coordinate of the centroid of the shaded area. 75 mm 38 mm - 38 38 mm mm nswer: y =…

A:

Q: Determine the surface area of the object obtained by rotating the semicircle shown about the y-axis.…

A:

Q: 5. Determine the centroid of the composite figure below: 15 15 - 20 cm 15cm 80 cm 30 cm

A: Area of each section is calculated separately. Centroid of each section is calculated. Summation…

Q: Q5: By inspection, state the quadrant in which the centroid of the shaded area is located. Then…

A:

Q: Locate the centroid of the shaded area shown below. 1.50m 0.75m 1.50m -► X

A:

Q: Determine the volume of a s spherical wedge of radius 2 m and a central angle of 1.25 radians.

A: Radius of spherical wedge, R = 2 m Central angle, θ = 1.25 radians

Q: Draw the isometric view of frustum of square pyramid of base edge 70, truncated edge 40 and height…

A: Given: base edge = 70 mm truncated edge = 40 mm Height = 50 mm

Q: Determine the volume of the solid generated by rotating the parabolic area shown about (a) the x…

A:

Q: Determine the volume Vand total surface area A of the solid generated by revolving the area shown…

A:

Q: Q4: determine the location of the centroid of the shaded area shown in Fig.3 400 Fig.(3) 300…

A: A1= 400×700=280×103mm2A2=400×700= 280×103mm2y1=7002= 350mm , y2= 350mmx1=x2= 4002= 200mmAa=…

Q: From the rectangular area shown a semicircle of radius 4 cm is removed. Locate the centroid of the…

A: To determine the centroid.

Q: Determine the coordinates of the centroid of the shaded area below ? 200 mm 200 mm 150 mm 125 mm 60…

A: Firstly divide the section into three parts ,the second section is hollow circle, thus substract its…

Q: Find the centroid of the given plate. All Dimensions are in mm 15 70 25 80

A:

Q: Locate the centroid of the shaded area shown in each of the following figures. 75 mm 75 mm 50 mm 75…

A:

Q: 8 cm r= 3 cm 10 cm R= 5 cm

A: The Center of mass is a point where the sum of the moment of the weight of each particle is zero. It…

Q: Determine the volume Vand total surface area A of the solid generated by revolving the area shown…

A: Semicircle radius, r= 43 mm Rectangle breadth, b= 43+43= 86 mm Rectangle height, h= 30 mm Distance…

Q: Determine the centroidal z-coordinate (in mm, round=off to 2 decimal places) of the surface shown.…

A:

Q: : Determine the X- and y- coordinates of the centroid of the shaded area. gomm 20 mm 20 mm 6o mm

A:

Q: 4 pulg 4 pulg 3.5 pulg 6.5 pulg" 17 pulg 8 pulg

A: Solution : Actual volume of the figure is calculated as:

Q: Determine the x- and y-coordinates of the centroid of the shaded area shown. ! 2", 2" -1.00" 4"…

A:

Q: Determine the centroidal y-coordinate (in m, round=off to 4 decimal places) of the surface shown.…

A: given- figure to be determine- centroidal y coordinate

Q: Locate the centroid of the shaded area shown in each of the following figures. y 25y = 50x -x2 50 mm

A: Given data Equation of curve, 25y = 50x – x2 The centroid of the given area in the x-direction can…

Q: Use the theorems of Pappus and Guldinus to solve the fol- löwing problems. Determine the surface…

A: Given Data: The semicircle has a radius = r The semicircle is rotated about the y-axis. The Pappus…

Q: Locate the centroid of the plane area shown.

A: Given figure,

Q: Find the location of the centroid of the shape shown, using the axis system shown. 120 mm 60 mm 40…

A:

Q: For the volume shown in Fig. (5), locate the centroid C(X, Y, Z) Fig. (5) 25 35 k

A:

Q: Q 3:Determine the center of gravity of the object formed by the combination of homogeneous blocks…

A: The given object formed by the combination of homogeneous blocks will divided into 5 subparts as…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. y 50 mm 20 mm 40 30 mm mm -40…

A: Consider the below figure.

Q: Determine the centroidal z-coordinate (in m, round=off to 4 decimal places) of the surface shown.…

A:

Q: Locate the centroid of the area shown below. What is the y-coordinate (in cm)? y y = (x/k) 80 cm y…

A: First, calculate the value of k : for line 1:y=kx3for x=80, y=8080=k(80)3 k=1802 now take a strip of…

Q: Locate the centroid of the plane area shown.

A:

Q: From the rectangular area shown a semicircle of radius 4 cm is removed. Locate the centroid of the…

A:

Q: Using the method of composite figures, а. Determine the total length (in mm) of the figure shown. b.…

A:

Q: From the rectangular area shown a semicircle of radius 4 cm is removed. Locate the centroid of the…

A:

Q: Locate the centroid of the shaded area shown in each of the following figures. 50 mm 25 mm 50 mm 25…

A: Draw the diagram of the given figure as a composite of three rectangles as shown in the figure…

Q: Locate the centroid of the shaded area in the figure created by cutting a semi-circle of diameter d,…

A: Consider the diagram as shown below.

Q: 3. Locate the centroid of the plane area shown. 120 mm r = 75 mm

A:

Q: Locate the centroid of the plane area shown 6 in. – 6 in. 3 in. 6 in. 6 in. Write you answers…

A: To find centroid of plane area

Q: 120 mm 60 mm 40 mm 80 mm 60 mm

A:

Q: 120 mm 60 mm 40 mm 80 imm 60 jmm

A: As per given question  We have to  determine the location of the centroid. About x-axis and y-axis

Q: Locate the centroid X, of the figure shown? 10 mm 7 mm | 7 mm

A: Given: A complex shape is given. The hight of the shape is, h=10 mm. The base of the shape is, b=14…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. y 50 mm 20 mm 40 30 mm mm - X…

A: Given data To determine the x and y coordinates of the centroid of the shaded area.

Q: 'For the volume shown in Fig. (5), locate the centroid C(X, Y, Z) Fig. (5) 25 35 k

A:

Q: 75 mm 75 mm 75 mm- X

A:

Q: Locate the centroid of the plane area shown. 40 mm 80 mm r-60 mm 40 mm 120 mm r= 40 mm -120 mm

A: Two figure is given  Let assume X and Y be the centroid (X,Υ)  For every part ,Centroid can be…

Q: From the rectangular area shown a semicircle of radius 4 cm is removed. Locate the centroid of the…

A: Given data: R=4 cm Need to determine the centroid of the remaining area of rectangle in terms of y.

Q: Locate the centroid X, of the figure shown? 10 mm 7 mm 7 mm

A: Given Data⇒ Problem definition⇒ Problem says locate the centroid Xc of the figure.

Q: Determine the x- and y-coordinates of the centroid of the shaded area. ュー - 520 140 60° 60° 350 175…

A: Answer: x = 250.188885 mm y = 175 mm