A ring is obtained by rotating the shaded area 360° about the y-axis. Determine its surface area and volum Given, d= 110 ft. You can calculate 'h'. **

Q: a) Evaluate the surface area of a paraboloid :=4-2-y that lies above the ry-plane.

A: Given that  To evaluate the surface area of paraboloid z= 4- x2 - y2  that lies above the XY plane

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: 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: The opposite plate is composed of a square from which a quadrant is removed. For a=3 m and a density…

A:

Q: The opposite plate is composed of a square from which a quadrant is removed. For a=6 m and a density…

A: Given: Plate dimension is 6m. Area density of the plate is 3.7 kg/m2.

Q: Determine the x-coordin homogeneous hemisphere with the smaller hemi- spherical portion removed. R y…

A: To find: The x coordinate of the centroid of the mass center of the hemisphere, x = ?   Divide the…

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

A:

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: Determine the second moment of area for the shaded region shown in Fig. with respect to The x-axis.…

A: The given function is, y  cos x Consider a small rectangular element dx at a distance x from the…

Q: Determine the area of the shaded region.

A:

Q: QI. Locate the centroid of the shaded area shown in the Figure (1). y-

A: Centroid of an area is defined as the point in the area which is located such that it is equidistant…

Q: Use the theorems of Pappus and Guldinus to solve the fol- lowing problems. Determine the volume V of…

A:

Q: Q2. Draw the isometric view of a right circular cone of base diameter 50 mm and height of axis 80…

A: Here, Base side = 35 mm Height = 70 mm

Q: Locate the centroid of the plate area shown in Figure. (SN/10) ft 1 ft 1 ft (MN/10) ft

A: The area of the triangle ABC is:A1=12×5.5×1+13A1=38.5 ft2 The area of the rectangle PBQR…

Q: Locate the centroid of the area shown below. y 1 ft 2 ft 1 ft Your answer

A:

Q: Determine the centroid of the shaded area shown in figure below with respect to (X) and (y) аxes. 10…

A:

Q: Find the centroid of a thin, flat plate covering the “triangular”region in the first quadrant…

A: According to the given information, we have the typical vertical strip has a center of mass…

Q: Locate the centroid of the rectangle shown. 7 in. 3 in. 2 in. Write in the corresponding blanks…

A:

Q: If the area of the triangle is 25 square meter, the centroid of the shaded area shown in figure (4)…

A: A1=25 m2 As triangle is equilateral, so the side of triangles; 34·a2=25a=7.6 m area of circle;…

Q: Determine the centroid of the composite area as shown in the figure: 20 cm

A: Length, L = 25 cm  Height of rectangle, h1 = 30 cm    Height of triangle, h2…

Q: (b) Figure Q2(b) illustrates the side view of a house. Determine the centroid of the depicted area…

A: To find: The centroid of the depicted area with a rectangular window cutout. Free body diagram: The…

Q: y = x³ 1m 1 m The location of the centroid from the x-axis is equal to 0.29 m O 0.27 m 0.33 m O 0.31…

A: Given: The span of area on x-axis, x = 1 m The span of area on y-axis, y = 1 m

Q: Find the centroid of the given plate with a circular hole of diameter 80 mm

A:

Q: Locate the centroid of the plane area shown by dividing the plane area into a rectangle and two…

A:

Q: Obtain the center of gravity of the surface area of the plane plate of constant thickness in the…

A: Given a = 12 m b = 23 m r = 3 m To find Center of gravity at Y axis

Q: Q Determine the volume and the surface area of the solid obtained by rotating the plane area about…

A: Component Area  x̄ ȳ x̄A ȳA Quarter Circle 3.14(60)2/4=2827.43 4(60)/3.14=25.46 120-25.46=94.54…

Q: Find the centeroid of the shaded area ?shown in fig Y R=1.5 4 6

A:

Q: H.W. 1: For the area shown below, determine the location of centroid. 0.25 cm 1 cm Hole (r= 0.5 cm)…

A: Consider the given section into three different sections as shown below.

Q: The opposite plate is composed of a square from which a quadrant is removed. For a=6 m and a density…

A: We’ll answer the Third question since the exact one wasn’t specified and the first is not solvable.…

Q: 5. The composite area is composed of a triangle and a quarter circle as shown in the figure. Which…

A:

Q: Locate the centroid of the plane area shown. r= 10 in. B a = 5 in. a = 5 in. Write your answers…

A:

Q: Home work 2 Locate the centroid of the plate area shown in 2 ft 1ft 1 ft 2-14

A:

Q: Use the theorems of Pappus and Guldinus to solve the fol- lowing problems. Determine the volume V of…

A: The area of the figure is

Q: Draw the free body diagram of each sphere

A:

Q: use the method of composite areas to calculate the centroidal coordinates of the plane regions shown…

A:

Q: Locate the centroid of the shaded plane area shown in Figure A

A: Taking point E as the origin the diagram can be redrawn as, Here the diagram is divided into three…

Q: Determine the second moment of area for the shaded region shown in Fig. with respect to The y-axis.…

A: Now for given problem we have the following fig.

Q: A circular plate with radius r = 0.785 m lies next to a rectangular plate with base br = 0.948 m and…

A: Given ThatCircler=0.785mRectanglebr=0.948mhr=0.770mTrianglebt=1.41mht=0.712m

Q: y Question 1: Thickness t Tx = ky2 %3D Consider a homogeneous plate of uniform thickness t as shown…

A:

Q: Determine the y-coordinate of the centroid of the shaded area shown. 15" Parabolic- 5" 7" Answer: y…

A:

Q: Locate the centroid of the plate area shown in the figure. 5000 2500 R1500 +

A:

Q: Q2 | Determine the X- and Y-coordinates of the centroid of the shaded area. 2 2 1.25 R 1.25 R Figure…

A:

Q: 2. Locate the centroid of the composite figure below. 6 m. z m. Kzm.*

A:

Q: Determine the coordinates of the centroid of the area that lies tween ne straight line x =2y/3 and…

A:

Q: H.W. 1: For the area shown below, determine the location of centroid. 0.25 cm cm Hole (r = 0.5 cm) 1…

A: Consider the diagram: The Given area is symmetrical about the X-axis therefore the Y-coordinate of…

Q: Figure 1 below shows an aluminium sheet of uniform thickness. 50 cm radius: 20 cm 80 cm Figure 1…

A: Given: The areas can be divided into A1, A2 and A3 as shown in the figure below,

Q: 2. Locate the centroid of the composite figure below. 木 6 m. z m. KZm.*

A:

Q: 100 mm 80 mm 200 mm 150 mm 75 mm

A: Consider the given section as shown below – The area and centroid of every section is given below –…

Metrology of surface finish

In general terms, the application of scientific principles in the study of measurements is known as metrology. When speaking about measurement, it could be of time, length, microstructures, grain structures, internal crystal discontinuities, surface roughness, measurements of angles, height, width, and so on. While coming to the domain of mechanical engineering, metrology is considered the science of measurements of surface finish, length, surface texture, and angles.