25. ..s) Two circles, each of radius r, have their centers located at (0,2) and (0,3). Each is used to create a volume of revolution that is a torus when the circle is rotated 360° around the x axis. Using a concept from this course, prove mathematically that the ratio of the volumes of the two toruses is 1.5.
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Q: Q2: Draw the orthographic Projections of given ohject.
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Q: Consider the shaded area shown in (Figure 1). Suppose that aaa = 130 mmmm, bbb = 190 mmmm, and rrr =…
A: Given:- a=130mm b=190mm r=80mm To find:- Moment of inertia of shaded portion about x-axis
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A: Given: R3 = 1 cm R4 = 3 cm
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A: Explanation: The object that enable us to activate end points, tangent, centers, midpoints the…
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Q: Activity 2. A rectangle is 4cm by 6cm. determine its polar moment of inertia with respect to an axis…
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A: Dimensioning of a circle can be done by specifying it's radius or its diameter
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A: Ans-C(m4)
Q: Q/DRAW THE PROJECTIONS OF A SHAPE
A: According to the details provided in the question, we need to calculate projections of the object.
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A: Answer: Centroid ( 44.78 , 27.19 , 26.25 ) For a step-by-step solution have a look through the…
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Q: Consider the shaded area shown in (Figure 1). Suppose that a = 130 mm , b = 150 mm, and r = 80 mm.…
A: Data given- a= 130 mm b= 150 mm r= 80 mm
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Q: For the multi shapes, the moment of inertia is ................. to the algebraic sum of the moments…
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A: To find :- Approximate centre of mass
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A: For a symmetric body center of mass is located at the geometrical center.
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A: Moment of inertia of an area
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- The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.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.The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine Ixy.
- Compute Ix and Iy for the region shown.The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Suppose that a= 640 mmA centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids.An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.05 ft , where a is the diameter of the semi-circle,b = 3.74 ft , and c = 2.45 ft . A hole with diameter d = 0.700 ft is centered at (0.925,0.525) . Part A Find the area of the body. (Figure 1) Express your answer numerically in feet squared to three significant figures. Part B Find x¯ , the x -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. Part C Find y¯ , the y -coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures.
- b)A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.3 29knd. A cylinder of 50 mm diameter and height 60 mm is resting on base in H.P. A circular hole of 20 mm diameter is drilled , so that the axis of the hole is perpendicular to V.P and bisects the axis of cylinder at right angles . Draw the development of the lateral surface of the cylinder with the slot . Draw neatly with pencil and take correct values must**Find the first moment of area, why don’t you include the middle portion in the calculation?
- A beam of length L = 22 in supports a load which varies from w = 20 lb per ft at the right end to zero at the left end. Determine the position (in meters) of the resultant load measured from the left.a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (σmax) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.