Concept explainers
For the following computer problems, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory. For spreadsheet problems, any appropriate software may be used.
7.16 Write a program that will calculate the location of the centroid of a semicircle (measured from the daimeter line). This may be accomplished by dividing the area into slices of uniform width, either parallel or perpendicular to the diameter, and applying Equation (7.4). User input is to be the radius and width of the slice. Check the result with that obtained from Table 2. Note how the accuracy varies with the choice of the slice width.
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Applied Statics and Strength of Materials (6th Edition)
- Compute the coordinates of the centroid (E, 9) of the area shown. Also compute the area moment of intertia about the z' and y' axes with origin at the centroid. 2013 Michael Swanbom BY NC SA + C *b * a d a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 42 cm 18 cm 81 cm The z coordinate of the centroid is z = cm. The y coordinate of the centroid is j cm. The moment of inertia about the a'axis going through the centroid is I, cm*. The moment of inertia about the y' axis going through the centroid is Iy cm*.arrow_forwardCompute the coordinates of the centroid (ã, j) of the area shown. y y = = a /bx BY NC SA 2016 Eric Davishahl Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 3.5 in 1.4 in (Note the -1 exponent only applies to the unit, not the number.) 7 in The x coordinate of the centroid is a in. The y coordinate of the centroid is y in. ||arrow_forwardCalculate the X-coordinate of the centroid of the rectangle shown in Figure. Y. 100 mm 300 mm 200 mm 100 mm (0,0) Select one: O a. 200 mm O b. 100 mm O c. 250 mnm O d. 150 mmarrow_forward
- 4) Listen For the composite area shown in the image below, if the dimensions are a 38 mm, b = 212 mm, c = 292 mm, and b 134 mm, determine the coordinate y (in mm) for its centroid location, measured from the bottom x-axis. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. C Your Answer:arrow_forward2:36 | 11 local_m...0408289 Gate Liquid 3 m -3 ft- FIGURE 4.0 1 m 60 FIGURE 1.0 TASK 2: Solve the value of buoyancy using Archimedes' Principle Problem Solving Instructions; Analyze and solve the following problems. Enclose your final an- swer in a box. 1. A block of steel (sg=7.85) will float at a mercury-water interface. What will be the ra- tio of x and y for this condition. 2. An iceberg in the ocean floats with one seventh of its volume above the surface. What is its specific gravity relative to the ocean water? What portion of its volume would be above the surface if ice were floating in pure water? sg=10.10KN/m^3 3. A rectangular 9m wide, 15m long, and 3.6m high has a draft in sea water of 2.4m. Its center of gravity 2.5m above the bottom of the scow. Determine the initial metacen- tric height and the righting moment or overturning moment when the scow tilts until one side is just at the point of submergence. 4. Water backs up behind a concrete dam as shown infigure 1. Leakage…arrow_forwardFOLLOW THESE STEPS FOR UPVOTE Given Required Diagram Solution Conclusion Do not round off while solving. lb Question: A spherical balloon containing Oxygen (initially at sea level) has a diameter of 8 in. If the uniform density of air is 0.07498 and that the pressure at sea level is 14.7 psia, determine the new ft³ diameter (inch) of the balloon if it has been brought above sea level by 6000 ft.arrow_forward
- Suppose that L4 in. (Floure 1) Figure L 1 in. +3 in. 3 in Part A Locate the centroid (8.) of the shaded area Express your answers using three significant figures separated by a comma View Available Hint) VAX Ivec 2.9- Submit Provide Feedback lud)arrow_forwardQ1: Compute the new position of the square [A(11,11), B(21,11), C(21,21), D(11,21)] after its rotation by 90 degree clockwise about the centroid.arrow_forwardChat Instructions 2. For the shaded area shown, determine Portfolio a. The location of its centroid b. The moment of inertia and radius of gyration with respect to its centroidal x - axis Shortcuts c. The moment of inertia and radius of gyration with respect to its centroidal y -axis USL Library 160 mm Get Help 40 mm 200 mm 40 mm 1 40 mm 120 mm W Type here to searcharrow_forward
- b) Draw the projections of a cylinder of 75 mm diameter and 100 mm long lying on the ground with itsaxis inclined at 30 0 to VP and parallel to the ground.arrow_forwarda) A homogeneous thin wire as shown in the figurebent. Determine the coordinates of the center of gravity of the wire.b) Calculate the coordinates of the center of gravity, assuming that the region inside the wire is produced from a solid and homogeneous plate.arrow_forwardHomework Q1/. Determine the coordinates of the centroid of the shaded area. See figure (1). 20 40 50 20 40 40 30 140 Dimensions in millimeters Fig (1)arrow_forward
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