BIOS255 Lab Week6

Problem 1 Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. A 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. Figure ←d→ x Part A IVE ΑΣΦ | 4 T, 1.610,0.5075 Submit An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.20 ft ,b= 3.74 ft, and c = 2.45 ft. A hole with diameter d = 0.600 ft is centered at (1.00, 0.600). Find z, y, the coordinates of the body's centroid. (Figure 1) Express your answers numerically in feet to three significant figures separated by a comma. ▸ View Available Hint(s) Previous Answers Provide Feedback vec • * Incorrect; Try Again; 4 attempts remaining ? 1 of 5 ft Review > Next > Activate Windows Go to…

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Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. A 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 = 1.25 ft, where a is the diameter of the semi-circle, b = 3.71 ft, and c = 2.30 ft. A hole with diameter d = 0.750 ft is centered at (1.09, 0.625). Figure kd- J = 0.737 Find y, the y-coordinate of the body's centroid. (Figure 1) Express your answer numerically in feet to three significant figures. View Available Hint(s) ΑΣΦ Submit Previous Answers vec 3 X Incorrect; Try Again; 2 attempts remaining ? ft

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Learning Task 2: Changes in momentum happen every time. A fast-moving car when suddenly stopped might have damaging effects not only to the vehicle itself but also to the person riding it. Various devices have been installed in vehicles to ensure the safety of the passengers. Can you think of some safety devices installed on vehicles (public/private)? Name at least five (5) of them.

Learning Goal: To learn to apply the method of joints to a truss in a systematic way and thereby find the loading in each member of the truss. In analyzing or designing trusses, it is necessary to determine the force in each member of the truss. One way to do this is the method of joints. The method of joints is based on the fact that if the entire truss is in equilibrium, each joint in the truss must also be in equilibrium (i.e., the free-body diagram of each joint must be balanced). Consider the truss shown in the diagram. The applied forces are P₁ = 630 lb and P₂ = 410 lb and the distance is d = 8.50 ft. Figure 1) 1 of 1 A E 30° d B D P₁ 30° d C

Having found FcD in the analysis of joint C, there are now only two unknown forces acting on joint D. Determine the two unknown forces on joint D. Express your answers in newtons to three significant figures. Enter negative value in the case of compression and positive value in the case of tension. Enter your answers separated by a comma.

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Learning Goal: A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm, web thickness tw = 8 mm , and flange thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile To calculate the normal and shear stresses at a point on the cross section of a column. normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN, and bending moment M = 4.8 kN • m as shown (Figure 2). The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic. Part A - Normal stress Calculate the normal stress at the point due to the internal normal force on the section. Express your answer with appropriate units to three significant figures. > View…

Cathy Gwynn for a class project is analyzing a "Quick Shop" grocery store. The store emphasizes quick service, a limited assortment of grocery items, and higher prices. Cathy wants to see if the store hours (currently 0600 to 0100) can be changed to make the store more profitable. Time Period Daily Sales in the Time Period 0600-0700 $40 0700-0800 70 0800-0900 120 0900-1200 400 1200-1500 450 1500-1800 500 1800-2000 600 2000-2200 200 2200-2300 50 2300-2400 85 2400-0100 40 The cost ofthe groceries sold averages 65% of sales. The incremental cost to keep the store open, including the clerk's wage and other operating costs, is S23 per hour. To maximize profit, when should the store be opened, and when should it be closed?

Task 1 You are employed as a mechanical engineer within an unnamed research center, specializing in the development of innovative air conditioning systems. Your division is tasked with providing computer-based modeling and design solutions using computational fluid dynamics through ANSYS software. Your primary responsibilities involve the analysis of horizontal channel dynamics to meet specific criteria. Under the guidance of your immediate supervisor, you have been assigned unique responsibilities within an ongoing project. As a member of the research team, your role includes constructing an appropriate model and executing a sequence of simulation iterations to explore and enhance channel performance. Figure 1 provides a visualization of the horizontal channel under consideration. Consider 2D, incompressible, steady flow in a horizontal channel at a Reynolds number of 150. The schematic below illustrates the channel flow, not drawn to scale. For simplicity, neglect gravity. The…

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Analysis and Interpretation of vertical Ground Reaction Forces. In this study, a volunteer was asked to walk on two force platforms under two different conditions. Condition 1- Normal Walk (NW), condition 2 - walking over an obstacle (ObsW). The right limb was the one to step on platform 1 in both conditions. The force platforms were used to measure the vertical ground reaction forces on the right limb. Data was collected on Vicon (Nexus) software and the attached graphs ( mean NW/ObsW, Mean (+-)1SD NW/ObsW) were created. Analyse ,Interpret the graphs and make a conclusion of the result attached.

Analysis and Interpretation of vertical Ground Reaction Forces. In this study, a volunteer was asked to walk on two force platforms under two different conditions. Condition 1- Normal Walk (NW), condition 2 - walking over an obstacle (OW). The right limb was the one to step on platform 1 in both conditions. The force platforms were used to measure the vertical ground reaction forces on the right limb. Data was collected on Vicon (Nexus) software and the attached graphs ( mean NW/OW, Mean (+-)1SD NW/OW) were created. Analyse and Interpret the graphs attached.

Let's design a proper classroom on campus for the ENG M 558: a room that has an area of 1,125 sq ft with 12 ft ceilings is to be assigned to 45 students. 1. What is a rule of thumb in designing fresh air per person per hour? 2. How much ventilation (in cu. ft per min) would be recommended to 200 cu. ft 250 cu. ft 300 cu. ft 350 cu. ft 400 cu. ft ◆ Intensity of odors in our classroom?

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Show work Part 1 website: https://ophysics.com/r5.html PArt 2 website: https://ophysics.com/r3.html

Task 1 It is required to design a tennis ball for recreational use by settlers on Mars. The primary requirement is that the balls must pass the same 'bounce test' specified for tennis balls used on Earth. This requires that a ball dropped from a height of 254 cm onto concrete will bounce back to a height of 140 cm. The games will be played in a sealed gymnasium pressurised with standard air to 70 kPa. The balls are to have the same mass and diameter as those used on Earth, with modifications to account for the reduced gravity on Mars and the lower air pressure in the habitat. The height a ball recovers after a single bounce is believed to depend on the following parameters: Earth Drop height, L (m) Gravitational acceleration, g (m/s²) Internal pressure of ball above atmospheric (kPa) Diameter, D (m) Mass of ball, M (kg) Target bounce height, h (m) 2.54 9.8 83 0.067 0.057 0.14 b) What pressure should the balls be filled to? Mars 2.54 3.71 ? 0.067 0.057 0.14 0 ms 2 ms 4 ms 3 ms a)…

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Learning outcome Fundamental.8 evaluation Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: the respective velocity and acceleration and the frame of reference considered . the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle 0 =53 to a 889-kg cart. The kinetic friction coefficient on wheels is 0. P . B 0.4 m 0.3 m Go B -0.2 m 0.3 m 0.08 m The acceleration of the cart is 1.6 m.s^². 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B?

Problem 3 Learning Outcome #2 A closed tank is filled with water and mercury, and the air pressure above the water surface is 180 kPa (Not the standard air pressure). At 20-C, the gauge A reads an absolute pressure of 350 kPa. The density of water is 998kg/m², and mercury has a density of 13568kg/m³. All fluids are in thermodynamic equilibrium. (n) What is the height h of the water in cm? (b) What should the gauge B read in kPa in absolute pressure? 80 cm 2 Air (20°C, 180 kPa) Mercury Water

Learning Goal: To calculate the normal and shear stresses at a point on the cross section of a column. A column with a wide-flange section has a flange width b = 250 mm , height k = 250 mm , web thickness to = 9 mm , and flange thickness t; = 14 mm (Figure 1). Calculate the stresses at a point 65 mm above the neutral axis if the section supports a tensile normal force N = 2 kN at the centroid, shear force V = 5.8 kN , and bending moment M = 3 kN - m as shown (Figure 2). The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic. Part A- Normal stress Calculate the normal stress at the point due to the internal normal force on the section. Express your answer with appropriate units to three significant figures. • View…