Problem-5. A rectangular plate submerged in water is 5 m by 4 m, the 5-m side being horizontal and the4-m side being vertical. Determine the magnitude of the force on one side of the plate and the depth to its center of pressure if the top edge is (a) at the water surface; (b) 1.0 m below the water surface; (c)100 m below the water surface.

Problem-3. A rectangular plate 5 ft by 4 ft is at an angle of 30° with the horizontal, and the 5-ft side is horizontal. Find the magnitude of the force on one side of the plate and the depth of its center of pressure when the top edge is (a) at the water surface, (b) 1.0 ft below the water surface.

Problem-6. A rectangular area is 5 m by 6 m, with the 5 m side horizontal. It is placed with its centroid 4m below a water surface and rotated about horizontal axis in the plane area and through its centroid.Find the magnitude of the force on one side and the distance between the center of pressure and the centroid of the plane when the angle with horizontal, 0 = 90°, 60°, 30°, and 0°.

Problem-7. The hemispherical body shown in the Figure (r 2 ft) projects into a tank. Find the horizontal and vertical forces acting on the hemispherical projections for the following cases: (a) the tank is full of water with the free surface 5 ft above A;(b) the tank contains CCI4 (s = 1.59) to the level of A overlain with water having its free surface 5 ft above A; (c) the tank is closed and contains only gas at a pressure of6 psi; (d) the tank is closed and contains water to the level of A overlain with gas at a pressure of 2 psi. Assume the gas weighs 0.075 lb/ft3.

Problem-4. The gate MN in the Figure rotates about an axis through N. If a= 3.3 ft, b = 1.3 ft, d = 2 ft, and the width perpendicular to the plane of the figure is 3.0 ft, what torque applied to the shaft through N is required to hold the gate closed?

1. From well log data you have found a potential limestone reservoir of 23 m of gross thickness. The average of RHOB density in the zone is 2300 Kg/m3, the true resistivity from DLL after environmental corrections is 1.5 ohm-m, water formation resistivity was found from SP measurements to be 0.025 ohm-m. The lecture of the sonic log is almost a constant value of 60 us/ft for the compressional wave, and 90 us/ft for the shear wave. From SCAL in core plugs, it was found that a=1.1, m=1.9, n=2.1. Calculate the following: (20 points) (a) Average (total) porosity in this reservoir (in fraction, two decimals) = (b) Average micro-porosity in this reservoir (in fraction, two decimals) (c) Average Sw (in fraction, two decimals) = (d) Average So (in fraction, two decimals) = (e) Average Bulk Modulus (in GPa, one decimal) = (f) Average Shear Modulus (in GPa, one decimal)= (g) Average Poisson ratio (one decimal)= (h) Is this a hard or soft rock? Why? Compare with what? (i) Average Hydrocarbon Pore Thickness (in m) G) Is this a pay zone if the cutoff of porosity and water saturation are 0.2 and 0.4 respectively?(yes or no)

5. Using Figure 23.3, answer the following questions: (12 points) (a) What does Rwa mean? (b) What does Rxo mean? (c) What does Rt mean? (d) According to the discussion of this figure in the textbook, what is the best use of Rxo/Rt? (e) What is the figure in the textbook showing the Hingle plot? (f) What does this Hingle plot used for?

3. Using Figure 7.21 of your textbook, answer the following questions: (8 points) a. What are the zones A, B, C, and D indicating? b. The resistivity of the mud filtrated is higher, lower or equal to the resistivity of the formation? c. Would you use focusing electrode tools in this well? (yes or no) d. Why?

Problem-1. A plane surface is circular with a diameter of 2 m. If it is vertical and the top edge is 0.5 m below the water surface, find the magnitude of the force on one side and the depth to the center of pressure.

ARCH 101 OL Student Name: Student ID: Assignment 1 Intersession 2023 Data, Stratigraphy, and Chronology Interpretation (Total 20 Points) Archaeological data are provided, including a stratigraphic profile, radiocarbon dates, and a list of the faunal remains and artifacts found within two of the numbered Features in the profile. Note that only scientific names are provided for most of the faunal remains, meaning you will need to look these up to find the common names and learn about the habitats of each important resource. Using these data, you are required to respond to several questions relating to chronology, site use and activity areas, social organization, and subsistence. Responses must be submitted on the response form provided; please be certain to list your name and student ID number on the form and as part of the file name when submitting. Responses should be made using bullet points whenever possible. For longer responses, the maximum word count for each question is indicated on the response form; it is not necessary to repeat the question in your response. Al writing tools are not acceptable for this assignment. 1 ARCH 101 OL Assignment 1 Intersession 2023 Chronology: Determine the length of occupation (4 points total) Several radiocarbon (14C) dates were obtained for this site, focusing on the uppermost and lowermost deposits within the stratigraphic sequence. Note: the radiocarbon (¹ªC) dates may not come from the same Features that you are asked to analyze or describe in other parts of this assignment, so look at all of the dates provided. Using these dates (error factors have been removed for clarity - consider these calibrated dates), answer the following questions: 1. When was the site first occupied? The radiocarbon date value is all that is required. (10 words) (1 point) 2. When does the site appear to have been permanently abandoned? The radiocarbon date value is all that is required. (10 words) (1 point) 2 ARCH 101 OL Assignment 1 3. Does the site occupation appear to be more-or-less continuous through time, or is there evidence for a break in occupation? (20 words) (1 point) 4. Why do you feel this is the case? (100 words) (1 point) Intersession 2023 3 ARCH 101 OL Feature 2 (F2) (200 words) Assignment 1 Site Use and Activity Areas (6 points total) 5. Describe the activity or activities associated with the following Features, discussing each Feature individually. What type(s) of activities do you think were occurring, based upon the materials recovered? (2 Features, 3 points each, 6 points total; bullet points are preferred). Feature 4/5 (F4/5) (200 words) Intersession 2023 4 ARCH 101 OL Assignment 1 Intersession 2023 Social Organization (5 points total) 6. Do the patterns in feature location suggest anything about the level of social organization that was present at this site? Would this be classified as a band, segmentary society, chiefdom, or state level society? Choose and list any one of these society types. (10 words) (2 points) 7. Why do feel that this is the case? (100 words) (3 points, bullet points preferred). 5