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PHYS 221 Lab 1 - Acceleration Due to Gravity Please work in groups of three. Please submit one lab report per person via Canvas. In this laboratory we will measure the acceleration due to gravity by studying the motion of a cart accelerating down an inclined plane. Background Suppose we start with a level track and then tip it, as shown in Figure 1 below. Let L be the distance between two fixed points on a ramp, selected to be as far apart as possible, on the track. Let h be the difference in the vertical height above the table of these two points. Figure 1 - Schematic of a cart on an inclined plane. The magnitude of the acceleration of the cart down the ramp can be considered a component of the gravitational acceleration: a = g sinθ Then we have an incline of angle given by Equation 1: . (1) The acceleration of gravity, g, acts vertically downward, so the component of parallel to the incline – which is the acceleration of our cart – is given by Equation 2: (2) We see in Equation 2 that a graph of acceleration a as a function of sinθ should be linear with slope g. We will take data to plot such a graph and from its slope determine the value of g. Setup Gather the following materials: · 2 m ramp · Meter stick · Lab Stand · Ramp clamp · Plastic Box with ULI, AC Adapter, and USB Cable · Motion Sensor · Magnetic Bumper 1. Connect the ULI to the computer via the USB cable and connect the AC adapter. Open Logger Pro 3.8.7. 2. Attach the ramp clamp to the lab stand and attach one end of the ramp. 3. Elevate one end of the track slightly using the vertical rod. Choose a value of h so that the angle of inclination stays less than about 8 degrees. (Use Equation 1 to verify). · You can choose any two points along the track to serve as your L, but they must be the same two points for all your runs! · Measure h by measuring the difference in the two heights of your two points. 4. Connect a motion sensor to the ULI and mount it on the elevated end of the track. The low end of the track should have a magnetic bumper installed on it (magnets face upward along the track). Procedure 1. Choose at least five values of height h, to vary over the range 1-8 degrees. 2. Record each value of h chosen, and then obtain a graph of velocity versus time for that value. 3. You have two options for collecting velocity data from the cart: · Release from the elevated end of the track and let it accelerate to the lower end. · Push the cart from the lower end of the track up the incline. Record data during its entire motion back to its starting point. This will take slightly more finesse, but the data will be better. The motion sensor will not record accurate data for a cart closer than 40 cm (the limit of its near range). Do not let the cart collide with the end of the track! 4. Determine the acceleration for the cart by using the Linear Fit tool and highlighting the appropriate region of the velocity graph. Record the .
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write the code for Part 1 Context-Free Grammars Create context-free grammars for these languages. The grammar must be specified as a text file in the format below. 1. (Filename: cfg1.txt) Create a context-free grammar for the language that accepts all odd length strings over the alphabet T = {a, b} that begin with a and end with b. 2. (Filename: cfg2.txt) Create a context-free grammar for the alphabet T = {x, y, z} that is equivalent to the regular expression: ^(xy?)*(zz|xyz)+$ Grammar File Format The grammar file format must be specified using the notation in class. Some rules: Nonterminals can either be a single capital letter or a longer string (with no spaces). If you use longer strings, you must separate the elements on the right-hand side of the production with spaces. The terminal alphabet T is provided with each problem. Anything that is not a terminal is assumed to be a nonterminal. The assignment requires the grammar to be a context-free grammar. This means that the left-hand side of each production only consists of a single nonterminal. You may use the shorthand notation using |. The start symbol must either be S or Start. You should use E or Empty to represent the empty string. Example using single letter nonterminals with T = {a, b}: S -> aS S -> X X -> bX X -> E Example using longer string nonterminals and shorthand notation with T = { (, ), +, *, 0, 1}: Start -> BoolExpr BoolExpr -> BoolExpr BoolOp BoolExpr | ( BoolExpr ) | BoolVal BoolOp -> + | * BoolVal -> 0 | 1 Unfortunately, there is no Python simulator for testing your grammars like the DFAs in last assignments and the Turing machines in Part 2. Your grammars will be graded manually. using # Turing machine simulator # Original Author: Matt Chu (mwc2110@columbia.edu) import sys from optparse import OptionParser COMMENT = "#" BLANK = "B" LEFT = "L" RIGHT = "R" # Parses command line def parse_command_line(): parser = OptionParser() parser.add_option("-d", "--display_mode", dest = "display_mode", help = "Display mode") parser.add_option("-t", "--tm_file", dest = "machine_file", help = "Turing machine file (.tur)") parser.add_option("-s", "--string", dest = "tape_string", help = "Initial string") options, args = parser.parse_args() if options.machine_file == None: options.machine_file = input("Enter the name of the machine file: ") if options.tape_string == None: options.tape_string = input("Enter the starting string: ") if options.display_mode == None: valid = False while not valid: print("Select display mode:") print("1. Step through the program (stops after each step)") print("2. Display each step (does not stop until the machine halts)") print("3. Display the final state (does not stop until the machine halts)") choice = int(input("Your choice: ")) if choice == 1: options.display_mode = "step" valid = True elif choice == 2: options.display_mode = "show" valid = True elif choice == 3: options.display_mode = "final" valid = True else: print("Invalid choice") if not options.di.
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Memorandum Design4Practice (D4P) Program To: EGR 186 Students From: Dr. Ostroha Date: March 23, 2015 Re: Using Excel – Airplane Cargo Drop This assignment is due at the beginning of next class. Excel is available in many computer labs across campus. Using formulas, absolute addresses, and x-y plot: Supplies are dropped from an airplane to land at a certain point. The velocity of the package at release from the airplane is the speed of the airplane, v0x=200ft/s. The acceleration of the package due to gravity is ay = -32.2 ft/s2. The displacement in the y direction can be found using the following equation: y - y0 = v0yt + ½ayt2. The final position of the package (y) is on the ground, and y0 represents the height of the plane when the package is dropped. The initial velocity in the y direction (v0y) is zero. Therefore the equation becomes: y = y0 + ½ayt2. The distance the package travels in the x direction can be found from the equation: x - x0 = v0xt + ½axt2. The final position of the package (x) is measured from the initial position (x0). If x0 is taken as zero, and if the plane is traveling at a constant speed (ax is zero), then the equation becomes: x = v0xt. Solve this problem using Excel (it may help to print this page and cross off the directions as you complete them). 1. Create a table for the initial data: i. In cell B2 put the label “Plane height:” ii. In cell C2 put the initial height of the plane in feet (ft): 300 iii. In cell B3 put the label “Acceleration (g):” iv. In cell C3 put the acceleration of gravity in ft/s^2: -32.2 v. In cell B4 put the label “Velocity:” vi. In cell C4 put the velocity in ft/s: 200 vii. In cells D2, D3, and D4, place the appropriate units 2. Create a table for the data and calculations: i. In cells B6, C6, and D6 respectively, put the labels “t”, “x”, and “y”. ii. In cell B7, enter the initial time: 0 iii. Increment the time in ½-second intervals in column B, from B8 to B16. iv. Center all of the labels and data in columns B, C, and D. v. Enter the formulas to calculate 1) x in cell C7 and 2) y in cell D7. vi. Copy the formula from C7 to C8 through C16 and from D7 to D8 through D16. vii. Format the numbers in the y column to one decimal point. 3. Create separate graphs of 1) “x vs. t” and of 2) “y vs. t”. Using the “x vs. t” graph as an example: i. Select the x data (C7:C16), and then select the “line with markers” plot type. ii. To add the time on the horizontal axis, right-click on the chart and chose “Select Data…”. In the “Select Data Source” dialog box, chose “edit” for the Horizontal (Category). In the next dialog box, simply select (drag the mouse over) the time data (B7:B16). iii. Add major vertical gridlines, chart titles, and axis labels using the buttons under the “Layout” tab. Include the correct units in the axis titles and rotate the vertical axis title to the horizontal. iv. Remove the “series” labels from these two charts (Layout/legend). v. Repeat these steps for the “y vs ...
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PHYS 221 Lab 1 - Acceleration Due to Gravity Please work in groups of three. Please submit one lab report per person via Canvas. In this laboratory we will measure the acceleration due to gravity by studying the motion of a cart accelerating down an inclined plane. Background Suppose we start with a level track and then tip it, as shown in Figure 1 below. Let L be the distance between two fixed points on a ramp, selected to be as far apart as possible, on the track. Let h be the difference in the vertical height above the table of these two points. Figure 1 - Schematic of a cart on an inclined plane. The magnitude of the acceleration of the cart down the ramp can be considered a component of the gravitational acceleration: a = g sinθ Then we have an incline of angle given by Equation 1: . (1) The acceleration of gravity, g, acts vertically downward, so the component of parallel to the incline – which is the acceleration of our cart – is given by Equation 2: (2) We see in Equation 2 that a graph of acceleration a as a function of sinθ should be linear with slope g. We will take data to plot such a graph and from its slope determine the value of g. Setup Gather the following materials: · 2 m ramp · Meter stick · Lab Stand · Ramp clamp · Plastic Box with ULI, AC Adapter, and USB Cable · Motion Sensor · Magnetic Bumper 1. Connect the ULI to the computer via the USB cable and connect the AC adapter. Open Logger Pro 3.8.7. 2. Attach the ramp clamp to the lab stand and attach one end of the ramp. 3. Elevate one end of the track slightly using the vertical rod. Choose a value of h so that the angle of inclination stays less than about 8 degrees. (Use Equation 1 to verify). · You can choose any two points along the track to serve as your L, but they must be the same two points for all your runs! · Measure h by measuring the difference in the two heights of your two points. 4. Connect a motion sensor to the ULI and mount it on the elevated end of the track. The low end of the track should have a magnetic bumper installed on it (magnets face upward along the track). Procedure 1. Choose at least five values of height h, to vary over the range 1-8 degrees. 2. Record each value of h chosen, and then obtain a graph of velocity versus time for that value. 3. You have two options for collecting velocity data from the cart: · Release from the elevated end of the track and let it accelerate to the lower end. · Push the cart from the lower end of the track up the incline. Record data during its entire motion back to its starting point. This will take slightly more finesse, but the data will be better. The motion sensor will not record accurate data for a cart closer than 40 cm (the limit of its near range). Do not let the cart collide with the end of the track! 4. Determine the acceleration for the cart by using the Linear Fit tool and highlighting the appropriate region of the velocity graph. Record the .
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write the code for Part 1 Context-Free Grammars Create context-free grammars for these languages. The grammar must be specified as a text file in the format below. 1. (Filename: cfg1.txt) Create a context-free grammar for the language that accepts all odd length strings over the alphabet T = {a, b} that begin with a and end with b. 2. (Filename: cfg2.txt) Create a context-free grammar for the alphabet T = {x, y, z} that is equivalent to the regular expression: ^(xy?)*(zz|xyz)+$ Grammar File Format The grammar file format must be specified using the notation in class. Some rules: Nonterminals can either be a single capital letter or a longer string (with no spaces). If you use longer strings, you must separate the elements on the right-hand side of the production with spaces. The terminal alphabet T is provided with each problem. Anything that is not a terminal is assumed to be a nonterminal. The assignment requires the grammar to be a context-free grammar. This means that the left-hand side of each production only consists of a single nonterminal. You may use the shorthand notation using |. The start symbol must either be S or Start. You should use E or Empty to represent the empty string. Example using single letter nonterminals with T = {a, b}: S -> aS S -> X X -> bX X -> E Example using longer string nonterminals and shorthand notation with T = { (, ), +, *, 0, 1}: Start -> BoolExpr BoolExpr -> BoolExpr BoolOp BoolExpr | ( BoolExpr ) | BoolVal BoolOp -> + | * BoolVal -> 0 | 1 Unfortunately, there is no Python simulator for testing your grammars like the DFAs in last assignments and the Turing machines in Part 2. Your grammars will be graded manually. using # Turing machine simulator # Original Author: Matt Chu (mwc2110@columbia.edu) import sys from optparse import OptionParser COMMENT = "#" BLANK = "B" LEFT = "L" RIGHT = "R" # Parses command line def parse_command_line(): parser = OptionParser() parser.add_option("-d", "--display_mode", dest = "display_mode", help = "Display mode") parser.add_option("-t", "--tm_file", dest = "machine_file", help = "Turing machine file (.tur)") parser.add_option("-s", "--string", dest = "tape_string", help = "Initial string") options, args = parser.parse_args() if options.machine_file == None: options.machine_file = input("Enter the name of the machine file: ") if options.tape_string == None: options.tape_string = input("Enter the starting string: ") if options.display_mode == None: valid = False while not valid: print("Select display mode:") print("1. Step through the program (stops after each step)") print("2. Display each step (does not stop until the machine halts)") print("3. Display the final state (does not stop until the machine halts)") choice = int(input("Your choice: ")) if choice == 1: options.display_mode = "step" valid = True elif choice == 2: options.display_mode = "show" valid = True elif choice == 3: options.display_mode = "final" valid = True else: print("Invalid choice") if not options.di.
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#include <iostream> #include<ctime> using namespace std; void MinutesHours_conversion(); void Lottery_Draw(); void Draw_SquarePattern(); void TimeConversion(int); int main() { cout << "There are 4 functionality of this project.The following list will give the options to choose for the respective operations. Choose the correct option to proceed.Thank You..!!!"<<endl; int c=0;//variable to choose from the menu while(c!=4){ cout<<"\t \t"<<"OPERATIONS"<<endl; cout<<" \t"<<" 1.Time conversion"<<endl; cout<<"\t 2.Print a hollow square"<<endl; cout<<"\t 3.Lottery drawing"<<endl; cout<<"\t 4.Exit"; cin>>c; switch(c){ case 1:MinutesHours_conversion(); break; case 2:Draw_SquarePattern(); break; case 3:Lottery_Draw(); break; case 4:break; default: cout<<"Wrong choice..!!! Please select valid options from the menu.."; } } return 0; } void MinutesHours_conversion(){ int min; cout<<" Time Conversion "<<endl; cout << " Enter in minutes : "; cin >> min; TimeConversion(min); } void TimeConversion(int minute){ double j; double m=(double) minute; for(j=m;j<=m+20;j++){ cout<<j<<" minutes \t"; cout<<j/60<<"hours"; cout<<"\n"; } } void Draw_SquarePattern(){ int sz; cout<<" Pattern of Hollow Square "<<endl; cout<< "Enter size:"; cin>>sz; for(int v=1; v<=sz; v++) { if(v <= 1) for(int v=1; v<=sz; v++) { cout<< "#"; } else if(v<sz) { cout<< endl; for(int w=1; w<=sz; w++) { if(w==1 || w==sz) cout<< "#"; else cout<< " "; }} else { cout<< endl; for(int x=1; x<=sz; x++) { cout<<"#"; } } } } void Lottery_Draw(){ // Declare Variables int draw_ball,x,opt; int ball_drawdrawings(int&); // Title cout << ' ' << endl; cout << '\t' << "Lottery Draw!" << endl; cout << ' ' << endl; // Call to Function x=ball_drawdrawings(draw_ball); // End function } int ball_drawdrawings(int&) { int draw; double en(0), sevn(0), x_y_z(0); // The declaration of variable are done here double percen_en = 0.0, perc_7 = 0.0, perc_123 = 0.0; int maxps= 1; int count= 1; // Input From User cout << "Enter the number of lottery drawings that is to be simulated "; cin >> draw; cout << ' ' << endl; // Numbers randomized srand((int)time(NULL)); // To include <ctime> header while (count <= draw) { for (int k=1; k<=3; k++) { int rounding = rand()%10+1; cout << rounding << ' '; if (rounding == 7) { sevn++; } else { if ((rounding % 2) == 0) { en++; } else { if (rounding == 1 || rounding == 2 || rounding == 3) { x_y_z++; } } } } cout << ' ' << endl; ...
#include iostream#includectimeusing namespace std;void.docx
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Excel Project 1 – MS Excel (Summer 2019) Use the following project description to complete this activity (all the details are included in this document, in the 22 steps below). For a review of the rubric used in grading this exercise, click on the Assignments tab, then on the title "Excel Project 1." Click on Show Rubrics if the rubric is not already displayed. Summary Create a Microsoft Excel workbook with four worksheets that provides extensive use of Excel capabilities including charting, and written analysis and recommendations in support of a business enterprise. A large rental car company has two metropolitan locations, one at the airport and another centrally located in downtown. It has been operating since 2015 and each location summarizes its car rental revenue quarterly. Both locations rent four classes of cars: economy, premium, hybrid, SUV. Rental revenue is maintained separately for the four classes of rental vehicles. The data for this case resides in the file summer2019rentalcars.txt and can be downloaded by clicking on the Assignments tab, then on the data file name. It is a text file (with the file type .txt). Do not create your own data. You must use the data provided and only the data provided. Default Formatting. All labels, text, and numbers will be Arial 10, There will be $ and comma and decimal point variations for numeric data, but Arial 10 will be the default font and font size. Tutorials Note: Tutorials that address activities used in this project have been assigned in Week 1, 2 and 3. Step Requirement Comments 1 Open Excel and save a blank workbook with the following name: a. “Student’s LastFirstInitial Name Excel Project 1” Example: SmithJaneP Excel Project 1. b. Set Page Layout Orientation to Landscape. Use Print Preview to review how the first worksheet would print. 2 Change the name of the worksheet to Analysis by. 3 In the Analysis by worksheet: a. Beginning in Row 1, enter the four labels in column A (one label per row) in the following order: Name:, Class/Section:, Project:, Date Due: b. Place a blank row between each label. Please note the colon : after each label. c. Align the labels to the right side in the cells It may be necessary to adjust the column width so the four labels are clearly visible within Column A (not extending into Column B). Format for column A: • Arial 10 point • Normal font • Right-align all four labels in the cells Step Requirement Comments 4 In the Analysis by worksheet with all entries in column C: a. Enter the appropriate values for your Name (in cell C1), Class and Section, Project, Date Due across from the appropriate label in column A. b. Use the formatting in the Comments column (to the right). It may be necessary to adjust the column width so the four labels are clearly visible and are clearly visible within Column C (not.
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Memorandum Design4Practice (D4P) Program To: EGR 186 Students From: Dr. Ostroha Date: March 23, 2015 Re: Using Excel – Airplane Cargo Drop This assignment is due at the beginning of next class. Excel is available in many computer labs across campus. Using formulas, absolute addresses, and x-y plot: Supplies are dropped from an airplane to land at a certain point. The velocity of the package at release from the airplane is the speed of the airplane, v0x=200ft/s. The acceleration of the package due to gravity is ay = -32.2 ft/s2. The displacement in the y direction can be found using the following equation: y - y0 = v0yt + ½ayt2. The final position of the package (y) is on the ground, and y0 represents the height of the plane when the package is dropped. The initial velocity in the y direction (v0y) is zero. Therefore the equation becomes: y = y0 + ½ayt2. The distance the package travels in the x direction can be found from the equation: x - x0 = v0xt + ½axt2. The final position of the package (x) is measured from the initial position (x0). If x0 is taken as zero, and if the plane is traveling at a constant speed (ax is zero), then the equation becomes: x = v0xt. Solve this problem using Excel (it may help to print this page and cross off the directions as you complete them). 1. Create a table for the initial data: i. In cell B2 put the label “Plane height:” ii. In cell C2 put the initial height of the plane in feet (ft): 300 iii. In cell B3 put the label “Acceleration (g):” iv. In cell C3 put the acceleration of gravity in ft/s^2: -32.2 v. In cell B4 put the label “Velocity:” vi. In cell C4 put the velocity in ft/s: 200 vii. In cells D2, D3, and D4, place the appropriate units 2. Create a table for the data and calculations: i. In cells B6, C6, and D6 respectively, put the labels “t”, “x”, and “y”. ii. In cell B7, enter the initial time: 0 iii. Increment the time in ½-second intervals in column B, from B8 to B16. iv. Center all of the labels and data in columns B, C, and D. v. Enter the formulas to calculate 1) x in cell C7 and 2) y in cell D7. vi. Copy the formula from C7 to C8 through C16 and from D7 to D8 through D16. vii. Format the numbers in the y column to one decimal point. 3. Create separate graphs of 1) “x vs. t” and of 2) “y vs. t”. Using the “x vs. t” graph as an example: i. Select the x data (C7:C16), and then select the “line with markers” plot type. ii. To add the time on the horizontal axis, right-click on the chart and chose “Select Data…”. In the “Select Data Source” dialog box, chose “edit” for the Horizontal (Category). In the next dialog box, simply select (drag the mouse over) the time data (B7:B16). iii. Add major vertical gridlines, chart titles, and axis labels using the buttons under the “Layout” tab. Include the correct units in the axis titles and rotate the vertical axis title to the horizontal. iv. Remove the “series” labels from these two charts (Layout/legend). v. Repeat these steps for the “y vs ...
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The Pennsylvania State University Department of Civil Engineering CE 321: Highway Engineering Dr. Venky Shankar, Professor Jung Yeol Hong, TA. Preliminary Rural Collector Design, Connecting SR 20 and SR3 Spring 2015 Section [#] [Your Name Here] Due Date: April 24, 2015 1. Introduction Introduction and Project objectives 1. Alignments analysis · Analysis of geographical information, topography/surface · Criteria used in design (horizontal alignment, vertical alignment, cross section, etc.) · Horizontal and vertical alignment characteristics, impacts displayed by the footprint (effects on forest, roads, waterways, etc.) · Compare all alignment attributes: length, earthwork volumes, foot print area, environmental impacts, and houses displaced · Show the 5 separate costs and total cost for each alignment and discuss cost effects 1. Earthwork 1. Safety 1. Pavement 1. Right of Way Acquisition 1. Habitat 1. Total cost for each alignment Refer to the table Design Analysis Summary · Discuss the qualitative performance measures (traffic operation, safety, environment) Which alternative is predicted safer? Why? Is delay going to be an issue on either or both alternatives? Do these performance measures weigh on the final decision? 1. Conclusion As a result of the comparison, recommend the “best” alternative and describe the reasons Note: · Must use the Contour map and Existing Features from ANGEL in this semester (Spring 2015) –CAD drawing, and use this word file for the summary report · Use bold print section titles · Report must be written in third person (Do not use I) · Include page numbers (not necessary for appendices and drawings) · Refer to all tables or figures that are discussed in the text. There should not be a Table or Figure that is included that is not discussed and called out in the text. · Minimum 3 pages text · Please bind report (Cover, text, Appendix A, B, C, and 7 CAD drawings) Appendix A (Horizontal Curve Reports) The horizontal curve report generation function in Civil 3D does not work in this version. Instead of generating a report like you do for the Vertical Curves, copy the information from the “grid view” under “Edit Alignment Geometry.” · Select the alignment you want to generate a report for · Right click and select “Edit Alignment Geometry” · Click the “Alignment Grid View” icon as shown below · Right click in any cell and select “Copy All” · Paste table to a new Excel file · You can delete the following columns · Start Point · End Point · Center Point · Pass Through Point · Direction at Through Point1 · Direction at Through Point2 · Attainment Method · Curve Group Index · Curve Group Sub-Entity Index · Pi Point · Use the remaining table as your Horizontal Curve Report · Do this for East and West, make sure they are labeled and include them in this appendix Appendix B (Vertical Curve Reports) To generate Vertical Curve Reports: · G ...
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Barcamp Gent2008
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