beam length = 1.00 m beam mass = 5.10 kg

Size: px

Start display at page:

Download "beam length = 1.00 m beam mass = 5.10 kg"

Kristian Armstrong
5 years ago
Views:

ENGR 160 Exam 2 Spring 09 ENGR. PROB.: /50 PROGRAMMING / 50 TOTAL: /100 DIRECTIONS: This exam is CLOSED BOOK. The reference sheet plus one extra page of notes (both sides of one 8.

1 ENGR 160 Exam 2 Spring 09 ENGR. PROB.: /50 PROGRAMMING / 50 TOTAL: /100 DIRECTIONS: This exam is CLOSED BOOK. The reference sheet plus one extra page of notes (both sides of one 8.5 by 11 paper) may be consulted during the exam. Engineering Problems (Express all answers in the proper number of significant digits) 1. (25%) A beam with a mass of 5.10 kg is secured to a ceiling with a hinge and cable as shown. A 75.0 N force is applied to the beam in a horizontal direction as shown. a. Draw a complete free-body diagram. b. Write the three equilibrium equations. c. Solve for the tension in the cable and the reaction at the hinge (expressed as magnitude and direction of the force) m beam length = 1.00 m beam mass = 5.10 kg 75.0 N ENGR 160 Exam 2 Spring 09

A cable, which is being used to help support the pole, is connected to the pole at point B and to the building at point C. The cable CB will break at 1000.

2 2. (15%) A sign is being designed to hang on the end of a horizontal pole. The pole has a weight of 20.0 lbf and is 13.0 ft long. As shown below, the pole is connected to the building at point A by a hinge. A cable, which is being used to help support the pole, is connected to the pole at point B and to the building at point C. The cable CB will break at lb f (pounds force). C 5.00 ft A 6.00 ft B Cyclone Cafe a) Draw a complete free body diagram of the pole. b) Solve for the weight (in lb f) of the sign if the tension in the cable CB is lb f. You should only have to write ONE equilibrium equation to solve this problem. ENGR 160 Exam 2 Spring 09

3 3. (10%) Two temperature probes are tested, the readings are shown below. Probe #1, F Probe #2, F a) Determine the mean of Probe #1. b) Determine the median of Probe #1. c) The results from Probe #2 yield a mean of 95 F and a median of 92.5 F. In the data for Probe 2 the last data value is missing. Determine the missing value. d) If a probe has a standard deviation of 8 F, what is the variance of the probe?

4 ENGR 160 Exam 2 Spring 09 Programming 4. (13%) Write ONLY a Function subprogram that receives two real, one-dimensional arrays (representing two vectors) and an integer value, n (representing the number of elements in each array). The Function will compute the dot product of these two arrays. The following equation describes the dot product of two vectors: n Dotproduct Vector1 ( i) Vector2( i) i 1 For example if n = 3 and the first array contains these three numbers: 1.0, 5.0, 6.5 and the second array contains these three numbers: 2.3, 6.1, 3.2, the dot product of these vectors would be: (1.0)(2.3) + (5.0)(6.1) + (6.5)(3.2) = 53.6 The computed dot product value will be returned to the main program.

5 ENGR 160 Exam 2 Spring (15%) Write ONLY a Subroutine subprogram which will receive one real one dimensional array and will determine the sum of positive values in the array and the sum of negative values in the array. The subroutine will then return these sums to the main program. The subprogram will also receive an integer value which is the count of values in the array. The Call statement used in the main program to access this subroutine is given below. Call PosNeg(x(), n, sumpos, sumneg). ENGR 160 Exam 2 Spring 09

6 6. (22%) Write a program which will read a set of measured diameters of inspected parts from a file named, Measure.txt. The first line of the file has an integer number, N, which represents a count of the measured parts. Each of the succeeding N lines has one real number, which represents the measurement of the diameter of a part being inspected (N will never be more than 200). If the part s diameter is within the range ± mm (including the values at each end of the range), the part passes inspection. Write a complete program which will: a. read the value of N from the input file, b. read from the input file the N diameters and store them in a one-dimensional array, c. calculate the percentage of parts that have passed inspection d. output to a file the percentage determined in part c, with some descriptive text (e.g. The percentage of parts that passed inspection = 45.0% ) e. output the array of measured values as a column of numbers to the output file. On a line above the column of diameters, output a line of descriptive text to label the values (e.g. Diameters, mm )

ENGR220 Dynamics. Final Exam

ENGR220 Dynamics. Final Exam Spring Semester 2006 1 ENGR220 Dynamics Final Exam Instructions: 110 minutes to complete. Closed-book, 4 exam reference sheets allowed. Turn computations and exam in to instructor at the end of the exam