Engineering Mechanics, Quizzes of Engineering

Download Engineering Mechanics and more Quizzes Engineering in PDF only on Docsity! ENGR 3311: DYNAMICS SPRING 2019 NAME: Exam 02: Chapters 14 and 15 INSTRUCTIONS • Solve each of the following problems to the best of your ability. • Read and follow the directions carefully. • Solve using the method required by the problem statement. • Show all your work. Work as neatly as you can. If you need additional paper, please be sure to staple all pages in the proper order. • It is permissible to use your calculator or an online solver (like Wolframα) to perform derivatives or integrals. If you do, state this explicitly. • Express your answer as directed by the problem statement, using three significant digits. Include the appropriate units. • You must submit your exam paper no later than Wednesday, February 20. You should submit the paper to me directly, or, if I am not in my office, please turn it in to Ms. Harper in the department office (LSC 171), no later than 12:00PM. You may not slide the paper under my door. Late papers will not be accepted. Your work will be scored according to the following point structure: 
 Problem 01: /10 Problem 02: /20 Problem 03: /15 Problem 04: /15 Problem 05: /10
 Problem 06: /15 Problem 07: /20 Problem 08: /15 Problem 09: /15 Problem 10: /15
 ENGR 3311: DYNAMICS SPRING 2019 Problem 01 A spring (k = 500N/m) is placed between the wall and the block 
 (m = 10kg). The block is subjected to an applied force F=500N, and the coef>icient of kinetic friction between the block and the >loor is µk = 0.20. If the spring is uncompressed and the block is at rest when s=0, determine its velocity when s=0.5m. 
 EXAM 02 PAGE !/!2 11 fk Fs F N ENGR 3311: DYNAMICS SPRING 2019 Problem 04 The package (m = 4kg) leaves the conveyor belt at A with a speed 
 vA = 0.75m/s and slides down the smooth ramp. Determine the required speed of the conveyor belt at B so that the package can be delivered without slipping on the belt. Also, >ind the normal reaction the curved portion of the ramp exerts on the package at B if ρB = 2m. 
 EXAM 02 PAGE !/!5 11 vA = 0.75m/s = man mg N ENGR 3311: DYNAMICS SPRING 2019 Problem 05 The cylinder has a mass m = 20kg and is released from rest when h = 0. Determine its speed when h = 3m. Each spring has a stiffness k = 40N/m and an unstretched length lo = 1.5m. 
 EXAM 02 PAGE !/!6 11 ENGR 3311: DYNAMICS SPRING 2019 Problem 06 The log has a mass m = 500kg and rests on the ground for which the coef>icients of static and kinetic friction are µs = 0.45 and µk = 0.35, respectively. The winch delivers a horizontal towing force T to its cable at A, which varies as shown in the graph. Determine the speed of the log when t = 5s. Originally the tension in the cable is zero. Hint: First determine the force needed to begin moving the log. 
 EXAM 02 PAGE !/!7 11 T = 100t2 mg N f 2T 4 1600 ENGR 3311: DYNAMICS SPRING 2019 Problem 09 The stone A used in the sport of curling slides over the ice track and strikes another stone B as shown. Initially A has a velocity (vA)1 = 8 ft/s and B is at rest. If each stone is smooth and the coef>icient of restitution between the stones is e = 0.75, determine their speeds just after collision. Neglect friction. 
 EXAM 02 PAGE ! /!10 11 ENGR 3311: DYNAMICS SPRING 2019 Problem 10 Each ball has a negligible size and a mass m = 5kg and is attached to the end of a rod whose mass may be neglected. If the rod is subjected to a torque 
 M = (t2 + 4)N·m, where t is in seconds, determine the speed of each ball 
 when t = 4s. Each ball has an initial speed v = 2m/s when t = 0. EXAM 02 PAGE ! /!11 11 M = (t2 + 4)N·m 0.25 m