Midterm-Alternate.pdf - Syllabus Chapters 12 to 14 McMaster University Time 2.5 hours for this exam Department of Mechanical Engineering Total Marks 100

Midterm-Alternate.pdf - Syllabus Chapters 12 to 14 McMaster...

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McMaster University Department of Mechanical Engineering MechEng 2Q04 Instructor: Sumanth Shankar Time: 2.5 hours Total Marks: 100 30% of Final Grade All questions are compulsory Midterm Examination – November 04, 2016 Student Name: _______________________________________ Student ID: ______________________ Problem 1. (20 marks) The force of the motor M on the cable is shown in the graph. Determine the velocity of the 400-kg crate A when t = 2 s. Problem 2 (20 marks) The block has a weight of 80 lb and rests on the floor for which μ k = 0.4. If the motor draws in the cable at a constant rate of 6 ft/s, determine the output of the motor at the instant θ = 30 °. Neglect the mass of the cable and pulleys. Problem 3. (20 marks) The log has a mass of 500 kg and rests on the ground for which the coefficients of static and kinetic friction are μs = 0.5 and μk = 0.4, 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 = 5 s. Originally the tension in the cable is zero.
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