PHYSICS 170 MECHANICS 1: March Exam: 6:00 PM, Friday, March 19, 2021 Please ensure that your name and student number are written clearly on the work that you submit. MARKS This exam counts for a total of 25 marks towards your Final Grade for the course. The exam consists of 2 questions, each worth 20 marks, for a total of 40 marks. INSTRUCTIONS Answer the questions below on fresh sheets of paper (you may also use a tablet), then upload a PDF (only!) version of your work to Canvas. You have 80 minutes to compete the test, plus 10 minutes extra for submission. A Zoom session will be active during the exam period for you to use should you encounter difficulties, have questions etc. Please use it and NOT Piazza or email to your instructors. NUMERICAL ANSWERS You must write numerical answers correctly to three significant figures, with correct units and using engineering notation with an appropriate SI prefix (as necessary) to get full marks for your numerical answers. No marks are awarded for correctly solving incorrect equations. RESOURCES YOU MAY CONSULT and/or USE · Your text (hardcopy and/or digital versions). . Your notes for the course. · Any course notes posted to the course Canvas site by the instructors. · Calculational aids o Graphing and/or scientific calculator o Calculator emulator on your computer o Wolfram Alpha or MATLAB online o MATLAB installed on your computer o Other web-based calculators or computer algebra systems RESOURCES YOU MAY NOT CONSULT and/or USE · Any resource, online or hardcopy (including another person), that provides a partial or complete solution to either of the problems in this test · Any website (including search engines such as google.ca) other than those implied in the above list of resources that you may consult and/or use (note that all of the course Canvas site is allowed).
PHYSICS 170 MECHANICS 1: March Exam: 6:00 PM, Friday, March 19, 2021 QUESTION 1 (20 marks) The diagram below shows a rigid body ABED that is part of a hyperloop system. ABED consists of a disk-shaped plate with center at E, and a rod AB. These two components of ABED are rigidly attached to one another. ABED is supported in equilibrium by cable CD, a smooth journal bearing at B and a smooth thrust bearing at A. Note that the bearings at A and B are different types. The bearings are in proper alignment and only exert force reactions on the rod. The mass of the plate is 300 kg, and the corresponding weight acts at E. The mass of the rod can be neglected. Note that ABED is not in contact with the cylinder. a) Draw a large, clear free-body diagram for ABED. (5 marks) b) Determine Cartesian component force equations of equilibrium for ABED. (5 marks) c) Determine a vector moment equation of equilibrium in determinant form for ABED. Take moments about B. (4 marks) d) Determine Cartesian component moment equations of equilibrium for ABED. (3 marks) e)