PHYSICS 170 MECHANICS 1: Final Exam: 3:30 PM, Monday, April 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 45 marks towards your Final Grade for the course. The exam consists of 4 questions, each worth 15 marks, for a total of 60 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 2 1/2 hours to complete the test, plus 15 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: Final Exam: 3:30 PM, Monday, April 19, 2021 QUESTION 1 (15 marks) The diagram below shows a rigid body ABC held in equilibrium by a ball-and-socket joint at A and three cables: BD, BE and CD. A 1.80 kN force is applied at F. The mass of ABC can be neglected. a) Draw a large, clear free-body diagram for ABC. (4 marks) b) Determine Cartesian component force equations of equilibrium for ABC. (4 marks) c) Determine a vector moment equation of equilibrium in determinant form for ABC. Take moments about B. (4 marks) d) Determine Cartesian component moment equations of equilibrium for ABC. (3 marks) IMPORTANT: 1. Do not solve the equations you obtain. 2. Your answers to b), c) and d) must contain no more than 6 unknowns in total. Z 2.00 m D 2.00 m 1.00 m A E F C x 1.50 m B 1.00 m 1.00 m 1.80 kN y
PHYSICS 170 MECHANICS 1: Final Exam: 3:30 PM, Monday, April 19, 2021 QUESTION 2 (15 Marks) In the figure below the 100 kg block, B, slides up along an inclined plane