Family Name First Name Student # PHYS 170 Final Exam December 19, 2022 Do not open this exam until told to do so. Turn off your cell phones during the exam. Have your UBC card ready for inspection. You may use 2 pages (both sides) of notes, and a calculator, including graphing/programmable. You do not need to turn in your notes pages. You may also use printed calculator instructions. No laptops, tablets, smartphones, or other wireless devices. No books. Write on this examination. Pencil is OK. If you use the backs of pages or extra pages, label which problem you are doing. No examination candidate shall be permitted to enter the examination room after the expiration of one-half hour from the scheduled starting time, or to leave during the first half hour. If there is a fire alarm, leave your exam face down on your desk, exit the building as a group, and don't discuss the examination. Examination candidates may not ask questions of the examiners or invigilators, except in cases of errors or ambiguities in examination questions, illegible or missing material, or the like. Examination candidates must not destroy or damage any examination material, must hand in all examination papers, and must not take any examination material from the examination room without permission of the examiner or invigilator. Examination candidates must conduct themselves honestly and in accordance with established rules for a given examination. Should dishonest behaviour be observed by the examiner(s) or invigilator(s), pleas of accident or forgetfulness shall not be received. Examination candidates suspected of any of the following, or any other similar practices, may be immediately dismissed from the examination by the examiner/invigilator, and may be subject to disciplinary action: · speaking or communicating with other examination candidates, unless otherwise authorized; · purposely exposing papers to the view of other examination candidates or imaging devices; · purposely viewing the written papers of other examination candidates; · using any books, papers or other memory aid devices not authorized by the examiner(s); · using or operating electronic devices not authorized by the examiner(s) Page 1 of 14
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R L = 4 m 1. (15 points) A ramp with length L = 4 meters and mass mR = 10 kg leans against a wall at 60°. It has a roller at the top at point R and static friction coefficient u = 0.4 with the ground at point G. A box with mass mB = 50 kg is distance x from the bottom of the ramp. Neglect the size of the box. Assume there is sufficient friction that the box does not slide down the ramp. A. Add labelled arrows to the diagram for the forces on the ramp at the places where they are applied B. Write the equation(s) for force equilibrium of the ramp. C. Write the equation(s) for moment equilibrium of the ramp. Use point G as the reference point. D. At what position x of the