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PCS 211

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Department of Physics PCS211 – PHYSICS: MECHANICS Please put the initial of your last name inside the circle Final Exam – April 21, 2009 Please Print Clearly: Student:_____________________________ __________________ _________ Last Name First Name Student Number: _____________________ Student Section: _____________ __ Check the name of your professor: Dr. J. Carvalho Dr. J. Yuan Dr. J. Tavakkoli Dr. J. Hu Dr. Y. Xu Instructions - Read them attentively • The test consists of 23 multiple choice questions. Answer all questions. • Each question is worth 1 mark. • For each multiple choice question: o You need to show all the work you’ve done to arrive at the answer in the space provided in this booklet. If no work is shown to justify the answer to a question, the resultant mark may be zero, even if the answer in the bubble sheet is correct. o The work shown in your exam booklet may be checked, at least for one of the questions, selected randomly. o Transfer your choices to the bubble sheet only when you’re sure of them. o Some answers are rounded off a bit so don’t panic! • Duration of the exam: 2.5 hours. • Pagers and cell phones must be silenced and placed out of reach. Earphones are not allowed. If a phone rings, its owner is responsible for disrupting the exam and the phone will be confiscated or the owner will be asked to leave the room resulting in a zero on the test. • Sharing of pens, erasers and calculators is not permitted. • Talking to another student or glancing over another student’s paper is not permitted and may result in a charge of academic misconduct. • Formula sheets are not allowed. The only calculators allowed are either the Sharp EL-546 or C asio FX-991 . If you are found to have another type of calculator (even if not programmable) it will be confiscated for the duration of the test. • All Ryerson Examination rules apply. Your signature here (no signature, no mark!) 1. The 20-g bullet is fired horizontally at 1200 m/s into a 500-g block resting on a smooth surface. If the bullet becomes embedded in the block, what is the velocity of the block immediately after impact. A) 1125 m/s B) 80 m/s C) 1200 m/s D) 75 m/s E) 46 m/s 2 | Page 2. A 100 N cabinet is placed on a smooth surface. If a force F of magnitude 200 N is applied for 2 s, determine the impulse caused by the force F on the cabinet. A) 315 kg.m/s B) 400 kg.m/s C) 220 kg.m/s D) 300 kg.m/s E) 485 kg.m/s 25o 3 | Page 3. Determine the location (x,y coordinates) of the centroid of the area shown composed of a square and a triangle from which a circle has been removed. A) (0.430, 0.258) m B) (0.134, 0.258) m C) (0.176, 0.284) m D) (0, 0.30) m E) (0, 0.258) m y 60 cm x 30 cm 30 cm 60 cm 4 | Page 4. Determine the vertical components (i.e. the y-components) of the reactions at the supports A and B knowing that the beam is in equilibrium. The answers are given in the format (R , R Ay By A) (400, 200) N B) (400, 300) N C) (300, 200) N D) (200, 300) N E) (400, 500) N 5 | Page 5. The weightless beam and cable (with a frictionless pulley at D) support an 80 kg load at C. Find out the tension in cable BDE. A) 829 N B) 784 N C) 353 N D) 256 N E) 545 N 6 | Page 6. The 800 N uniform beam shown in the diagram is in equilibrium . Determine the reaction moment exerted by the wall at point A. Assume counterclockwise moments to be positive. A) 2400 N·m B) −2400 N·m C) 4800 N·m D) −4800 N·m E) 0 N·m 7 | Page 7. Determine the magnitude of the projection of vector r 2long r 1 A) 2 m B) 3 m C) 1 m D) 4 m E) none of these 8 | Page 8. A 30 kg block is in equilibrium supported by two springs as shown. The stiffness of each spring is given in the figure. Determine the tension in the spring in branch AC. A) 198 N B) 184 N C) 225 N D) 230 N E) none of these 9 | Page 9. Two couples act on the beam as shown. Determine the magnitude of F so that the resultant couple moment is 350 lb.ft counterclockwise. A) 181 lb B) 167 lb C) 13.9 lb D) 0 E) 542 lb 10 | Page 10. Observe the figure and determine the moment of the force F shown about the y-axis. A) 280 N.m B) −68.9 N.m C) 57.8 N.m D) −57.8 N.m F={5 i – 3j – 8k} kN E) −280 N.m 11 | Page 11. If a block is stationary, then the friction force acting on it must always be A) ≤ μsN B) = s N C) ≥ s N D) = μkN
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