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PCS211 2011 Final.pdf

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PCS 211
B.Devika Chithrani

P a g e | 1 Department of Physics PCS 211 – Physics: Mechanics Please insert in the circle the initial of your last name Please Print Clearly: Student:_______________________________ ___________________________ Last Name First Name Student Number: __________________________ Student Section: _______________ Final Exam – December 9, 2011 Check the name of your professor: Dr. Chithrani Dr. Hu Dr. Tavakkoli Dr. Toronov Dr. Yuan Read the following attentively Ensure that your name and student number are correct in the bubble sheet. Duration of the exam is 170 minutes. The exam consists of 25 multiple-choice questions. Answer ALL questions. Each question has 1 mark. For each multiple choice question: o You need to show, in the space provided in this booklet, a justification for your answer. If no work or correct argument is shown, 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 may be rounded off. Pagers and cell phones must be silenced and placed out of reach. Hats and 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 pencils, 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. The calculator models allowed for the test are either Sharp EL-546 or Casio FX-991 (or versions of these models). If you are found to have another type of calculator, it may be confiscated for the duration of the test. The exam booklet has a total of 12 pages. You are responsible for checking that you have all pages. Sign here to signify you read the instructions 1 | P a g e P a g e | 2 Problems 1. Find the vector resultant of three displacements having x and y components (3.00, 2.00) m, (-5.00, 3.00) m, and (6.00, 1.00) m. (a) 4.00i + 2.00j m (b) -5.00i +3.00j m (c) 4.00i + 6.00j m (d) 6.00i + 1.00j m (e) None of the above 2. What is the angle (in degrees) between the direction of the force and the direction of the section AB of the pipe? (a) 30 (b) 43 (c) 25 (d) 59 (e) None of the above 2 | P a g e P a g e | 3 3. A 600 N load is supported by three cords with the geometry as shown. The tensions in cords AB, AC and AD are respectively: (a) 693 N, 646 N, 900 N (b) 900 N, 646 N, 693 N (c) 693 N, 900 N, 646 N (d) 646 N, 693 N, 900 N (e) None of the above 4. A force is applied to the tool to open a gas valve. The magnitude of the moment of this force about the z axis is (a) 40 N.m (b) 33.3 N·m (c) 50 N.m (d) 25.5 N.m (e) 15.5 N.m 3 | P a g e P a g e | 4 5. The combined mass of wheelbarrow and load is 110 kg with center of mass at G. Determine the magnitude P of the vertical force required to lift the wheelbarrow free of the ground at point B. (a) 156.2 N (b) 125.0 N (c) 179.7 N (d) 110 N (e) 96.8 N 6. Determine the horizontal and vertical components (Ax, Ay) of reaction at pin A to support the steel frame. (a) (10.8, 47.7) kN (b) (10.8, 20.8) kN (c) (20.8, 10.8) kN (d) (47.7, 87.7) kN (e) (20.8, 87.7) kN 4 | P a g e P a g e | 5 7. A uniform piece of steel is shaped as shown in dark color. What are the coordinates of the center of mass of the piece (xM, yM)? (a) (11.7, 13.3) cm (b) (11.7, 16.6) cm (c) (15.2, 16.6) cm (d) (15.2, 13.3) cm (e) (13.3, 15.2) cm 8. A small solid sphere is fired into a viscous medium with an initial speed of 27m/s. If it experiences a rectilinear motion with deceleration of a = (-6t) m/s , where t is in seconds, find the distance traveled before it stops. (a) 108 m (b) 81m (c) 54 m (d) 18 m (e) None of the above 5 | P a g e P a g e | 6 2 9. A car starts from rest and moves with a constant acceleration of 1.5 m/s until it achieves a velocity of 24 m/s. It then travels with constant velocity for 60 seconds. Determine the average speed of the car for the entire motion. (a) 12 m/s (b) 27.2 m/s (c) 21.5 m/s (d) 18.9 m/s (e) None of the above 10. The motions of particles A and B are described by the position vectors of r = [6t i + t (3 - t) j] m 2 A and r B [3(t - 3t + 4) i + (t - 8) j] m. Find the speed of particle A just before the particles collide. (a) 3.3 m/s (b) 6.1 m/s (c) 9.2 m/s (d) 7.8 m/s (e) 15 m/s 6 | P a g e P a g e | 7 11. It is observed that the time for the ball to strike the ground at B is 2.5 s. Determine the angle θ at A which the ball was thrown. º (a) 32.5
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