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Unformatted text preview: shah (rps587) HW 3 Kleinman (58225) 1 This print-out should have 29 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. This HW covers Chs. 3 and 4. 001 10.0 points Find the magnitude of the displacement of a point on a wheel initially in contact with the ground when the wheel, of radius 52 . 8 cm, rolls forward half a revolution. Correct answer: 196 . 637 cm. Explanation: Basic Concepts: Magnitude of Vector The point of contact has moved forward half a revolution, so the horizontal displacement is half the circumference x = R The point initially in contact with the ground is now at the top of the wheel, so its vertical displacement is y = 2 R Thus, the magnitude of the displacement is s = radicalbig x 2 + y 2 002 (part 1 of 2) 10.0 points A B C D P R The vector vector R shown in the sketch may be expressed in terms of vector A , vector B , vector C , and vector D , which are the edges of a parallelogram, as 1. vector R = vector B vector A. 2. vector R = vector A + vector D . 3. vector R = vector A vector B . 4. vector R = vector B + vector D . 5. vector R = vector A vector C . 6. vector R = vector A vector D . 7. vector R = vector B + vector A. correct 8. vector R = vector C + vector D . 9. vector R = vector D vector A. 10. vector R = vector C + vector B . Explanation: The solution is found by the application of the parallelogram rule of addition; the tails of the two vectors vector A and vector B are joined together and the resultant vector is the diagonal of a parallelogram formed with vector A and vector B as two of its sides. 003 (part 2 of 2) 10.0 points The vector vector P shown in the sketch may be expressed in terms of vector A , vector B , vector C , and vector D as 1. vector P = vector B vector A. 2. vector P = vector D vector A. 3. vector P = vector A vector D . 4. vector P = vector C vector A. 5. vector P = vector A + vector D . 6. vector P = vector C + vector D . 7. vector P = vector C + vector B . 8. vector P = vector B + vector A. 9. vector P = vector A vector B . correct 10. vector P = vector B + vector D . Explanation: By the triangle method of addition vector B + vector P = vector A . Therefore vector P = vector A vector B . 004 (part 1 of 2) 10.0 points A golfer takes two putts to sink his ball in the shah (rps587) HW 3 Kleinman (58225) 2 hole once he is on the green. The first putt displaces the ball 1 . 50 m east, and the second putt displaces it 6 . 58 m south. a) How large a displacement would put the ball in the hole in one putt? Correct answer: 6 . 74881 m. Explanation: Basic Concept: The displacements are perpendicular, so d = radicalBig ( x ) 2 + ( y ) 2 Given: x = 1 . 50 m y = 6 . 58 m Solution: d = radicalBig (1 . 5 m) 2 + ( 6 . 58 m) 2 = 6 . 74881 m 005 (part 2 of 2) 10.0 points b) What is the direction (measured from due east, with counterclockwise positive) of the displacement?displacement?...
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- Spring '09