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Unformatted text preview: sousse (res2468) – 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 68 . 5 cm, rolls forward half a revolution. Correct answer: 255 . 107 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 = πR 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 C + vector D . 2. vector R = vector D − vector A. 3. vector R = vector A + vector D . 4. vector R = vector C + vector B . 5. vector R = vector A − vector C . 6. vector R = vector B + vector D . 7. vector R = vector B − vector A. 8. vector R = vector A − vector D . 9. vector R = vector A − vector B . 10. vector R = vector B + vector A. correct 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 C + vector B . 2. vector P = vector B − vector A. 3. vector P = vector A − vector D . 4. vector P = vector A + vector D . 5. vector P = vector C + vector D . 6. vector P = vector B + vector D . 7. vector P = vector A − vector B . correct 8. vector P = vector C − vector A. 9. vector P = vector B + vector A. 10. vector P = vector D − vector A. 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 sousse (res2468) – HW 3 – Kleinman – (58225) 2 hole once he is on the green. The first putt displaces the ball 5 . 20 m east, and the second putt displaces it 2 . 51 m south. a) How large a displacement would put the ball in the hole in one putt? Correct answer: 5 . 77409 m. Explanation: Basic Concept: The displacements are perpendicular, so d = radicalBig (Δ x ) 2 + (Δ y ) 2 Given: Δ x = 5 . 20 m Δ y = − 2 . 51 m Solution: d = radicalBig (5 . 2 m) 2 + ( − 2 . 51 m) 2 = 5 . 77409 m 005 (part 2 of 2) 10.0 points b) What is the direction (measured from due east, with counterclockwise positive) of the...
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This note was uploaded on 04/08/2009 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas.
- Spring '08