MP1 - MasteringPhysics Assignment Print View http/session.masteringphysics.com/myct/assignmentPrint?assig Print View PH1110A2008 Assignment 1 Due

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Print View ] PH1110A2008 Assignment 1 Due at 11:59pm on Friday, August 29, 2008 View Grading Details Vector Components--Review Learning Goal: To introduce you to vectors and the use of sine and cosine for a triangle when resolving components. Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. The figure shows the components of , and , along the x and y axes of the coordinate system, respectively. The components of a vector depend on the coordinate system's orientation, the key being the angle between the vector and the coordinate axes, often designated . Part A The figure shows the standard way of measuring the angle. is measured to the vector from the x axis, and counterclockwise is positive. Express and in terms of the length of the vector and the angle , with the components separated by a comma. ANSWER: , = In principle, you can determine the components of any vector with these expressions. If lies in one of the other quadrants of the plane, will be an angle larger than 90 degrees (or in radians) and and will have the appropriate signs and values. Unfortunately this way of representing , though mathematically correct, leads to equations that must be simplified using trig identities such as MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assig. .. 1 of 6
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This note was uploaded on 10/13/2008 for the course PH 1110 taught by Professor Kiel during the Spring '08 term at WPI.

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MP1 - MasteringPhysics Assignment Print View http/session.masteringphysics.com/myct/assignmentPrint?assig Print View PH1110A2008 Assignment 1 Due

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