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Chapter 3: Q. 3b (page 77)

a. What are the x- and y-components of vector shown in FIGURE EX3.3 in terms of the angle胃 and the magnitude E?

b. For the same vector, what are the x- and y-components in terms of the angle 胃and the magnitude E?

Short Answer

Expert verified

a. x-component and y-component are found to be Ex=Esin胃鈥冣赌�Ey=鈭�Ecos胃.

b. x-component and y-component are found to beEx=Ecos蠒鈥冣赌�Ey=鈭�Esin蠒 .

Step by step solution

01

Part(a)

Considering the angle the x-component and y-component are written as

Ex=Esin胃鈥冣赌�Ey=鈭�Ecos胃.

02

Part (b)

Considering the angle蠒the x- component, and y-component is written a

localid="1651829001488" Ex=Ecos蠒鈥�Ey=鈭�Esin蠒.

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Most popular questions from this chapter

Tom is climbing a 3.0鈭�m-long ladder that leans against a vertical wall, contacting the wall 2.5mabove the ground. His weight of680N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N.) What are the components of Tom's weight parallel and perpendicular to the ladder?

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a. What is the particle's distance from the origin at localid="1651417420923" t=0,2, and localid="1651417427817" 5s
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I A runner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. Let a coordinate system have its origin at the center of the circle with the -axis pointing east and the -axis north. The runner starts at and runs \(2.5\) times around the track in a clockwise direction. What is his displacement vector? Give your answer as a magnitude and direction.
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