Explanation Formula used: The formula of resultant vectors and angle is given by R = R x 2 + R y 2 θ = tan − 1 | R x 2 R y 2 | Calculation: Suppose the wind is coming from northwest, then it would point southeast. The two vectors are C and T and vector C represents the force from the crane which is upward and vector T represents force from the truck. Place the vectors on a coordinate system as show below in Figure 1. Find the component of each vector: C x = C cos 90 ° = 6520 cos 90 ° = 0 T x = T cos 15 ° = 8280 cos 15 ° = 8280 ( 0.965 ) = 7997.9 C y = C sin 90 ° = 6520 ( 1 ) = 6520 T y = T sin 15 ° = 8280 sin 15 ° = 8280 ( 0.258 ) = 2136.24 The R x and R y can be calculated as follows: R x = C x + T x = 0 + 7997

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector spa…

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 9.4, Problem 5E

To determine

To find: The resultant of two forces.

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Chapter 9 Solutions

EBK BASIC TECHNICAL MATHEMATICS

Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

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