Answer to Question #317111 in Mechanical Engineering for Brylle

Question

3-5. A vector is 4 in. long and has a direction-sense of 60°.

(a) Resolve

the vector into horizontal and vertical components,

(b) Find the components

of this vector on lines making 15° and 75° with the horizontal. (c) Find the

components of this vector along and perpendicular to a line making 30° with

the horizontal,

Answer 1

method of resolving a vector into its components was thoroughly discussed. During that lesson, it was said that any vector that is directed at an angle to the customary coordinate axis can be considered to have two parts - each part being directed along one of the axes - either horizontally or vertically. The parts of the single vector are called components and describe the influence of that single vector in that given direction.