University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2019
Views:

367

Pages:

1
Author:

omiliar74be

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 89. Free-Body Diagram: Note that the rod is a three-force body. In the free-body diagram, E is the intersection between the lines of action of the three forces. Using triangle ACF in the free-body diagram: yCF = d tan θ From triangle CEF: xFE = yCF tan θ = d tan 2 θ and from triangle AGE: cosθ = Noting that 1 + tan 2 θ = sec 2 θ = d + xFE ( L2 ) = d + d tan 2 θ ( L2 ) (1) 1 cos 2 θ (1) gives cosθ = 2d  1 L  cos 2 θ   , or  2d L Using the given values of d = 2.8 in., and L = 10 in. cos3 θ = cos3 θ = 2(2.8 in.) = 0.56 10 in. cosθ = 0.82426 θ = 34.486° or θ = 34.5°

COSMOS Chapter 4 Solution 89

of 1

Description

Free up your schedule!

Take 5 seconds to unlock