COSMOS Chapter 4 Solution 73 | Michigan State University - Edubirdie

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

2019
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396

Pages:

1
Author:

Apolenajz

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 73. Free-Body Diagram: Let D be the intersection of the lines of action of the three forces acting on the tool. From the free-body diagram: yDC = (14.4 in.) cos 35° = 32.409 in. xBC = tan 20° tan 20° yBC = (14.4 in.) sin 35° = 8.2595 in.  α = tan −1   yDC  3.6 in.  − yBC − 1.8 in.    3.6 in. = tan −1    ( 32.409 − 8.2595 − 1.8 ) in.  = 9.1505° From the force triangle, using the law of sines: 20 lb A = sin α sin 20° or A = 43.0 lb 80.8° on tool, and A = 43.0 lb 80.8° on rim of can.

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