Mechanics a Textbook for Engineers

Cover Mechanics a Textbook for Engineers
Mechanics a Textbook for Engineers
James E James Ellsworth Boyd
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Example Find the resultant of the following three forces: 10 pounds at 38 degrees with the vertical in a vertical plane which is north 25 degrees east; 12 pounds east of north at an angle of 45 degrees with the vertical and an angle of 60 degrees with the north horizontal; and 13 pounds applied by means of a rope which passes over a pulley 4 feet east, 3 feet south, and 12 feet above the point of application of the forces.
Force Components Up North East 10 7. 880 5. 580 2. 602 12 8. 484 6. 000
...6. 000 13 12. 000 -3. 000 4. 000 28. 364 8. 580 12. 602 If is the angle which the vertical plane of the resultant makes with the north vertical plane, = 12. 602 = 55 45'.
If H is the resultant of the two horizontal components, 12. 602 sin = 15. 25 Ib.
If 6 is the angle which the resultant makes with the vertical, tan0 = R 28. 36 28. 36 cos , = 28 16'. 32. 20 Ib.
The resultant is a force of 32. 20 pounds at an angle of 28 16' with the vertical in a vertical plane which is north 55 45' east.
Problems 1.


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