Problemas de Prac ca: INGE 3031
Prof. Aidcer L. Vidot Vega - UPRM
VECTORES DE FUERZAS EN 3D
(From: Vectors of Mechanics -Beer et al. (2019) and Engineering Mechanics-Sta cs- Hibbeler (2016)
PROBLEM 1. The end of the coaxial cable AE is a ached to the pole
AB, which is strengthened by the guy wires AC and AD. Knowing that
the tension in wire AC is 120 lb and the tension in wire AD is 85 lb,
determine (a) the components of the resultant force exerted by the
wires on the pole and its orienta on (direc onal angles). Solu on:
R=196.8 lb at 61.6◦,151.3◦, 86.2◦
PROBLEM 2. Knowing that the tension is 1425 N in cable AB and
2130 N in cable AC, determine the magnitude and direc on of the
resultant of the forces exerted at A by the two cables. Solu on: R=
3117 N at 37.4◦,122◦, 72.6◦
PROBLEM 3. Determine the magnitude and direc on of the
resultant force ac ng on the pipe assembly. Solu on: R= 754
lb at 25.5◦,68◦, 77.7◦
Problemas de Prac ca: INGE 3031
Prof. Aidcer L. Vidot Vega - UPRM
PROBLEM 4. The spur gear is subjected to the two forces caused by contact
with other gears. Express the resultant force as a Cartesian vector and
calculate its magnitude. Solu on: R= 150.7 lb (R = 90 i -113 j +42 k)
PROBLEM 5. If F3 = 9kN, = 30°, and = 45°, determine the
magnitude and coordinate direc on angles of the resultant
force ac ng on the ball-and-socket joint. Solu on: R= 9.63 kN at
115◦,97◦, 154◦
PROBLEM 6. Determine the magnitude and direc on of the
resultant of the tension forces exerted by the cables BD and BE at
B. knowing that the tension in the cables is 385 N (each one).
Solu on: R=748 N at 120◦,52.5◦, 128◦
Problemas de Prac ca: INGE 3031
Prof. Aidcer L. Vidot Vega - UPRM
PROBLEM 7. Determine the magnitude and coordinate
direc on angles of the resultant force. Solu on: R= 117 lb at
91.3◦,98.4◦, 172◦
PROBLEM 8. A cylinder that weights 20 N is being hold by a cable and a boom OA. Determine the magnitude of the
resultant force exerted on the boom. The weight acts as a ver cal downward force. Solu on: R= 65.11 N.