A solid cylindrical shaft anchored to the wall at point O is subjected to 70 N and 85 N couples and a concentrated moment at point E. Determine the resultant couple moment. Hint: You can do this in either of two ways by applying (1) a "scalar" approach by evaluating the individual moments of the x, y, and z components of the 70N and 85N forces, taking positive moments to be in the positive coordinate directions according to the right-hand rule., or (2) the "vector approach" utilizing 3D position vectors using the general cross product definition for the force moment.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.6P: Find the internal force systems acting on sections 1 and 2.
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A solid cylindrical shaft anchored to the wall at point O is subjected to 70 N and 85 N couples and a
concentrated moment at point E. Determine the resultant couple moment. Hint: You can do this in
either of two ways by applying (1) a "scalar" approach by evaluating the individual moments of the x, y,
and z components of the 70N and 85N forces, taking positive moments to be in the positive coordinate
directions according to the right-hand rule., or (2) the "vector approach" utilizing 3D position vectors
using the general cross product definition for the force moment.
70 N
0.8 m
1.2 m
2
6
70 N
1.2 m
0.8 m
9
85 N 12
9
12
-1.2m 1.5m
8
D
85 N
C
8
E
200 N·m
X
Transcribed Image Text:A solid cylindrical shaft anchored to the wall at point O is subjected to 70 N and 85 N couples and a concentrated moment at point E. Determine the resultant couple moment. Hint: You can do this in either of two ways by applying (1) a "scalar" approach by evaluating the individual moments of the x, y, and z components of the 70N and 85N forces, taking positive moments to be in the positive coordinate directions according to the right-hand rule., or (2) the "vector approach" utilizing 3D position vectors using the general cross product definition for the force moment. 70 N 0.8 m 1.2 m 2 6 70 N 1.2 m 0.8 m 9 85 N 12 9 12 -1.2m 1.5m 8 D 85 N C 8 E 200 N·m X
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