Problem 5: A wrench is used to apply a torque to a bolt. Forces F, through F, all have the same magnitude. The point of application of force F1 (and F4) is a distance d from the center of rotation of the bolt. The application points of F1, F2, and F3 are all distance d apart, as shown. Use the convention that counter-clockwise torques are positive; clockwise torques are negative. 30% F F, 60° F, F, 6. 45° F, Part (a) Which of the labeled forces will apply the largest magnitude torque on the bolt? MultipleChoice : 1)F.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 5: A wrench is used to apply a torque to a bolt. Forces F, through F6 all
have the same magnitude. The point of application of force F1 (and F4) is a distance d
from the center of rotation of the bolt. The application points of F,, F2, and F3 are all
distance d apart, as shown. Use the convention that counter-clockwise torques are
positive; clockwise torques are negative.
30%
F.
F, 60°
F.
45°
Part (a) Which of the labeled forces will apply the largest magnitude torque on the bolt?
MultipleChoice :
1) F,
2) F
3) F
4) F6
5) All forces apply the same torque.
6) F5
7) F4
Part (b) Which of the labeled forces will apply the smallest magnitude torque on the bolt?
MultipleChoice :
1) F
e) F
3) F2
4) Fs
5) All forces apply the same torque.
6) F4
7) F3
Part (c) Determine the torque applied on the bolt by F, in terms of the variables and angles given in the problem.
Expression :
Select from the variables below to write your expression. Note that all variables may not be required.
cos(45), cos(60), sin(30), sin(45), sin(60), a, d, F1, F2, F3, F4, F5, F6, m, t
Part (d) Determine the torque applied on the bolt by F2 in terms of the variables and angles given in the problem.
Expression :
T2 =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(0), cos(30), cos(45), cos(60), sin(30), sin(45), sin(60), sin(90), a, 0, d, F, F1, F2, F3, F4, Fg, F6, m, t
Part (e) Determine the torque applied on the bolt by F3 in terms of the variables and angles given in the problem.
Expression :
T3 =
3F,dsin 30
Select from the variables below to write your expression. Note that all variables may not be required.
cos(30), cos(45), cos(60), sin(30), sin(45), a, d, F1. F2, F3. F4. Fg, F6, m, t
Transcribed Image Text:Problem 5: A wrench is used to apply a torque to a bolt. Forces F, through F6 all have the same magnitude. The point of application of force F1 (and F4) is a distance d from the center of rotation of the bolt. The application points of F,, F2, and F3 are all distance d apart, as shown. Use the convention that counter-clockwise torques are positive; clockwise torques are negative. 30% F. F, 60° F. 45° Part (a) Which of the labeled forces will apply the largest magnitude torque on the bolt? MultipleChoice : 1) F, 2) F 3) F 4) F6 5) All forces apply the same torque. 6) F5 7) F4 Part (b) Which of the labeled forces will apply the smallest magnitude torque on the bolt? MultipleChoice : 1) F e) F 3) F2 4) Fs 5) All forces apply the same torque. 6) F4 7) F3 Part (c) Determine the torque applied on the bolt by F, in terms of the variables and angles given in the problem. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(45), cos(60), sin(30), sin(45), sin(60), a, d, F1, F2, F3, F4, F5, F6, m, t Part (d) Determine the torque applied on the bolt by F2 in terms of the variables and angles given in the problem. Expression : T2 = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), cos(30), cos(45), cos(60), sin(30), sin(45), sin(60), sin(90), a, 0, d, F, F1, F2, F3, F4, Fg, F6, m, t Part (e) Determine the torque applied on the bolt by F3 in terms of the variables and angles given in the problem. Expression : T3 = 3F,dsin 30 Select from the variables below to write your expression. Note that all variables may not be required. cos(30), cos(45), cos(60), sin(30), sin(45), a, d, F1. F2, F3. F4. Fg, F6, m, t
Part (f) Determine the torque applied on the bolt by F4 in terms of the variables and angles given in the problem.
Expression :
T4 =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(4), cos(0), cos(30), cos(45), cos(60), sin(a), sin(4), sin(0), sin(30), sin(45), sin(60), sin(90), a, 0, d, F, F1, F2, F3, F4, F5, F6, m, t
Part (g) Determine the torque applied on the bolt by F5 in terms of the variables and angles given in the problem.
Expression
T5 =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(45), cos(60), sin(45), sin(60), a, 0, d, F1, F2, F3, F4, F5, F6, m, t
Part (h) Determine the torque applied on the bolt by F, in terms of the variables and angles given in the problem.
Expression
= 91
Select from the variables below to write your expression. Note that all variables may not be required.
cos(45), cos(60), sin(45), sin(60), a, 0, d, F1, F2, F3, F4, F5, F6, m, t
Transcribed Image Text:Part (f) Determine the torque applied on the bolt by F4 in terms of the variables and angles given in the problem. Expression : T4 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(30), cos(45), cos(60), sin(a), sin(4), sin(0), sin(30), sin(45), sin(60), sin(90), a, 0, d, F, F1, F2, F3, F4, F5, F6, m, t Part (g) Determine the torque applied on the bolt by F5 in terms of the variables and angles given in the problem. Expression T5 = Select from the variables below to write your expression. Note that all variables may not be required. cos(45), cos(60), sin(45), sin(60), a, 0, d, F1, F2, F3, F4, F5, F6, m, t Part (h) Determine the torque applied on the bolt by F, in terms of the variables and angles given in the problem. Expression = 91 Select from the variables below to write your expression. Note that all variables may not be required. cos(45), cos(60), sin(45), sin(60), a, 0, d, F1, F2, F3, F4, F5, F6, m, t
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