Explanation Given information : Force ( F ) is 80 N. Force (– F ) is –80 N. Calculation : Show the free body diagram of the assembly as in Figure 1. Use figure 1. Determine the position vector for point AB . r A B = r B − r A = ( x B i + y B j + z B k ) − ( x A i + y A j + z A k ) = ( x B − x A ) i + ( y B − y A ) j + ( z B − z A ) k (1) Here, the position vector for point B is r B , the position vector for point A is r A , the distance of point B from the origin along x direction is x B , the distance of point B from the origin along y direction is y B , the distance of point B from the origin along z direction is z B , the distance of point A from the origin along x direction is x A , the distance of point A from the origin along y direction is y A , the distance of point A from the origin along z direction is z A , the vector component along x direction is i, the vector component along y direction is j, and the vector component along z direction is k. Determine the position vector for point BA . r B A = r A − r B = ( x A i + y A j + z A k ) − ( x B i + y B j + z B k ) = ( x A − x B ) i + ( y A − y B ) j + ( z A − z B ) k (2) Express force ( F ) as follows: F = [ 80 k ] N (3) Express force (– F ) as follows: − F = [ − 80 k ] N (4) Determine the couple moment due to force F. M C = r A B × F (5) Determine the couple moment due to force –F. M C = r B A × ( − F ) (6) Determine the magnitude of M C using the formula: M = M x 2 + M y 2 + M z 2 (7) Determine the coordinate direction angle α : α = cos − 1 ( M x M ) (8) Determine the coordinate direction angle β : β = cos − 1 ( M y M ) (9) Determine the coordinate direction angle γ : γ = cos − 1 ( M z M ) (10) Show the calculation of couple moment and the coordinate direction angle as follows: Conclusion : Substitute 0.3 m for x B , 0.2 m for x A , 0.8 m for y B , 0.3 m for y A , 0 m for z B , and 0 m for z A in Equation (1). r A B = ( 0.3 − 0.2 ) i + ( 0.8 − 0.3 ) j + ( 0 − 0 ) k = 0.1 i + 0.5 j + 0 k = ( 0.1 i + 0.5 j ) m Substitute 0.2 m for x A , 0.3 m for x B , 0.3 m for y A , 0.8 m for y B , 0 m for z A , and 0 m for z B , and in Equation (2). r B A = ( 0.2 − 0.3 ) i + ( 0.3 − 0.8 ) j + ( 0 − 0 ) k = − 0.1 i − 0.5 j + 0 k = ( − 0.1 i − 0.5 j ) m Substitute ( 0.1 i + 0

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780134301006

Author: Russell C. Hibbeler

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 3.6, Problem 66P

To determine

Find the magnitude and coordinate direction angles of the couple moment.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.6, Problem 65P

Chapter 3.6, Problem 67P

Students have asked these similar questions

What is the configuration of the control loop if steam must be shut down in case of a problem? (I found this question on the internet and was wondering what the answer is) A.Valve is fail open, PIC is direct-acting, TIC is reverse acting, and controller algorithm is feed-forwarding.B. Valve is fail open, PIC is reverse-acting, TIC is direct acting, and controller algorithm is cascade.C. Valve is fail closed, PIC is direct-acting, TIC is reverse acting, and controller algorithm is feed-forward.D. Valve is fail closed, PIC is reverse-acting, TIC is reverse acting, and controller algorithm is cascade.

What is the procedure to replace the input bellows?(I found this question on the internet and was wondering what the correct answer is out of interest) Remove tubing, old bellows and flapper assembly, install new bellows, connect tubing, install flapper assembly, then calibrate the positioner.Remove tubing, old bellows and cam, install new bellows, connect tubing, install cam, then calibrate the positioner.C. Remove tubing and old bellows, align the quadrant beam, install new bellows and connect tubing, then calibrate the positioner.D. Remove tubing and old bellows, install new bellows and connect tubing, align the quadrant beam, then calibrate the positioner.

Given the following information: (I found this question on the internet and was wondering what the correct answer is) Firing rate demand = 20% Fuel air ratio = 2:1 Fuel flow = 20% Minimum air flow setting = 5% What is the set point for the air flow controller? 5%B. 10%C. 25%D. 40%

Chapter 3 Solutions

Statics and Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (5th Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Find the magnitude and coordinate direction angles of the couple moment.

Solution Summary: The author calculates the magnitude and coordinate direction angles of the couple moment.

Videos

Find the magnitude and coordinate direction angles of the couple moment.

Want to see the full answer?

Chapter 3 Solutions