3.10 Exerdse(b) Using the cross product of position and force vectors, generatdetermine an expression for the moment generated by F M.about point A in terms of a, b, and F.(c) If a b= 30 cm and F = 20 N, calculate the magni-tude of the moment about point A due to F.%3DwrenchDete%3Dof theAnswers: (b) MA=-bFj, (c) M, = 6 N-m.AnswerProble m 3.10 As shown in Fig 3.38, consider a workerusing a special wrench to tighten bolts. The couple moment is Problem 3.9 Consider the L-shaped beam illustrated inFig 3.37. The beam is mounted to the wall at point A, theC,arm AB extends in the z direction, and the arm BC extendsofin the x direction, A force Fis applied in the z direction atthe free-end of the beam.ONN isakes(a) If the lengths of arms AB andBC are a and b, respectively,and the magnitude of the applied force is F, observe thatthe position vector of pointC relative to point A can bewritten as r= bị + ak afd the force vector can beexpressed as FE= Fk where L J, and k are unit vectorsndic ating positive x, y, and z directions, respectively.mentB.Fig. 3.37 I'robkm 39PrtScInsertDeleteF8F9F10F11F12&Backsp7 V94* CO

Name: 3.10 Exerdse(b) Using the cross product of position and force vectors
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: 3.10 Exerdse(b) Using the cross product of position and force vectors, generatdetermine an expression for the moment generated by F M.about point A in terms of a, b, and F.(c) If a b= 30 cm and F = 20 N, calculate the magni-tude of the moment about

Answered: Image /qna-images/answer/4ce5d2f0-95dd-48eb-bdb8-ad716c1d3565.jpg

Engineering

Mechanical Engineering

Problem 3.9 Consider the L-shaped beam illustrated in Fig. 3.37. The beam is mounted to the wall at point A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A force F is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB andBC are a and b, respectively, and the magnitude of the applied force is F, observe that the position vector of pointC relative to point A can be written as r= bị + ak and the force vector can be expressed as F = Fk, where ij, and k are unit vectors indic ating positive x, y, and z directions, respectively. A B Fig. 3.37 Probkem 39

Problem 3.9 Consider the L-shaped beam illustrated in Fig. 3.37. The beam is mounted to the wall at point A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A force F is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB andBC are a and b, respectively, and the magnitude of the applied force is F, observe that the position vector of pointC relative to point A can be written as r= bị + ak and the force vector can be expressed as F = Fk, where ij, and k are unit vectors indic ating positive x, y, and z directions, respectively. A B Fig. 3.37 Probkem 39

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Solve the reaction of the accompanying figure shown.
I need the answer as soon as possible
Asap
For the structure shown below, 240 N force is acting at an angle 8 = 30° at point F. (a) Determine the reaction forces at A and B (b) Force at joint D 100 mm 100 mm -300 mm- 50 mm IB 150 mm 200 mm 240 N
Problem #1 The inclined pole is subjected to a 5 kN magnitude force vector F acting from point B towards point C. В (1,5, 6) m (a) Determine the angle 0 that exists between the force vector F and the pole AB. F (b) Determine the magnitude of the component of the force vector F that acts parallel to the pole AB. A y (c) Determine the magnitude of the component of the force vector that acts perpendicular to the pole AB. С (4, 3, 0) m (d) If the maximum allowable compressive force (i.e., Parallel Component of F) the pole AB can resist is 8 kN, determine the largest magnitude of the vector F that can be applied at B in the direction shown to satisfy this condition.
Figure 1 Q. 2 (a) A 8 lb force P is applied to a shift lever as shown in figure 2. Determine the moment of P about B when a is equal to 25°. (b) Determine the magnitude and the direction of the smallest force P that has a 210-lb- in. clockwise moment about B. P 22 in. e8 in.- Figure 2
Practice Problem 2.4.6: A force P in the xy-plane acts on the triangular plate. The moments of P about points O, A, and B are Mo = 80 N m counterclockwise, MA = 200 N ·m clockwise, and MB = 0. Determine P. 500 mm 400 mm B
Section 3.3 Moment of a Force 3.17 The four forces shown have parallel lines of action. Member AB is perpendicular to the lines of action of these forces. (a) Determine the moment of each force with respect to point A. (b) Compute the algebraic summation of the moments with respect to point A. Be sure to note the sense of the resul- tant moment. A 20 lb PROBLEM 3.17 5' 40 lb + 6' 50 lb 230 lb 2 2x2 8' B TIRSINT
Can you provide me the solution of this? Thank you! A 5-m-long simply supported timber beam carries two concentrated loads as shown. If L = 30 kN and M = 54 kN, determine the magnitude of the vertical force acting at support A.
3 Moment and Torque Vectors Problem 3.8 As illustrated in Fig, 336, consider a cantile- ver beam of 9 kg mass. The beam is fixed to the wall at point A and at point B. The length of the beam is /= 4 m. Point C is the center of gravity of the beam. The weight of W1 50 N is attached at the free end of the beam such that the distance between point B and the line of gravity of the weight is /= 35 cm. A force with magnitude F applied at the free end of the beam to keep the beam in place. The line of action of the force makes an angle ß= 35 with 180 N is the horizont al. Detemine the magnitude and direction of the net moment generaled about point A, Answer: Mc 54.1N(ccw). ned tha l is AL r the ns of Fig. 3.36 A ut.s. e s hw heda tree d Problem 3.9 C ler the
For the shown figure below: The value of moment about O equals to: *
4.18. A beam of circular cross section, radius 3a has two eccentric circular holes of radius a as shown in Figure P4.18. 3a 2 За За Figure P4.18 Find the centroid of the section and the second moments of area I,,Iy, y about centroidal axes.