The bar AB, 6 m long and of negligible mass, is supported by a ball-and-socket joint at A and by two cables connected at B and C (Figure 1). The bar is subjected to a force P applied at F with a magnitude of 100 kN whose direction is parallel to the x-axis. (a) Draw the free body diagram of bar AB. (b) Express the force vectors represented in the FBD in terms of the unit vectors i,j,k. This includes all reactions, applied external forces and tensions in the cables. (c) Determine the magnitude of the tensions in cables BE, CD and the components of the reaction of the ball joint at point A. Clearly state your calculation steps. Z 5 m D P-100N 3 m C 4 m F B 6 m Figure 1 3 m E 2 m X Page 2

The bar AB, 6 m long and of negligible mass, is supported by a ball-and-socket joint at A and by two cables connected at B and C (Figure 1). The bar is subjected to a force P applied at F with a magnitude of 100 kN whose direction is parallel to the x-axis. (a) Draw the free body diagram of bar AB. (b) Express the force vectors represented in the FBD in terms of the unit vectors i,j,k. This includes all reactions, applied external forces and tensions in the cables. (c) Determine the magnitude of the tensions in cables BE, CD and the components of the reaction of the ball joint at point A. Clearly state your calculation steps. Z 5 m D P-100N 3 m C 4 m F B 6 m Figure 1 3 m E 2 m X Page 2

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...

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In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
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