Figure P2.114-P2.117 For the description and figure indicated below, determine t

Question

Figure P2.114-P2.117 For the description and figure indicated below, determine the components of the cord force in directions parallel and perpendicular to rod CD. If released from rest, will the cord force tend to make bead E slide toward C or D? Use the description and figure for Prob. 2.94 on p 82. Use the description and figure for Prob. 2.95 on p 82. A cantilever I beam has a cable at end B that supports a force F rightarrow, and r rightarrow AB is the position vector from end A of the beam to end B. Position vectors r rightarrow 1 and r rightarrow 2 are parallel to the flanges and web of the I beam, respectively. For determination of the internal forces in the beam (discussed in Chapter 8), and for mechanics of materials analysis, it is necessary to know the components of the force in the axial direction of the beam (AB) and in directions parallel to the web and flanges. Using the dot product, show that r rightarrow 1, r rightarrow 2, and r rightarrow AB are orthogonal to one another. Determine the scalar and vector components of F rightarrow in direction r rightarrow AB. Determine the scalar and vector components of F rightarrow in direction r rightarrow 1. Determine the scalar and vector components of F rightarrow in direction r rightarrow 2.

Explanation / Answer

RATE ME FIRST IF MY ANSWERS ARE RIGHT.... r1 = -49 i - 4j + 97k F = 0.3i +1.4 j - 1.8 k unit vector r1 = (-49 i - 4j + 97k)/108.747 scalar component of F along r1 = F1. unit vector r1 = -1.7922 N vector component = scalar component (unite vector r1) = -1.7922 N *(-49 i - 4j + 97k)/108.747 = 0.807 i + 0.0659 j - 1.5986 k

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