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Draw the Free-Body Diagram:
A 3 m long boom (Figure) is held by a ball and socket joint at A and by two cables CD and BE. It carries load of 20 kN at B. Draw the Free-Body Diagram for the boom AB.
Solution
Free-Body Diagram for the boom AB in Figure (b) shows the following:
1. boom AB,
2. constraining forces Ax, Ay and Az because of ball and socket support at A,
3. tension TCD in cable CD, and
4. tension TBE in cable BE.
(a) Evaluate the natural frequency of system shown in figure and show that it will be equal to (b) calculate equivalent stiffness of two springs connected in parallel.
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