Determine the tension and reaction in cable - mechanics, Mechanical Engineering

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Q:  The12m boom AB weight 1 KN, the distance of center of gravity G is 6 m from point A. For the position given, determine the tension T in cable and reaction at B.

Sol.: The free body diagram of boom is shown in the figure given to us

MA = 0

T sin 15º X 12 - 2.5 X 12 cos 30º - 1 X 6 cos 30º = 0

T = 10.0382 KN                     .......ANS

Reaction at point B = (2.52  + 102  + 10 X 2.5 X cos 75º)1/2

RB = 10.61 KN                          .......ANS

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