board. cables 9. 300 hinge canal Figure 3
An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a(into the page) and length bwhich can pivot at oneend. When it is not in use, the span of the bridge is held at a 60ºangle from the horizontal direction. The two ideal cables that holdit at itsfarther end areanchored to the ground so that they forma 30º angle with the horizontal direction, as shown in Fig. 3.The acceleration due to gravity has magnitude g.
a) Draw the free body diagram of the rectangular board. Each force should be properly labeled and represented where it applies.
b) Set up all the detailedscalar equations (not the general version)expressing the static equilibrium of the drawbridge.
c) Determine the magnitude Tof the tension force exerted by eachof the two cableson the board.
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