An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a (into the page) and length b which can pivot at one end. When it is not in use, the span of the bridge is held at a 60º angle from the horizontal direction. The two ideal cables that hold it at its farther end are anchored to the ground so that they form a 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 detailed scalar equations (not the general version) expressing the static equilibrium of the drawbridge. c. Determine the magnitude T of the tension force exerted by each of the two cables on the board
Q3: An old single-leaf drawbridge is made of a thin rectangular board of mass M, width a (into the page) and length b which can pivot at one end. When it is not in use, the span of the bridge is held at a 60º angle from the horizontal direction. The two ideal cables that hold it at its farther end are anchored to the ground so that they form a 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 detailed scalar equations (not the general version) expressing the static equilibrium of the drawbridge.
c. Determine the magnitude T of the tension force exerted by each of the two cables on the board.
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