A A drawbridge is ctangulal board of mass M, width a, and length E which can pivot at one end. When not in use, the span of bridge is held at a 60 degree angle from the horizontal direction. The two ideal cables that hold it at its farther end are anchored to the ground, so they form a 30 degree angle.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A drawbridge is made of a rectangular
board of mass M, width a, and length b
which can pivot at one end. When not
in use, the span of bridge is held at a
60 degree angle from the horizontal
direction. The two ideal cables that
hold it at its farther end are anchored
to the ground, so they form a 30
degree angle.
Draw the free body diagram of the
rectangular board.
Set up detailed scalar equations
expressing static equilibrium of the
drawbridge.
What is the magnitude T of the tension
force exerted by each of the two
cables on the board?
What's Fh of the hinge exerted on the
board and the angle 0h that the force
forms with respect to the horizontal
direction.
Transcribed Image Text:A drawbridge is made of a rectangular board of mass M, width a, and length b which can pivot at one end. When not in use, the span of bridge is held at a 60 degree angle from the horizontal direction. The two ideal cables that hold it at its farther end are anchored to the ground, so they form a 30 degree angle. Draw the free body diagram of the rectangular board. Set up detailed scalar equations expressing static equilibrium of the drawbridge. What is the magnitude T of the tension force exerted by each of the two cables on the board? What's Fh of the hinge exerted on the board and the angle 0h that the force forms with respect to the horizontal direction.
board
cables
M
b.
దంలా
30°
hinge
canal
Figure 3
Transcribed Image Text:board cables M b. దంలా 30° hinge canal Figure 3
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