5. A triangular gate 4ft base and 6 ft highis placed on thesurface of a damshown in the figure.Its base is hinged andthe vertex is attachedto a cylindrical buoywhose weight is 100lb. The externaldiameter of the buoy 12.8 ftis 4 ft and the weightof the gate is 200 lb.The mechanism issuch that the buoywill open the gate ifwater surface willrise higher than 12.8ft. What is the heightof the cylinder belowthe water surface.Answer:5.73 ft4 ft0.60.8+a ft6 ft

Name: 5. A triangular gate 4ft base and 6 ft highis placed on thesurface of
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Description: 5. A triangular gate 4ft base and 6 ft highis placed on thesurface of a damshown in the figure.Its base is hinged andthe vertex is attachedto a cylindrical buoywhose weight is 100lb. The externaldiameter of the buoy 12.8 ftis 4 ft and the weightof t

Given Data: b=4 fth=6 ftd=4 ftWB=100 lbWG=200 lbL=12.8 ft To Find: Height of the cylinder below…

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5. A triangular gate 4 ft base and 6 ft high is placed on the surface of a dam shown in the figure. Its base is hinged and the vertex is attached to a cylindrical buoy whose weight is 100 Ib. The external diameter of the buoy is 4 ft and the weight of the gate is 200 lb. The mechanism is such that the buoy will open the gate if water surface will rise higher than 12.8 ft. What is the height of the cylinder below the water surface.

5. A triangular gate 4 ft base and 6 ft high is placed on the surface of a dam shown in the figure. Its base is hinged and the vertex is attached to a cylindrical buoy whose weight is 100 Ib. The external diameter of the buoy is 4 ft and the weight of the gate is 200 lb. The mechanism is such that the buoy will open the gate if water surface will rise higher than 12.8 ft. What is the height of the cylinder below the water surface.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...

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Topic Video

Question

5. A triangular gate 4
ft base and 6 ft high
is placed on the
surface of a dam
shown in the figure.
Its base is hinged and
the vertex is attached
to a cylindrical buoy
whose weight is 100
lb. The external
diameter of the buoy 12.8 ft
is 4 ft and the weight
of the gate is 200 lb.
The mechanism is
such that the buoy
will open the gate if
water surface will
rise higher than 12.8
ft. What is the height
of the cylinder below
the water surface.
Answer:5.73 ft
4 ft
0.6
0.8
+
a ft
6 ft

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Step 2: Determine the angle at which the gate is inclined with the horizontal:

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Step 3: Calculate the total hydrostatic force acting over the gate and its point of acting:

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Step 4: Determine the magnitude of the reaction force on gate:

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Step 5: Calculate the height of the cylinder below the water surface:

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