1. A gate as shown in the figure is 1.6m wide and 1 m high. Its top is supported by a hinge and a stopper at the bottom. If the stopper can only resist a maximum of 40KN, calculate the maximum height of water on one side of the gate without breaking the stopper. Calculate also the location of the hydrostatic force trom the hinge. cea water (sg-1.03 5m h=? Hinge 2m Hnge 3m Figure 2 Fig 1 stopper 2. The gate in the figure shown is 2m wide, hinged at poit A and rest against a smooth wall at B. Compute the total hydrostatic force and the reaction at B. 3. A vertical triangular gate is 2,8m wide at the bottom and 3.6m high. Its upper vertex is attached to a hinge. It is subjected to a water pressure on one side in which water stands 1.2m below the hinge. Calculate the following a) The total hydrostatic force acting on the gate. b) The location of ep from the hinge.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Solve the following problems.
1. A gate as shown in the figure is 1.5m wide and 1 m high. Its top is supported by a hinge and a
stopper at the bottom. If the stopper can only resist a maximum of 40kN, calculate the maximum
height of water on one side of the gate without breaking the stopper. Calculate also the location
of the hydrostatic force trom the hinge.
sea water (sg-1.03|
5m
h= ?
Hinge
Gate
2m
Hinge
3m
Figure 2
Fig 1
stopper
2. The gate in the figure shown is 2m wide, hinged at poit A and rest against a smooth
wall at B. Compute the total hydrostatic force and the reaction at B.
3. A vertical triangular gate is 2,8m wide at the bottom and 3.6m high. Its upper vertex is
attached to a hinge. It is subjected to a water pressure on one side in which water
stands 1.2m below the hinge. Calculate the following
a) The total hydrostatic force acting on the gate.
b) The location of cp from the hinge.
Transcribed Image Text:Solve the following problems. 1. A gate as shown in the figure is 1.5m wide and 1 m high. Its top is supported by a hinge and a stopper at the bottom. If the stopper can only resist a maximum of 40kN, calculate the maximum height of water on one side of the gate without breaking the stopper. Calculate also the location of the hydrostatic force trom the hinge. sea water (sg-1.03| 5m h= ? Hinge Gate 2m Hinge 3m Figure 2 Fig 1 stopper 2. The gate in the figure shown is 2m wide, hinged at poit A and rest against a smooth wall at B. Compute the total hydrostatic force and the reaction at B. 3. A vertical triangular gate is 2,8m wide at the bottom and 3.6m high. Its upper vertex is attached to a hinge. It is subjected to a water pressure on one side in which water stands 1.2m below the hinge. Calculate the following a) The total hydrostatic force acting on the gate. b) The location of cp from the hinge.
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