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Engineering and Tech / Engineering Mechanics: Combined Statics & Dynamics 12 / Chapter 9 / Problem 9116

Engineering Mechanics: Combined Statics & Dynamics | 12th Edition | ISBN: 9780138149291 | Authors: Russell C. Hibbeler

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If the mass of the counterweight at A is 6500 kg, determine the force the gate exerts on

Chapter 9, Problem 9116

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QUESTION:

If the mass of the counterweight at A is 6500 kg, determine the force the gate exerts on the smooth stop at C. The gate is hinged at B and is 1-m wide. The density of water is rw = 1 Mg>m3.

Questions & Answers

QUESTION:

If the mass of the counterweight at A is 6500 kg, determine the force the gate exerts on the smooth stop at C. The gate is hinged at B and is 1-m wide. The density of water is rw = 1 Mg>m3.

ANSWER:

Problem 9-116

If the mass of the counterweight at A is , determine the force the gate exerts on the smooth stop at C. The gate is hinged at B and is wide. The density of water is .

Step by step solution

Step 1 of 3

The mass is .

The hinged distance is .

The density is .

The following is the reaction diagram of the gate.

The expression of water pressure can be given as:

For, , , and .

Therefore,

The expression of water pressure can be given as:

For, , , , and .

Therefore,

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