Question

A 5 m high, 5 m wide rectangular plate blocks the end of a 4 m deep fresh water channel as shown in Figure Q3. The plate is hinged about point A and is restrained from opening by the ridge at point B. Figure Q3 (a) Determine the equivalent single force acting on the gate due to the water. (5 marks) (b) Determine the height from the surface of the centre of pressure. (10 marks) (c) Determine the forces exerted on the plate by the hinge at A and the ridge at B. (10 marks)

          A 5 m high, 5 m wide rectangular plate blocks the end of a 4 m deep fresh water channel as shown in Figure Q3. The plate is hinged about point A and is restrained from opening by the ridge at point B.

Figure Q3

(a) Determine the equivalent single force acting on the gate due to the water. (5 marks)
(b) Determine the height from the surface of the centre of pressure. (10 marks)
(c) Determine the forces exerted on the plate by the hinge at A and the ridge at B. (10 marks)

A 5 m high, 5 m wide rectangular plate blocks the end of a 4 m deep fresh water channel as shown in Figure Q3. The plate is hinged about point A and is restrained from opening by the ridge at point B.

Figure Q3

(a) Determine the equivalent single force acting on the gate due to the water. (5 marks)
(b) Determine the height from the surface of the centre of pressure. (10 marks)
(c) Determine the forces exerted on the plate by the hinge at A and the ridge at B. (10 marks)

Added by Tara N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

09/05/2022

Step 1

The equivalent single force acting on the gate due to the water: The pressure at any point in a fluid at rest is given by the equation P = ρgh, where ρ is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid above the point. Show more…

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A 5 m high, 5 m wide rectangular plate blocks the end of a 4 m deep fresh water channel as shown in Figure Q3. The plate is hinged about point A and is restrained from opening by the ridge at point B. Figure Q3 (a) Determine the equivalent single force acting on the gate due to the water. (5 marks) (b) Determine the height from the surface of the centre of pressure. (10 marks) (c) Determine the forces exerted on the plate by the hinge at A and the ridge at B. (10 marks)