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A flak consisting of a cope and drag has the following dimensional, length 300 mm,width 200 mm and total depth 200 mm (cope height 50 mm). A 150 mm x 100 m x 50 mm cast iron block is to be cast. If the specific weight of cast iron is 78 kN/m² and that of the mould sand 16 kN/m³, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid sand interface and additional weight to be kept on the cope.?
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A flak consisting of a cope and drag has the following dimensional, le...
Buoyant Force and Weight of Sand in the Cope

Buoyant Force:
The buoyant force on the cope is equal to the weight of the displaced liquid. As the specific weight of the mould sand is given to be 16 kN/m³, the buoyant force on the cope can be calculated as follows:

Buoyant Force = Volume of Sand in Cope x Specific Weight of Sand
Volume of Sand in Cope = Length x Width x Cope Height
Volume of Sand in Cope = 300 mm x 200 mm x 50 mm = 3 m³
Buoyant Force = 3 m³ x 16 kN/m³ = 48 kN

Therefore, the buoyant force on the cope is 48 kN.

Weight of Sand in the Cope:
The weight of sand in the cope can be calculated as follows:

Weight of Sand in Cope = Volume of Sand in Cope x Specific Weight of Sand
Weight of Sand in Cope = 3 m³ x 16 kN/m³ = 48 kN

Therefore, the weight of sand in the cope is 48 kN.

Net Force at the Liquid Sand Interface

The net force at the liquid sand interface can be calculated as follows:

Net Force = Weight of Cast Iron Block – Buoyant Force – Weight of Sand in Cope
Weight of Cast Iron Block = Length x Width x Height x Specific Weight of Cast Iron
Weight of Cast Iron Block = 150 mm x 100 mm x 50 mm x 78 kN/m³ = 5.85 kN
Net Force = 5.85 kN – 48 kN – 48 kN = - 90 kN

Therefore, the net force at the liquid sand interface is - 90 kN. The negative sign indicates that the force is acting downwards.

Additional Weight on the Cope

To counteract the net force acting downwards, an additional weight needs to be placed on the cope. The additional weight can be calculated as follows:

Additional Weight on Cope = Net Force x Area of Cope
Area of Cope = Length x Width
Area of Cope = 300 mm x 200 mm = 0.06 m²
Additional Weight on Cope = -90 kN x 0.06 m² = - 5.4 kN

Therefore, an additional weight of 5.4 kN needs to be placed on the cope to counteract the net force acting downwards.
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A flak consisting of a cope and drag has the following dimensional, length 300 mm,width 200 mm and total depth 200 mm (cope height 50 mm). A 150 mm x 100 m x 50 mm cast iron block is to be cast. If the specific weight of cast iron is 78 kN/m² and that of the mould sand 16 kN/m³, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid sand interface and additional weight to be kept on the cope.?
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A flak consisting of a cope and drag has the following dimensional, length 300 mm,width 200 mm and total depth 200 mm (cope height 50 mm). A 150 mm x 100 m x 50 mm cast iron block is to be cast. If the specific weight of cast iron is 78 kN/m² and that of the mould sand 16 kN/m³, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid sand interface and additional weight to be kept on the cope.? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A flak consisting of a cope and drag has the following dimensional, length 300 mm,width 200 mm and total depth 200 mm (cope height 50 mm). A 150 mm x 100 m x 50 mm cast iron block is to be cast. If the specific weight of cast iron is 78 kN/m² and that of the mould sand 16 kN/m³, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid sand interface and additional weight to be kept on the cope.? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flak consisting of a cope and drag has the following dimensional, length 300 mm,width 200 mm and total depth 200 mm (cope height 50 mm). A 150 mm x 100 m x 50 mm cast iron block is to be cast. If the specific weight of cast iron is 78 kN/m² and that of the mould sand 16 kN/m³, find lifting force on the cope created by buoyant force, weight of sand in the cope, the net force at the liquid sand interface and additional weight to be kept on the cope.?.
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