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# GATE Mechanical 1991 Question

A falk consisting of a cope and drag has the following dimensions: length $300mm,$ width $200mm,$ and total septh $200mm$ (cope height $50mm$).
A $150mm\,\, \times \,100mm\,\, \times 50mm$ cast iron block is to be cast. If the specific weight of cast iron is $78\,\,kN/{m^3}$ and that of the mold sand $16\,\,kN/{m^3}$, 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.