1. A container consists of two vertical cylindricalcolumns of different diameter

Question

1.   A container consists of two vertical cylindricalcolumns of different diameter connected by a narrow horizontalsection, as shown in Figure 13.6. The open faces of the two columnsare closed by very light plates that can move up and down withoutfriction. The tube diameter at A is 35.0 cm and that atB is 10.2 cm. This container is filled with oil of density0.820 g/cm3. If a 125 kg object is placed on the largerplate at A, how much mass should be placed on the plate atB to balance it?

Explanation / Answer

We know that               P = F / A So we have             Fa / Aa = Fb / Ab ==> ma g /ra2 = mb g / r2b ==> ma / ra2 =mb / r2b ==> mar2b / ra2 =mb ==> mb = 125 ( 5.1/ 17.5)2                = 10.61 kg

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