Question

Two cylindrical vessels fitted with pistons A and B of area of cross section 8 cm^2 and 320 cm^2 respectively, are joined at their bottom by a tube and they are completely filled with water. When a mass of 4kg is placed on piston A, find pressure on piston A and piston B and also the thrust on piston B.

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Answer 1

l

Let E be the effort applied on the smaller piston A and L be the load required on the larger piston B.

Area of cross section of pistion A=8cm

2

Area of cross section of pistion A=320cm

2

(i) Pressure acting on piston A in the downward direction =Thrust/Area=E/8=4/8=0.5

∴Pressure acting on water =E/8=0.5 (according to Pascal's Law)

(ii) ∴ Pressure acting on piston B=E/8=0.5 (according to Pascal's Law)

(iii) Thrust acting on piston B in the upward direction =Pressure ×Area ofB

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