For the hydraulic system shown, the left piston carries a 600 kg load and has area 800 cm². The right piston has area 25 cm² and negligible mass. The oil density is 0.75 g cm⁻³ and the right piston is 8 m above the left piston. Find the downward force F required for equilibrium. Image
Physics · Fluid Mechanics
JEE Mains Advanced

Question

For the hydraulic system shown, the left piston carries a 600 kg load and has area 800 cm². The right piston has area 25 cm² and negligible mass. The oil density is 0.75 g cm⁻³ and the right piston is 8 m above the left piston. Find the downward force F required for equilibrium. Image

Physics · Fluid Mechanics

G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives 37.5. Final answer: 37.5.