Consider a hydraulic jack being used in a car repair shop, as in Fig. P3–59. The pistons have an area of A₁ = 0.8 cm² and A₂ = 0.04 m². Hydraulic oil with a specific gravity of 0.870 is pumped in as the small piston on the left side is pushed up and down, slowly raising the larger piston on the right side. A car that weighs 13,000 N is to be jacked up. 

(a) At the beginning, when both pistons are at the same elevation (h = 0), calculate the force F₁ in newtons required to hold the weight of the car. 

(b) Repeat the calculation after the car has been lifted two meters (h = 2 m). Compare and discuss.

FIGURE P3–59

Transcribed Image Text:

A₁ F₁ A₂ Hydraulic oil SG = 0.870 F₂