Chapter 9, Problem 16P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Piston ① in Figure P9.16 has a diameter of 0.25 in.; piston ② has a diameter of 1.5 in. In the absence of friction, determine the force F → necessary to support the 500-lb weight. Figure P9.16

To determine
The force F that necessary to support the 500lb weight.

Explanation
At first, the force in the piston 1 by using Pascalâ€™s principle as follows F1/A1=F2/A2â‡’F1=A1F2/A2 . It can be written as F1=(Ï€d12/4Ï€d22/4)F2=(d12/d22)F2 . The condition of static torque that passing through the left end of the jack handle, perpendicular to the page such that âˆ‘Ï„=0 will yield +F1l1âˆ’Fl2=0â‡’F=(l1/l2)F1=(l1/l2)(d12/d22)F2 .

Given info: Diameters of pistons 1 and 2 are 0.25â€‰in and 1.5â€‰in , the weight of the object is 500â€‰lb , and the lengths are 12â€‰in and 2.0â€‰in

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