A hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil of density  and closed by two pistons. The small chamber on the right has diameter dand the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance Lfrom the small piston, and a forceof magnitude F0 is applied vertically down at distance 2Lfrom the hinge(Fig.5).You may assume that the lever and pistons have negligible mass. a)  Determine the pressure change applied to the fluid by the small piston. b) Determine the magnitude F out of the force that the fluid applies to the large piston. c)  A fragment of the metallic frame of dentity pm(pm>  po ) and volume V accidentally fell into the oil chamber and is sitting at the bottom. Determine the magnitude of the normal force exerted on the fragment of metal by the bottom of the oil chamber

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil of density  and closed by two pistons. The small chamber on the right has diameter dand the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance Lfrom the small piston, and a forceof magnitude F0 is applied vertically down at distance 2Lfrom the hinge(Fig.5).You may assume that the lever and pistons have negligible mass.

a)  Determine the pressure change applied to the fluid by the small piston.

b) Determine the magnitude F out of the force that the fluid applies to the large piston.

c)  A fragment of the metallic frame of dentity pm(pm>  po ) and volume V accidentally fell into the oil chamber and is sitting at the bottom. Determine the magnitude of the normal force exerted on the fragment of metal by the bottom of the oil chamber.

powdered
sample large
static
piston
frame
Fo
hinge
lever
5d
oil
small
piston
Figure 5
Transcribed Image Text:powdered sample large static piston frame Fo hinge lever 5d oil small piston Figure 5
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