A hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil of density po and closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A powdered sample large static piston frame Fo hinge 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 L from the small piston, and a force of magnitude Fo is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass. lever 5d oil small piston Figure 5 a- Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position.

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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 p, and closed by
two pistons. The small chamber on the
right has diameter d and the large
powdered
sample large
static
frame
piston
chamber on the left has diameter 5d. A
Fo
hinge
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 L from the small piston, and a
force of magnitude Fo is applied vertically
down at distance 2L from the hinge
(Fig.5). You may assume that the lever and
pistons have negligible mass.
lever
5d
L
oil
small
piston
Figure 5
a- Determine the magnitude of the force Fin that the small piston exerts on the fluid in the
small cylinder. Hint: you may consider that the lever is at rest in the horizontal position.
b- Determine the pressure change applied to the fluid by the small piston.
Transcribed Image Text:A hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil of density p, and closed by two pistons. The small chamber on the right has diameter d and the large powdered sample large static frame piston chamber on the left has diameter 5d. A Fo hinge 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 L from the small piston, and a force of magnitude Fo is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass. lever 5d L oil small piston Figure 5 a- Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position. b- Determine the pressure change applied to the fluid by the small piston.
c- Determine the magnitude Fout of the force that the fluid applies to the large piston.
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.
d- Determine the magnitude of the normal force exerted on the fragment of metal by the
bottom of the oil chamber.
11
Transcribed Image Text:c- Determine the magnitude Fout of the force that the fluid applies to the large piston. 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. d- Determine the magnitude of the normal force exerted on the fragment of metal by the bottom of the oil chamber. 11
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