The plane region A is submerged in a fluid of weight density γ . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R = γ Q a and h = I a / Q a , where Q a and I a are the first and second moments of A about the axis a - a .
The plane region A is submerged in a fluid of weight density γ . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R = γ Q a and h = I a / Q a , where Q a and I a are the first and second moments of A about the axis a - a .
Solution Summary: The author explains that R=gamma Q_a and h=
The plane region A is submerged in a fluid of weight density
γ
.
The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that
R
=
γ
Q
a
and
h
=
I
a
/
Q
a
,
where
Q
a
and
I
a
are the first and second moments of A about the axis a-a.
Air in the accompanying piston-cylinder device is in equilibrium at 190 oC.The mass of the hanging weight is 13kg.Atmospheric pressure is 100 kPA,and the piston diameter is 10cm.Determine the pressure of air inside.Assume g=9.81 m/s2.
Déterminer la différence de pression Pa-Pb pour D1=330mm D2=160mm d3=480mm D4=230mm. Le poids spécifique de l'air est négligeable. Le poids spécifique de eau=9790N/m3Determine the pressure difference pa-pb for d1=330mm d2 =160mm d3=480mm d4=230mDetermine the hydrostatic force exerted on the door AB of dimensions (1m and 0.9m wide) and its point of application Q (distance between A and Q). the specific weight of water is 9790N/m3 and the density of the oil is 0.82m. the specific weight of air is negligible. the specific weight of water is 9790N/m3.
The uniform lamina of density 2.2 kg/m2. for a=2.2 m,b=4.8 m,c=8 m,d=8.9 m
1-The x-co-ordinate of total area centroid is: (a.8.27 - b.13.17 - c.7.05 - d.8.88 - e.6.13)
2- The y-co-ordinate of total area centroid is: (a.1.96 - b.2.68 - c.3.04 - d.1.61 - e.3.57)
3- The total mass is : ( a. 163.00 - b. 326.00 - c. 244.50 - d. 81.50 - e. 40.75 )
Chapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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