10. (II/III) A trough has a length of 5 m and semicircular ends of radius 0.5 m. It is made of sheet metal whose area density is 20 kg/m². a. (II) Find the mass mrough and the height yem, trough (measured from the bottom) of the centre of mass of the tank. b. (II) If the trough is partially filled with water to a depth of 0.25 m, find the mass and the height ycm, water (measured from the bottom) of the centre of mass of m. water the water. Assume that the density of water is 1000 kg/m³. c. (II) Find the height yem of the combined centre of mass (tank and water filled to a cm

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.90P: The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of...
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10. (II/III) A trough has a length of 5 m
and semicircular ends of radius 0.5 m.
It is made of sheet metal whose area
density is 20 kg/m².
a. (II) Find the mass mrough
and
the height y.
m trouch (measured from the bottom) of the centre of mass of the tank.
b. (II) If the trough is partially filled with water to a depth of 0.25 m, find the mass
m. and the height yem, water
(measured from the bottom) of the centre of mass of
'water
the water. Assume that the density of water is 1000 kg/m³.
c. (II) Find the height ym of the combined centre of mass (tank and water filled to a
depth of 0.25 m).
Transcribed Image Text:10. (II/III) A trough has a length of 5 m and semicircular ends of radius 0.5 m. It is made of sheet metal whose area density is 20 kg/m². a. (II) Find the mass mrough and the height y. m trouch (measured from the bottom) of the centre of mass of the tank. b. (II) If the trough is partially filled with water to a depth of 0.25 m, find the mass m. and the height yem, water (measured from the bottom) of the centre of mass of 'water the water. Assume that the density of water is 1000 kg/m³. c. (II) Find the height ym of the combined centre of mass (tank and water filled to a depth of 0.25 m).
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