Page 435 - Introduction to Continuum Mechanics

Problems 419

PROBLEMS

Fig.P6.1

Fig.P6.3

Fig.P6.4
Fig.P6.2

6.1. In Fig.P6.1, the gate AB is rectangular, 60 cm wide and 4 m long. The gate is hinged at the
upper edge A Neglect the weight of the gate, find the reactional force at B. Take the specific
3 3
weight of water to be 9800 N/ m (62.4 lb/ft )
6.2. The gat&AB in Fig.P6.2 is 5 m long and 3 m wide. Neglect the weight of the gate, compute
the water level h for which the gate will start to fall.
63. The liquids in the U-tube shown in Fig.P6.3 is in equilibrium. Find h^ as a function of
an
Pi'P2»P3» hi d ^3- The liquids are immiscible.
6.4. Referring to Fig.P6.4, (a) Find the buoyancy force on the cylinder and (b) find the resultant
force on the cylindrical surface due to the water pressure. The centroid of a semi-circular area
is 4r/3n from the diameter, where r is the radius.