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- [Stability] A 10-cm by 10-cm wood (sg = 0.65) with a length of 2 m is placed in water. Determine the weight of steel ( = 78.5 kN/m3) that must be fastened at one end of the wood such that the wood will stay upright with 0.5 m is above the water surface. Find the: weight of steel=__________ NA square gate (AB) mass (200 kg), resting on smooth bottom (B) and hinge at (A). For what water depth (h) will be the force at point (B) equal to zero? (Answer with sketch, See Fig.4)A trapezoidal plate measuring 2m at top edge and 3m at the bottom edge is immersed in water with the plan making an angle of 30 0 to the free surface of water. The top and the bottom edges lie at 1m and 2m respectively from the surface. Determine the hydrostatic force on the plate
- A piece of cork having a specific weight of 2.36 kN/m is shaped as shown in Fig. 5.32. (a) To what depth will it sink in turpentine (sg = 0.87) if placed in the orientation shown? (b) Is it stable in this position?A rectangular gate 5 m × 3 m is hinged at its base A and inclined at 60 degree to the horizontal as shown in the figure. To keep the gate in a stable position a counter weight (W) of 5000 kg is attached at the upper end of the gate. Find the depth of water at which the gate begins to fall. The weight of the gate is 2000 kg. Neglect the friction at the hinge and pulleyA 0.5 m diameter cylinder, 1.22 m long is submerged in the water as shown in the figure. The cylinder weights 500N & it floats with its vertical axis. An anchor with the specific weight equal to 23.55 is attached to the lower end. Determine the weight of the anchor.
- End D of a 2.5 long uniformly plain wooden rod( s.g=0.7) is held 0.3m below the surface of still water. (a.) How much of the rod remains above the water surface? (b.) if the rod diameter is 25mm what force of D is required to hold it in place ?6-m-wide rectangular gate shown is hinged at B and leans against the floor at A making an angle of 45° with the horizontal The gate is to be opened from its lower edge by applying a normal force at its center. Determine the minimum force F required to open the water gate.A cylindrical log has diameter of 450 mm and length of 6.75 m. When the log is floating in fresh water with its long axis horizontal, 110 mm of its diameter is above the surface. What is the specific weight of the wood in the log?
- A cubical buoy (2 m each side) weighs 687N and is anchored to the sea floor with a cable. The buoy normally floats on the surface. At certain times the water depth increases so that the buoy is completely immersed as shown in the figure. For this condition, what is the tension of the cable?The 600-lb, 20ft-wide rectangular gate shown is hinged at B and leans against the floor at A making an angle of 45° with the horizontal. The gate is to be opened from its lower edge by applying a normal force P at its center. What is the hydrostatic force using panel equation, and find the min force required to open a gate (Kips)An open rectangular tank 1 m wide and 2 m long contains gasoline to a depth of 1 m. If the height of the tank sides is 1.5 m, and if it slides down a frictionless plane that is inclined at 300 with the horizontal, determine the angle the free surface makes with the horizontal. Ans. The free surface is the same as the angle.