PLEASE SHOW where and how w and Fh value found.

Question 2 (20 pts). The device shown in the sketch is developed to measure the hydrostatic force on the flat face of the circular-arc block and compare it with the theoretical value for given depth h. The counterweight is arranged so that the pivot arm is horizontal when the block is not submerged, hence the weight W can be correlated with the hydrostatic force when the submerged arm is again brought to horizontal. (a) (10 pts) Sketch the hydrostatic pressure distribution on the submerged arc block (both on curved and flat surfaces). Make your sketch clear. Be careful with the length and the direction of the arrows. Then draw the free-body diagram of the pivot arm combined with the circular-arc block to show all relevant forces. Explain how, in principle, the device should work. (b) (10 pts) Derive a formula for W as a function of h in terms of the given parameters. Choose one number for each parameter from the list given below and write down your choices on your solution sheet clearly. Then determine the theoretical hydrostatic force on the flat face of the circular-arc block and the required W to make the pivot arm horizontal. The fluid used is water. Use any number given for each parameter below: L (cm)=27, 28, 29, 31, 33, 34, 35, 36, 37, 38 R (cm)= 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 Y (cm)= 8.5, 9.5, 10.4, 11.5, 12.5, 14.3, 15.1, 15.5 h (cm)=6.5, 6.8, 7, 8.5, 10.5, 12.2, 12.8, 13.6, 15.5, 17 b (cm)= 7.1, 7.2, 7.4, 7.6, 7.8, 7.9, 8.1, 8.3, 8.4, 8.6

Question 2 (20 pts). The device shown in the sketch is developed to measure the hydrostatic force on the flat face of the circular-arc block and compare it with the theoretical value for given depth h. The counterweight is arranged so that the pivot arm is horizontal when the block is not submerged, hence the weight W can be correlated with the hydrostatic force when the submerged arm is again brought to horizontal. Counterweight W Pivot Pivot arm R Side view of block face Fluid: P Y Circular arc block (a) (10 pts) Sketch the hydrostatic pressure distribution on the submerged arc block (both on curved and flat surfaces). Make your sketch clear. Be careful with the length and the direction of the arrows. Then draw the free-body diagram of the pivot arm combined with the circular-arc block to show all relevant forces. Explain how, in principle, the device should work. (b) (10 pts) Derive a formula for W as a function of h in terms of the given parameters. Choose one number for each parameter from the list given below and write down your choices on your solution sheet clearly. Then determine the theoretical hydrostatic force on the flat face of the circular-arc block and the required W to make the pivot arm horizontal. The fluid used is water. Use any number given for each parameter below: L (cm)=27, 28, 29, 31, 33, 34, 35, 36, 37, 38 R (cm)= 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 Y (cm)= 8.5, 9.5, 10.4, 11.5, 12.5, 14.3, 15.1, 15.5 h (cm)=6.5, 6.8, 7, 8.5, 10.5, 12.2, 12.8, 13.6, 15.5, 17 b (cm)= 7.1, 7.2, 7.4, 7.6, 7.8, 7.9, 8.1, 8.3, 8.4, 8.6