A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is held in place by the force F as indicated in the figure. The weight of the gate is negligible, and the hinge at O is frictionless. (a) Determine the water depth, h, if the resultant hydrostatic force of the water acts 2.5 ft above the bottom of the gate ,i.e., it is collinear with the applied force F. (b) For the depth of part (a), determine the magnitude of the resultant hydrostatic force. (c) Determine the force that the hinge puts on the gate under the above conditions.

Calculate the density it will have in any ideal gas state : List the densities in solid, liquid and gaseous state. Also compare the densities for each of them and calculate the density it will have in any ideal gas state. |

Determine the force and the distance : A 2.6-kg sphere of radius 35 cm is initially rolling on a flat surface with a speed of v = 0.40 m/s. Determine the force F and the distance l |

Determine the allowable value of the tensile load p : A steel bar serving as a vertical hanger to support heavy machinery in a factory is attached to a support by the bolted connection. The main part of the hanger has a rectangular cross section with width b1 = 1.5 in. and thickness t = 0.5 in. |

What is the share price if the plowback ratio : What is share price if the plowback ratio is 0.5? What is the share price if the plowback ratio is 0? Explain the reasons for the difference in your two answers. |

Determine the force that the hinge puts on the gate : A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is held in place by the force F as indicated in the figure. The weight of the gate is negligible, and the hinge at O is frictionless. |

What is the maximum speed attained by the person : A person bounces up and down on a trampoline, while always staying in contact with it. What is the maximum speed attained by the person |

Find the optimal solution by using the graphical solution : Find the optimal solution by using the graphical solution technique and what is the value of the objective function? What are the values of all variables? |

What are the main differences between equity and bond : How do you justify the fact that share value is determined by PV of all future dividends but most investors don't need to hold the share forever to profit from such investment? |

What tensional force now acts on the bar through the cable : a stel cable is used to keep a 2 m long 10 kg bar horizontal. one end of the bar is mounted to a wall. what tensional force now acts on the bar through the cable |

## Determine the magnitudes of the velocity v and accelerationA particle which moves in two-dimensional motion has coordinates given in inches by x=t^2-4t+20 and y=3sin2t, where the time t is in seconds. Determine the magnitudes of the velocity v and the acceleration a and the angle between these two vectors.. |

## Describe what are the different dimensionless groupsWhat are the different dimensionless groups that describe a golf ball. A golf ball has two velocities, a spin velocity and a forward velocity. |

## What is the efficiency of the deviceIf a mechanical device requires 450J of work to do 310J of work in lifting what is the efficiency of the device? |

## What average force was exerted on the ballAfter falling from rest from a height of 32 m, a 0.45 kg ball rebounds upward, reaching a height of 22 m. If the contact between ball and ground lasted 1.5 ms, what average force was exerted on the ball? |

## Determine how many lamps are required for a peak flowA membrane biological treatment plant effluent must be disinfected to what level prior for use as unrestricted recycled water. For a flow of 4 mgd and peak flow of 6 mgd, how many lamps are required |

## Determine the fraction of h at ph 6 and ph 8Hydrogen sulfide (H2S) is an odorous gas that can be stripped from solution by gas stripping. The efficiency of the process will strongly depend on the pH of the solution. The equilibrium reaction is: in a pocess similar to ammonia. |

## Calculate the forces exerted by the water on the bendWater flows through a horizotal 45 deg reducing bend with a 36 inch. diameter upstream and a 24 inch diameter downstream, at the rate of 20 cfs under a pressure of 15 psi at the upstream end of the bend. Neglecting head loss in the bend, calculate.. |

## Determining the crest and sag vertical curvesDetermine, for the crest and sag vertical curves required, the stationing and elevation of the PVCs and PVTs given that the PVC of the crest curve(on westernmost level highway section) is at station 0+00 and elevation 100 ft. |

## Average shearing stressTwo strips of a plastics material are bonded together as shown. The average shearing stress in the glue must be limited to 1000 kpa. |

## Determine the force developed in the linkThe coefficients of kinetic friction between the blocks and the inclined plane are a=0.1,b=0.3. Neglect the mass of the link. Angle between the inclined plane and the surface is 30 degree. |

## What is the average velocityhydrogen is flowing in a 50 mm diameter pipe at a mass rate of 0.01 kg/s. at section 1 the pressure is 280 kPa abs and t= 25 . what is the average velocity? |

## Determine the value of podetermine the value of Po, as a funciton of H, for these two investment alternatives to be equivalent at an interest rate of i=15% per year. |

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