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1.A 1-m diameter cylindrical mass, M, is connected to a 2-m widerectangular gate. The gate is to open when the water level,h, drops below 2.5 m. Determine the required value forM. Negate friction at the gate hinge and the pulley.
2.If the man at B exerts a force of P = 30 lb on his rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e., so the resultant moment about A of both forces is zero. Please work this out step by step so I can look at the steps and learn how to do this problem and ones similar to them.
3.A 4-ft tall, 8-in wide concrete (150lb/ft3) retainingwall is built. During a heavy rain, water fills the spacebetween the wall and the earth behind it to a depth, h. Determine the maximum depth of water possible without the walltipping over. The wall simply rests on the ground without being anchored to it.
find the unknown quantity in each of the following, using the standard series equivalence formulas and tables in the Appendix. Give preference to the approach yielding the fewest computational steps.
A person of mass 80kg places all their weight on the pedal of a foot operated hydraulic jack. The diameter of the hydraulic cylinder under foot pedal is 4cm and the diameter of the jack cyclinder is 9cm (Assume g is 9.81 m/s^2)
An unknown immiscible liquid seeps into the bottom of an openoil tank. Some measurements indicate that the depth of theunkown liquid is 1.5m and the depth of the oil ( specific weight =8.5
As a project manager on site where work for 3 km long tunnel has been undertaken the site is remote and takes about 2 days to travel to nearest town supervisors technicians and skiled workers in dangerous work.
A reaction of great significant for undergraduate students is the fermentation of sugar with yeast. This is a zero order (in sugar) reaction, where the yeast is a catalyst (it does not enter into the reaction itself).
A catheter is a specialised needle intended for long-term insertion into a vein in a patient's arm. Engineers are redesigning them to cause less discomfort and damage. An intravenous chemotherapy system is based on a new catheter design.
the long-term average january precipitation in the colorado river basin is 1.11 inches with a standard deviation of
A commuter train has stations spaced 1 mi apart. The top speed of the train is 80 mph. The train accelerates at 5.5ft/sec2 and decelerates at 4.5 ft/sec2. It dwells at the platform for 20 sec to pick up passengers.
A 200lb homogeneous gate of 10ft width and 5ft length is hinged at point A and held in place by 12ft long brace as the bottom of the brace is moved to the right the water level remains at the top of the gate.
A solid one-way slab is to be used for a framing system Column spacing is 33 ft, with regularly spaced beams occurring at 11 ft center to center. Superimposed dead load on the structure is 50 psf and the live load is 75 psf.
where u(t) is in vehicles per minute and t is in minutes. When will the queue clear?
How much will be in a high-yield account at the National Bank of Arizona 12 years from now if you deposit $5000 now and $7000 fi ve years from now. The account earns interest at a rate of 8% per year, compounded quarterly
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