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A movable cone fits inside a stationary conical depression. If a torque is applied to the cone, the cone will rotate at a certain speed depending on the angles θ and β, the radius r o, and the viscosity μ of the liquid. Derive an equation for the torque in terms if the other variables, including only the viscous resistance. Assume that θ is very small
compute the critical buckling load for a 2.5m timber column of full size square section 0.10m x 0.10m. The column has pinned ends(k=1). Assume the modulus of elasticity is 12Gpa and that the Euler formula applies
The dynamic viscosity of water at 20°C is 1.00 x 10-3 N-s/m2, and the viscosity at 40°C is 6.53 x 10-4 N-s/m2. Estimate the viscosity at 30°C.
After 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?
Laboratory analysis methodology to be used. Give details on the standard methods, instrument and detection limits. Standard methods for heavy metals analysis exist
A signal approach has 20 seconds of displayed green, 4 seconds of yellow, and 3 seconds of all red (assume typical start-up, lost time, and clearance time). The cycle length is 60 seconds.
One kilogram of air (which behaves as an ideal gas) in a piston-cylinder assembly is subjected to two separate processes from the same initial to the same final state: at the initial state the air has a volume of 1,000 L, a pressure of 10^5 N/m2,
The system is released from rest with no slack in the cable and the spring stretched 120 mm. The coefficient of kinetic friction between the 10 kg cart is 0.25 and the mass of block m is 6.3 kg.
What would the aperture have to be if there were two fractures of equal aperture. For your calculations you can assume that the rock matrix that contains the fracture(s) has zero hydraulic conductivity.
Water is flowing at a depth of 10 ft with a velocity of 10 ft/s in a channel of rectangular section. Find the depth and change in water surface elevation caused by a smooth upward step in the channel bottom of 1 ft.
A piston cylinder is initially at a state of 60c, 200kpa. Heat is added to the system from 500c reservoir until the final pressure is 400kpa. the mass of the air is 2kg, the spring constant is 1000kn/m and the cross sectional area of the piston is..
A concrete cylinder of height 8 inches and diameter of 4 inches was tested in the lab. The maximum compressive force was found to be 150,000 lbs and a tensile force of 25000 lbs.
Determine a set of rectangular beam design values (b),( d) and (As) area of steel, that will be needed to support a factored bending moment (Mu=450 Kip-ft). Use (f'c=4,500 psi) and (fy=40,000 psi).
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