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find the angle the surface tension film leaves the glass for a vertical tube immersed in water if the diameter is 0.25 inch and the capillary rise is 0.08 inch. use δ=0.005 lb/ft.


two clean parallel glass plate, separated by a distance d=1.5 mm, are dipped in a bath of water. how far does the water rise due to capillary action, if δ=0.0730 N/m?


a square block weighing 1.1kn and 250 mm on an edge slides down an incline on a film of foil 6.0μm thick. assuming a linear velocity profile in the oil and neglecting air resistance, what is the terminal velocity of the block? the viscosity of oil is 7 Mpa-s angle of inclination to 20°.

(a) if 12m³ of nitrogen at 30°c and 125kpa abs is permitted to expand isothermally to 30m³, what is the resulting pressure?

(b) what would the pressure and temperature have been if the process had been isentropic?



air is kept at a pressure of 200kpa and a temperature of 30°c in a 500-l container. what is the mass of the air?


calculate the density of water vapor at 350kpa abs and 20°c if its gas constant is 0.462kpa-m³/kg-°k.


what would be the weight of 13kg mass on a planet where the acceleration due to gravity is 10m/s²?


3. The population of growth of a certain colony of mosquitoes follows the uninhabited growth

equation. If there are 1500 mosquitoes initally, and there are 2500 muoquitoes after 24 hours, what is the size of the mosquito population after 3 days?


A circuit has an impedance 𝑍 = 5(1 + 𝑗𝑤)(3 + 𝑗𝑤) 𝑗𝑤(2 + 𝑗𝑤) Ω Find the resistance, reactance, conductance and susceptance at w = 1 rad/s. If the time domain voltage applied to the circuit is 20 cos t V, find the steady-state current.  


Listed below is a combination of stresses acting at a point and referred to axes x and y in an elastic material. Using Mohr’s circle of stress determine the principal stresses at the point and their directions for each combination. 



i) sigma x=-60 N/mm^2, sigma y=-36N/mm^2, shear stress (xy) =5N/mm^2



ii) sigma x=30 N/mm^2, sigma y=-50N/mm^2, shear stress (xy) =30N/mm^2




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