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A particle is projected from the origin with speed u in a direction making an angle α with the horizontal. The motion takes place in the (x,z)-plane, where Oz points vertically upwards.
If the projection speed u is fixed, show that the particle can be made to pass through the point (a, b) for some choice of α if (a, b) lies below the parabola
z = (u2/2g) (1 - (g2x2/u4))
This is called the parabola of safety. Points above the parabola are ‘safe' from the projectile. An artillery shell explodes on the ground throwing shrapnel in all directions with speeds of up to 30 m s-1. A man is standing at an open window 20 m above the ground in a building 60 m from the blast. Is he safe? [Take g = 10 m s-2.]
Evaluate the maximum theoretical power that can be developed by the turbine, in kW, and the corresponding exit temperature.
After the collision, puckA has a velocity of 0.12 m/s to the left (-x-direction),and puck B has a velocity of 0.65 m/s to the right (+x-direction). What was the speed of the puck A before the collision?
a for a rectangular coordinate system we developed the navier stokes equation for vx. now reduce that equation to
A piston-cylinder assembly contains 2 lbm of water, initially at 100 lbf/in.2 and 400o F. The water undergoes two processes in series: a constant pressure process followed by a constant volume process. At the end of the constant volume process, the t..
another guide recommends 12700 lbhr water flowrate through 2 pipe and says that this will give 16 water friction
a closed well insulated tank contains 10 kg of air at 300 k. an electric motor drives a propeller inside the tank
A cheap radial-vaned centrifugal fan is required to provide a supply of pressurized air to a furnace. The specification requires that the fan produce a total pressure rise equivalent to 7.5 cm of water at a volume flow rate of 0.2 m3 /s.
draw and dimension the bar diagram for a 3 38 in. shaft with a class 3 fit. draw and dimension a typical hole and shaft
all of the members of the 4-member frame shown have rectangular cross-sections 2 in. wide by frac12 in. thick. all pins
Find (a) the angular acceleration, (b) the time taken for the speed to increase, (c) the work done, (d) the average power developed, (e) the maximum power developed.
the saturated water vapor contained in a closed rigid tank has a mass of 2000 kg. the water vapor is cooled down from
Calculate the principal stresses at points A and B for the bracket shown. P=9000 lb and θ=30°. The bracket is 1 in. thick.
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