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Solve Lagrange's equations for the top numerically and obtain the motions of the axis shown in given Figure. Use Euler's angles as coordinates and use computer assistance to obtain the equations as well as solve them.
[It seems easier not to use the conservation relations for pφ and pψ in their integrated form, since this requires the initial conditons to be incorporated into the equations of motion.]
Assume the datum is at the bottom of the silty sand layer. Plot gradient versus depth of piling and extrapo-late to find the exit gradient.
The lengths of the cab les are such that AB is vertical, BD is horizontal, BC is inclined by a small angle β to the vertical, and DE is inclined by a small angle f3 to the horizontal. The effective cross-sectional area of the cable is denoted Ac.
given the following data find the straight-line equation using the least square method.find the standard error.x 1 2 3
a square bar is made from 6061-t4 aluminum alloy. at 75 degrees f its length is 10.500 in. it is placed between rigid
in a design test of penetration resistance a 12-gram bullet is fired through a 400-mm stack of fibrous plates with an
refrigerant 134-a is contained in a 4 ft3 tank at 160 lpfin2. at the beginning the saturated vapour occupies a volume
The 1200-lb trunk has a cen- ter of gravity at G.The felling notch at Ois suf?- ciently large so that the resisting moment there is negligible.
the driveshaft of a buildings air-handling fan is turned at 300 rpm by a belt running on a 0.3- m-diameter pulley. the
Oil (p = 800 kg/m3 , u (mu) = 3.0 x 10^-3 kg/ms) is to be pumped at a rate of at least 6.3 x 10^-5 m3/s through hydraulically-smooth horizontal pipe with an equivalent length of 300 m. The pressure at the pipe inlet is 198 kPa (abs).
A large 3-phase, 4000 V, 60 Hz, squirrel-cage induction motor draws a current of 385 A and a total active power of 2344kW when operating at full-load. The corresponding speed is accurately measured and is found to be 709.2 r/min.
A 15-tooth pinion cut with a 10-pitch, 25° hob drives a 45-tooth gear. Using a computer, calculate the backlash produced when the center distance is increased twin 3.000 in. to 3.030 in. by increments of 0.0010 in.
the heat input to a cold box is to be reduced by adding extruded polystyrene sheets p55kg m-3 k0.027w m-1 k-1
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