Find the integral of x2 dx dy. Use inner limits = 0 to 2y and outer limits = 0 to 2. (5 points)
how many kg of hot water at 80C must me added to cold water at 15C in order to make a 1.5kg mixture at 25C? Neglect heat losses
a cube with edge length of 10cm is inscribed in a sphere, what is the surface area of the sphere
If the pressure at sea level is 101.325 kPa, and assuming a constant density of 1.2550 kg/m3 , what will be the pressure at an altitude of 11,000 m
A ball is thrown horizontally from the top of a 103-m building for 4.58 seconds. What are the horizontal and vertical velocities of the ball if its initial velocity is 3 m/s?
How is the friction effect taken into account at the turning and sliding pairs of a mechanism? Explain in detail.
In soccer practice Thato runs 74m in a direction of W30°S, he turns around and walks 22m in a direction of 30° North of East. Graphically determine the resultant displacement of Thato by means of addition of vectors
A fan delivers 4.7 cu.m/sec at a static pressure of 5.08 cm of water when operating at a speed of 500 rpm. The power input required is 2.963 kW. If 7.05 cu.m/sec are desired in the same fan and installation, what is the new angular speed in rpm?
A twin-engine aircraft has an engine failure shortly after takeoff at sea level. The pilot tried to turn back
toward the field by making a left-hand turn but crashes after making a 180-degree turn. The wreckage
diagram shows that the turn radius was 3,800 feet. From the radar tapes, the airspeed is estimated to be 160
knots during the turn. The level, steady stall speed of this aircraft is 135 knots.
What is the steepest allowable bank angle with out the aircraft stalling while performing a turn in the
horizontal plane at 160 knots? Please round your answer rounded to the full degree.
An axial pull of 40000 N is acting on a bar consisting of three sections of length 30 cm, 25 cm, and 20 cm and of diameters 2 cm, 4 cm and 5 cm respectively. If the young’s modulus = 2×105 N/mm2, determine: (i) stress in each section and (ii) total extension of bar.