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The Record-a-Song company has contracted with a rising star to record eight songs. The sizes in MB of the different songs are 8, 3, 5, 5, 9, 6, 7, and 12, respectively. Record-a-Song uses two CDs for recording. Each CD has a capacity of 30 MB. The company would like to distribute the songs between the two CDs such that the used space on each CD is about the same. Formulate the problem as an IP, and find the optimal solution.
The 3.5-Mg engine is suspended from a spreader beam having a negligible mass and is hoisted by a crane which exerts a force of 40 kN on the hoisting cable. Determine the distance the engine is hoisted in 2.4 s, starting from rest.
Determine the differential settlement between the centre line of the ring beam and under the centre of beam. The inner and outer radii of the ring beam are 8m and 12m respectively.
If the elevation difference between the water surfaces is y = 25 + x/11 metres, what minimum pipeline diameter will be required to convey the design discharge? Once your design is complete, determine the actual discharge. The value of x equals 23.
Derive an equation that allows you to compute the diameter of the drain hole for a desired steady water height in the tank for the design condition inflow and pumping rates.
Knowing that at t= 3s slider block C has moved 57 mm to the right, Determine the velocity of slider block C at t=0, (b) the acceleration of A and C, (c) the change in position of block A after 5s.
The train passes point A with a speed of 30 m/s and begins to decrease its speed at a constant rate of at = - 0.25 m/s2. Determine the magnitude of the acceleration of the train when it reaches point B, where sAB = 412 m.
The gate is rectangular with a horizontal width of 2m perpendicular to the paper. For a depth h = 3m of water, calculate the required force exerted by the hydraulic cylinder to keep the gate just closed.
Does the presence of Mg2+ significantly interfere with the determination of Ca 2+ by the EDTA titration?
A constant head permeability test was conducted on a clean sand sample. The diameter and length of the test specimen were 10 cm and 12 cm respectively.
What is the average length of queue, the average time spent in the system, and the average waiting time in the queue?
If the water vapor is removed from the upper tank so that the concentration there remains nearly zero, what mass of water vapor diffuses through the tube each hour?
A body slides down a frictionless plane and during the third second after starting from rest if it travels 20.4m. What is the angle of inclination of the plane?
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