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For constant tension, T, we have derived the governing equation of equilibrium of a transversely loaded string (Example 3.3). Derive the analogous equation for the case where the tension is not fixed, i.e., T ¼ T(x). Is this a linear problem, mathematically speaking?
determine the center deflection of a clamped circular plate subjected to a point load q 0 at a distance b from the
An 80-mm × 40-mm rectangular beam is made of heat treated AISI 4340. On the tension side of the beam, a transverse crack of length 10 mm is discovered. Determine the magnitude of the bending moment M that will cause brittle fracture.
Neglect the mass of the wheels and any frictional resistance to motion. The density of sand is rs = 1520 kg>m3.
a trailer truck enters a 2 percent uphill grade traveling at 72 kmh and reaches a speed of 108 kmh in 300 m. the cab
a piston cylinder device with a set of stops on the top initially contains 3 kg of air at 200kpa and 27 degrees
At what distance from the inlet will the inside wall of the pipe reach Tsat? What redesign may be needed?
A 50-kg block of iron casting at 500 K is thrown into a large lake that is at a temperature of 285 K. The iron block eventually reaches thermal equilibrium with the lake water. Assuming an average specific heat of 0.45 kJ/kg · K for the iron, dete..
the boat is to be pulled onto shore using two ropes. If the resultant force is to be 1000 N, directed along the keel aa , determine the magnitude of forces T, P acting in each rope at the angle teta of P so that the magnitude of P is minimum. T ac..
two weights are attached to a wheel pully m1 is 2.00 slugs and m2 is 1.00 slugs use kinetics to calculate the anguler
a balloon filled with helium gas is to be used to lift a military vehicle that weighs 2570 pounds. as learned in class
1.a turbine receives 0.1 kgs of hot air at 55 ms velocity at 1.4mpa and 900k. the air leaves at 225ms and 200 kpa and
a closed stationary sytem consists of 2 kg of mass. during a certain process 20 kjkg of work is done on the system and
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