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1. In arriving at the equation describing the motion of a vibrating string, the weight was assumed to be negligible. Include the weight of the string in the derivation and determine the describing equation. Classify the equation.
2. Derive the describing equation for a stretched string subject to gravity loading and viscous drag. Viscous drag per unit length of string may be expressed by c(∂u/∂t); the drag force is proportional to the velocity. Classify the resulting equation.
1. A reversible power cycle operating between hot and cold reservoirs at 1000 K and 300 K, respectively, receives 100 kJ by heat transfer from the hot reservoir for each cycle of operation. Determine the net work developed in 10 cycles of operatio..
consider a vertical plate of dimension 0.25 m x 0.50 m that is at ts100 c in a quiescent environment at t? 20 c. in
when the discharge upstream is suddenly increased to 70 cfs/ft. What is the speed and height of the surge wave
A heat pump with a coefficient of performance of 3.5 provides energy at an average rate of 70,000 kJ/h to maintain a building at 208C on a day when the outside temperature is 258C. If electricity costs 8.5 cents per kW ? h, (a) determine the actua..
refrigerant 134a enters the capillary tube of a refrigerator as a saturated liquid at 0.8 mpa and is throttled to a
a 517-kg cannon fires a 16.5-kg projectile with a speed of 265 ms with respect to the muzzle. the cannon is on wheels
a carnot heat engine receives heat from a reservoir at 900 degrees celsius at a rate of 800kjmin and rejects the waste
assume that the ends of the bar have been kept at 100 degrees c for a long time. then at some instant call it t0 the
A 1.2-lb metal bar initially at 2100oR is removed from an oven and quenched by immersing it in a closed tank containing 28 lb of water initially at 620oR. Each substance can be modeled as incompressible.
you are designing a converging-diverging nozzle to operate at sea level. the nozzle will be mounted on a glider that
a small bucket of water is swinging above a persons head at a constant angular speed of 10rads. the rope is 1 m long
Suppose there is free trade between the islands in cloth and food but no trade in labor and land. Compute the equilibrium for the two islands together with the labor of Crusoe as the unit of account. (Hint: Use the symmetry of the problem.)
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