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A person's capital at the beginning of, and expenditure during, a given year k are denoted by Ck and Ek respectively, and satisfy the difference equations
(a) Show that eventually the person's capital grows at 20% per annum.
(b) If the capital at the beginning of year 1 is £6000 and the expenditure during year 1 is £3720 then find the year in which the expenditure is a minimum and the capital at the beginning of that year.
an engineer has proposed that a simple ideal rankine cycle that uses refrigerant 134a be used to produce work with heat
Find the velocity of the bullet and block just after impact.
a carnot heat pump is to be used to heat a house and maintain it at 25c in the winter. on a day when the average
Calculate the shear force V and bending moment M
A 1m3 rocket propellant chamber is filled with combustion gases at 3000 K and 7 Mpa at the instant combustion ceases. The throat area of the nozzle is 0.1m2. Estimate the time it takes for the chamber pressure to drop to 0.7 MPa. Assume that the inst..
there are two machines available for cutting corks intended for use in wine bottles. the first produces corks with
On which of these systems would you expect slip to ?rst occur as the applied stresses increased? Assuming slip on that system, determine the ratios of the strains, ε2/ε1 and ε3/ε1.
determine the force exerted by each cylinder in raising the crate for u = 60°, a 5 0.70 m, and L = 3.20 m. Show that the result obtained is independent of the distance d.
at a ski resort water at 40 f is pumped through a 3-in diameter 2000ft long steel pipe from a pond at an elevation of
helium gas enters a nozzle at 5 ms. the nozzle is not properly insulated and is releasing 2 kjkg of heat to the
in an automotive gas turbine the centrifugal compressor is driven at 40000 rpm by an axial turbine. the compressor
A single crystal wire of iron at room temperature is subjected to a tensile stress along [010]. Calculate the resolved shear stress in the (110) plane, along the [-111] direction, if the applied stress is 7500 psi.
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