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1. State the conditions under which a point and the mass center of a rigid body share the same principal axes of inertia. In other words, let Ip and le be the moment-of-inertia matrices of a rigid body about a point P and its mass center, C, respectively. State the conditions under which the two matrices have common eigenvectors. Moreover, under these conditions, what are the relationships between the two sets of principal moments of inertia?
2. Show that the smallest principal moment of inertia of a rigid body attains its minimum value at the mass center.
consider a regenerative vapor power cycle with two feedwater heaters a closed one and an open one. steam enters the
Air at 1000K and 400 kPa enters the insulated nozzle of a turbo-jet engine. Because the plane is flying at an altitude, the exit pressure is only 80 kPa. Calculate the exit velocity of the nozzle if its isentropic efficiency is 93%. Report answer in ..
R134a rests in a compressed fluid can at 120psia, and a specific volume of 0.38ft3/lbm. What is its temperature and quality? Half of the mass is now vented off to the atmosphere. The can is allowed to exchange heat with the surroundings at 100°F unt..
a 300 ib force acts on the bracket as shown in the figure below. find the moment it produces about point a using scalar
The following is a diagram shows refraction of a light beam at the interface of two media. The incidence and refraction angles are measured to be 45 deg and 30 deg respectively. Will total reflection happen when the light beam shins from the top to t..
an air conditioner uses r134 the condenser pressure is 1400 kpa and the evaporator pressure is 201 kpa. find the cycle
Assuming that the bomb is perfectly insulated what is the temperature of the air in the bomb at the end of filling process? Assume air is an ideal gas with constant specific heats in a ratio Cp/Cv = γ = 1.4 and constant R= 287 J/kg K.
a centrifugal pump runs at 1500 rpm and delivers 1500 m3hr of water againt a head of 70m when absorbing 350 kw. the
you work for the city water department and need to pump 3400 litersmin of water from a tank at ground level into a
an average car consumes about 5 l of gasoline a day and the capacity of the fuel tank of a car is about 50 l. therefore
assuming the ball experiences a downward acceleration of a10-0.9v2 when in the water determine the velocity of the ball
If a Germanium wafer, which is uniformly doped with Gallium to a concentration of 5.55? 10^23 (m^3)^-1, has an electrical conductivity of 17,000 (?m)^-1 determine the mobility of the charge carriers in (m^2 / (V sec)). (Recall each gallium atom will ..
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