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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.
Calculate the average distance between dislocations for both cases. For sim- plicity, assume all of the dislocations are parallel and in a square pattern.
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A Heat pump cycle delivers energy by heat transfer to a dwelling at a rate of 40,000 Btu/h.The coefficient of performance of the cycle is 2.8. Determine the power input to the cycle, in hp.
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A heat pump is used to heat a home. It draws 3 kW of electrical power, and it extracts heat at a rate of 6 kW from the cold outdoor air. At what rate does it add heat to the home? What is the heat pump's heating coefficient of performance?
an inventor claims to have developed a device that takes an air stream at 20degc 274 kpa and produces two separate
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