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A rigid rod of length 2a has its lower end in contact with a smooth horizontal floor. Initially the rod is at an angle α to the upward vertical when it is released from rest. The subsequent motion takes place in a vertical plane. Take as generalised coordinates x, the horizontal displacement of the centre of the rod, and θ, the angle between the rod and the upward vertical.
Obtain Lagrange's equations. Show that x remains constant in the motion and verify that the θ-equation is equivalent to the energy conservation equation. Find, in terms of the angle θ, the reaction exerted on the rod by the floor.
Determine the distance to the centroid C of the composite area shown in the figure.
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steam with 88.6% quality and a flow rate of 750 kg/s enters a condenser operating @ 75 KPa. Saturated liquid leaves the condenser. How much heat is rejected to the cooling system.
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Design a mask set and process flow that would produce a 50000 Ohm resistor patterned onto the surface of an initially n type silicon wafer (0.18 Ohm-cm, phosphorous doped).
Calculate the number of vacancies per cubic meter in some metal at 753°C. The energy for vacancy formation is 0.81 eV/atom, while the density and atomic weight for this metal are 6.38 g/cm3 and 49.43 g/mol, respectively. Find in m^-3 units.
in an infinite homogeneous medium containing a uniformly distributed radionuclide source emitting radiation energy at a
The tip of a 2-m-long slender rod with lateral surface insulated is dipped into a hot liquid at 200?C. What differential equation describes the temperature? After a long time, what is the temperature distribution in the rod if the other end is hel..
The garment may be assumed to have a temperature of 25°C and a characteristic length of 1 m in the vertical direction. Estimate the drying rate per unit width of the garment.
Identify a rectangular duct section with an equivalent pressure loss that has a side depth of 300 mm.
explore the n2nono2 equilibrium in ambient atmosphere p 1 atm t 25 oc after the oxides no and no2 have been produced
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