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Question: A disk of mass In and radius r rolls without slip inside a rough circular surface- of radius R, as shown in Fig. Derive the differential equation for the angular motion θ by writing two equations of motion, one for the translation of C and one for the rotation of the disk about C, and then eliminating the force at the point of contact A. The angle B can be arbitrarily large.
the 3-kg slender rod rotated in a vertical plane about a pivot at b. a spring of constant k 300 nm and of unstretched
the turbocharger of an internal combustion engine consists of a turbine and a compressor. hot exhaust gases flow
Assuming the tank is initially evacuated and that the helium behaves as an ideal gas with constant specific heats, determine the amount of entropy produced when the tank is filled (a) adiabatically and (b) isothermally at 70.0°F.
a stainless steel tube of 1 cm outer diameter and 1mm wall thickness receives a uniform radiative heat flux of 100 wcm2
Determine the rate of heat supply by the fan-motor assembly to the room.
a rigid tank contains 0.1-kg of air at 300 kpa and 300 kelvin. the air is now heated until the pressure doubles.
What is the work done and the entropy generated for the process that is a rigid container with volume 200 L and is divided into two equal volumes by a partition with both sides containing nitrogen, one side is at 200 kPa, 100oC and the other side is ..
Refer to Problem 5.9. Grazemont Dairy has a corporate tax rate of 40%> and the filling machine for the dairy line has a CCA rate of 30%>. The firm has an after-tax ALARR of 10%. On the basis of the exact IRR method, determine which alternative Gra..
Air enters a three-stage gas turbine at 100 kPa and 17 degree Celsius. This system uses a regenerator as well as reheating and interfolding. The pressure ratio across each compressor is 14.16; 300 kJ/kg of heat are added to the air in each combustion..
Derive the stiffness matrix of the tapered bar element (which deforms in the axial direction) shown in Fig. 12.13. The diameter of the bar decreases from D to d over its length.
gear a accelerates clockwise from rest to 100 rpm in 2 seconds. determine the angular acceleration of gear b and the
The power unit A of the tractor-scraper has a mass of 4 Mg with mass center at G1. The fully loaded trailer-scraper unit B has a mass of 24 Mg with mass center at G2. Positioning of the scraper is con- trolled by two hydraulic cylinders EF, one on..
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