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The inverted pendulum of mass m and mass center G is supported by the two springs, each of stiffness k. If the springs are equally stretched when the pendulum is in the vertical position shown, determine the positions of static equilibrium and investigate the stability of the system at each position. Take the springs to be sufficiently long so that they remain effectively horizontal.
An inventor claims to have developed a power cycle operating between hot and cold reservoirs at 1175 K and 295 K, respectively, that provides a steady-state power output of (a) 28 kW, (b) 31.2 kW, while receiving energy by heat transfer from the hot ..
two structural members b and c are bolted to a bracket a. knowing that both members are in tension and that p 6 kips
a car with a mass of 1570 kg is supported by four springs each with a spring constant of 25 nmm. in traveling over an
if the 175lb man fires the 0.2 lb bullet with a horizontal muzzle velocity of 2800 fts measured relative to the 650lb
what is the ratio of the dynamic viscosity of air to that of water at standard pressure and temperature of 20degc? what
A small five-cylinder CI automobile engine operates with a variable valve timing control system without a camshaft. At operational speed of 3500rpm the intake valve opens 32deg bTDC and closes 57deg aBDC. The exhaust valve opens 52deg bBDC and closes..
Each consumer has a von Neumann-Morgenstern utility function for lotteries of money. For each consumer, the utility of x units of money is √x, and each consumer believes that each state occurs with probability 1/2. Consumer A is endowed with $2 in ..
the main bearing on an engine crankshaft is lubricated with engine oil. the torque due to friction t0 depends on shaft
consider refrigerant r-134a flowing in a smooth horizontal 10-mm-inner-diameter tube of wall thickness 2 mm. the
Design and construction of a modified single stroke positive displacement pump
a frictionless piston is raised by slowly heating the gas contained in the cylinder. the initial pressure is 2 bar and
a new dam project will require 48000 a year in maintenance costs after it is complete. these maintenance costs will
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