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An overdamped harmonic oscillator satisfies the equation
x·· + 10x· + 16x =0.
At time t = 0 the particle is projected from the point x = 1 towards the origin with speed u. Find x in the subsequent motion. Show that the particle will reach the origin at some later time t if
(u-2)/(u-8) = e6t.
How large must u be so that the particle will pass through the origin?
A pump in a tank of water at 20°C directs a jet at 45 ft/s and 200 gal/min against a vane, as shown in Fig. P3.73.
explain the differences between the plane stress fracture toughness and the plane strain fracture toughness. for a
is made to vibrate on a rough surface. If the friction force f = 20 N is and the amplitude of the mass is observed to decrease by 50 mm in 10 cycles, determine the time taken to complete the 10 cycles.
A cylinder-piston assembly contains saturated liquid (H20) at 500F. The piston is 1 inch from the bottom of the cylinder. The system undergoes a constant temperature in which the fluid expands and the piston is raised to 86.45 inches above the bottom..
What flow rate must be supplied to maintain an oil outlet temperature of 100°C? What is the corresponding heat transfer rate?
If the town of Chapel Hill used the Smith Center as a refuse disposal site, how long would it take to fill up? Make all necessary assumptions.
Determine the shear stress, acting on plane AB and the principal stresses at the point and find the friction coefficient.
How to calculate the force required to displace the Bellow for 10mm which is fixed in the pipe line. It is a ring type bellow and i want to find axial force.
refrigerant 134a at 140f and 125 psia enters a condenser of a chiller at 800 lbh and exits as a saturated liquid at the
a spherical pressure vessel is formed of 16-gauge 0.0625 in cold drawn aisi sheet steel. if the vessel has a diameter
Three kg of saturated R-134a inside frictionless piston-cylinder device is at a state (state 1) such that the piston is not moving (equilibrium). The atmospheric pressure around the device is 99.4 kPa and the mass of piston is 2.45 kg. The volume of ..
Estimate that it takes 30 seconds to empty the contents of each green container into the truck and a set-out amount of 12 kgs.
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