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The torsional spring at end A of the uniform slender bar is adjusted so that the bar is in equilibrium in the position θ = θ0, where θ0 is not necessarily small. If the rotational stiffness of the spring is k (torque/rad), determine the expression for the natural frequency of the bar for small oscillations about the equilibrium position. Assume that the plane of the figure is
(a) vertical; and
(b) horizontal.
steam at 10 psia with a quality of 0.90 enters an adiabatic steady-flow compressor at a rate of 50 lbms. the steam
Determine the mass flow rate through the nozzle for a nozzle throat area of 50 cm2when the back pressure is (a) 0.7 MPa and (b) 0.4 MPa.
a layer of ice is placed on a flat hot surface with a constant temperature of 70 degc. the initial layer thickness is
water behind a dam enters an intake pipe at a pressure of 1.05 bar and velocity of 1 ms flow through a hydraulic
Design a wide flange, simply supported beam below so that the stress due to bending does not exceed that allowed by AISC for A36 steel and calculate the shear stress where the parts join as indicated. Maximum V = 10,000 lb.
a 50.0 g object moves on the end of a spring with spring constant k 25.0 nm. it is released with an initial
Water flows through a 2 cm diameter pipe at 1.6 m/s. Calculate the Reynolds numberand find also the velocity required to give the same Reynolds number when the pipe istransporting air. For the water the kinematic viscosity was 1.31*10^-6 m^2/s and th..
Determine the transfer function characterizing the system.
Calculate the reactions Derive equations for shear and moment Draw the complete shearing force and moment diagrams,
During a certain activity, a hinged knee prosthesis (material is CoCr - Endurance Strength = 330 MPa) is subjected to a cyclically varying bending moment with a mean value of 0 N mm.
a conical hole is machined in a metal whose emissivity is 0.5. the hole is 2.5 cm in diameter at the surface and 7.5 cm
Determine the speed and the mass flow rate at the downstream section where the Mach number is 4.0. Explain your answer in explicit details, and list all steps leading up to your final answer.
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