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Problem 1: A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface and is attached to a uniform slender bar AB of mass m. The bar is attached to a spring of constant K and can route freely in the vertical plane about point A as shown in the figure.
If the bar AB is displaced by small angle θ and released, determine
a. The energy of the system in terms of θ and θ.b. The equation of motion in terms of θ and θ using Larange's equations.c. The natural frequency of vibration of the system.
a gas refrigeration system composed of a turbine a compressor and two heat exchangers is operating at steady state. air
A vertical plate of length L = 2m (in the vertical direction), width w = 1m (in the horizontal direction) and temperature T = 300K is in free convection with air at T\infty = 320K. Find the total heat transfer from both sides of the plate
We want to produce 20 kg/s of saturated water vapor by mixing steam at 350oC with liquid water at 20oC. The adiabatic mixing process occurs at a constant pressure of 10 MPa. During the mixing process, a stirring mechanism does work on the mixture at ..
what force would be required to start a 250lb crate sliding across a cement floor which has a coefficient of static
an engineer is making an estimate for a home owner. this owner has a small stream of water q1.4cfs t40cthat is located
A 10 inch long cantilevered beam has a 1” by 1” square cross section. The load at the end of the beam cycles from 0 lbs to 300 lbs. determine the stress. Determine the slenderness ratio and column constant of a 38” long steel column that has a 1.5 in..
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according to test data a new type of engine takes in streams of water at 400 degrees f 40 psia and 200 degrees f 40
An airplane weighing 70000 lb is in a cruise flight (constant altitude, constant velocity, level flight) at an altitude of 30000 ft, with a velocity of 0.5 Mach. Its wing area is 4000 ft2. Given the drag polar of the airplane as CD=CD,0+0.05CL2; CD,0..
A frictionless piston-cylinder device contains 2 kg of air at 100 kPa and 300 K (state 1). Air is now compressed until it reaches a final temperature of 360K (state 2). During the process, the pressure of the air inside the piston-cylinder device var..
A spine attached to a wall maintained at a uniform temperature Tb has the shape of a circular cone with base diameter b, height L and a concave parabolic profile, and it is exposed to a fluid at a uniform temperature T?.
The stresses at a point in plane stress on the body of a car were found to be sigma_xx = 30 MPa (C), sigma_yy = 60 MPa (T) and Tau_xy = 40 Mpausing matrix methods a) determine the normal and shear stresses on a plane passing through the point that is..
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