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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 vertical cylinder containing air is fitted with a piston of 68lbm and cross sectional area of 35in2. the ambient
The 8-lb block slides in a frictionless slot that lies in the vertical plane. The stiffness’s of springs A and B attached to the block are kA =40 lb/ft and kB= 20 lb/ft. When the block is in position 1, spring A is compressed 0.5 ft and spring B is u..
a cylinder is fitted with a frictionless piston contains 10 lbm of r-134a at 100 psia 300 f. the system is cooled at
in all but a very few vehicles today crush or crumple zones are employed as a method to reduce energy transfer to the
a 12 kn force is exerted on a rocker arm. the moment of inertia i of the crosssectionnbspwith respect to the
Air enters the evaporator section of an air-conditioner at 100 kPa, 27oC with a volumetric flow rate of 6 m3/min. R-134a enters the evaporator at 120 kPa with a quality of 0.3 and rate of 2 kg/min and it leaves as a saturated vapor at the same pressu..
Determine the location the centroid of the area.
a mercury-in-glass thermometer has 12 gram of mercury in bulb. the design requires that if temperature increases by
Water (25 degrees Celsius) flows through 1- inch Schedule 40 steel pipe at 2.0 gpm. What is the pressure drop along 5000 feet of smooth pipe? If the pipe is not smooth but rather commercial steel, what is the pressure drop?
what are the properties of petrol that it makes particularly suitable for the use as afuel in a motor vehicle.
a projectile is fired at an angle of 62deg from the horizontal with a velocity of 704 ftsec. if it lands 4.75 seconds
a wheatstone bridge initially has resistances equal to r1 200 omega r2 400 omega r3 500 omega and r4 600 omega .
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