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Consider a slender rod AB of mass m and length L pinned at its midpoint O to a vertical shaft. The rod can rotate by θ about the pin, and the shaft can rotate by φ about its long axis. The mass of the shaft and collar may be neglected. The cord keeps the rod at an initial angle of 30? with the vertical while the shaft is initially rotating freely at angular velocity φ? = 200 rad/s. The cord suddenly breaks.
a. Find an expression for the tension in the cord before it breaks.
b. Find the differential equations of motion for the rod (θ¨ and φ¨) after the break.
Create an assembly drawing that shows the CAP and BASE assembled with the two fasteners. Show a bill of material that includes the McMaster-Carr part number of the fastener you select. You determine the proper type of fastener and material to use.
Assume elastic deformation and that Hooke's law holds. Derive an expression for the ratio of the axial strain to the axial stress, εa/σ a, in the gummite in terms of the Young's modulus, E, and Poisson's ratio,υ, of the gummite.
hoover dam across the colorado river dams up lake mead 600 ft higher than the river downstream as shown in fig. p6.51.
the motion diagram shown in the figure represents a pendulum released from rest at an angle of 45 from the vertical.
air enters a compressor operating at steady state with a volumetric flow rate of 8 m3min at 23degc and 0.12 mpa. the
a system of 1 lb of r22 contained in a piston cylinder undergoes the following process in seriesprocess a constant
A large tank of diameter D and open to the atmosphere is draining water through a nozzle of diameter d. where D >>d. The level will decrease slowly from an initial value z= h(0) (tanks initial fill height) down to z=0. At which time the flow will ..
if the atmospheric pressure is 1.025 bar at a location where you can dive in lake to 30 ft below the surface and then
Use two period measurement channels to estimate the X-Y position of the joystick. Organize the software interface into a device driver, and write a main program to test the interface.
Design a go-anywhere, use-anywhere wind screen for outdoor recreational and casual-living activities, including sunbathing, reading, cooking, and picnicking. The wind screen must be lightweight, portable, easy to deploy, and low cost.
the manometer shown above in problem 1 above contains water and kerosene. with both tubes open to the atmosphere the
Evaluate the surface shear stress and the y-velocity component at the outer edge of the boundary layer for the single plate at x = 1, 10, and 100 mm. Comment on the validity of the boundary layer approximations.
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