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A hot-air balloon of mass m is used to lift a load, Mg, by means of 12 equally spaced elastic ropes, each of stiffness k (see Fig. 5.60). Find the natural frequencies of vibration of the balloon in vertical direction. State the assumptions made in your solution and discuss their validity.
An 80-mm × 40-mm rectangular beam is made of heat treated AISI 4340. On the tension side of the beam, a transverse crack of length 10 mm is discovered. Determine the magnitude of the bending moment M that will cause brittle fracture.
a steam turbine produces 3000 hp with a mass flow rate of 22000 pounds per hour. the steam enters at 1100 degf and 900
if a particles position is described by the polar coordinates r 2 sin 2u m and u 4t rad where t is in seconds
Determine all reactions and draw the shear and moment diagrams, locating points of inflection and labeling values of maximum shear and moment. in each span.
a pump is being used to transfer water from an open tank p1 0 to one having air at 75 psig p2above the water. if 600
What is the axial stress in the wall of the tank due to the water pressure?
a particle moves along the positive x-axis with an acceleration ax in meters per second squared which increases
How are lines narrowed so that high-resolution spectra can be obtained?
a single-pass cross flow heat exchanger shown below is utilized to transfer heat from fluid a to fluid b. right after
A lap joint needs to be designed using 20-mm diameter bolts to carry a load of 120 kN on the connecting plates. If the shear stress in each rivet is not to exceed 90 MPa, determine the number of bolts needed.
an aluminum pan whose thermal conductivity is 237 has a flat bottom whose diameter
Steam is expanded isentropically from a pressure of 40 bar and a temperature of 300°C to a pressure of 0.05 bar. Find the final dryness fraction by calculation using values from the property tables.
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