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the engine in the rocket is supposed to provide a constant thrust of 5000 KN. the turbopump unit in the engine nominally operates at 7000 rpm, and a result of design issue, the actual thrust provided by the engine oscillates harmonically with an amplitude of 10 KN at the same rotational frequency as the turbopump unit. the mass of the engine is m= 5000 kg. the rest of the rocket is much heavier than the engine and can be treated as being fixed. the engine is mounted to the rocket via two structural members, each of which can be modeled as consisting of a linear spring of stiffness k in a parallel with a dashpot with linear viscous damping coefficient c. determine the smallest values of c and k such that the static deflection due to the constant component of the thrust is less than 0.01 m and so that the vibration amplitude in the nominal operating regime is less than 0.001 m. ignore the stiffness and damping due to the piping. HINT: if x is measured from the equilibrium position of the engine that results from the combined effect of the thrust and gravity, then the engine is subject to an extremely applied forcing equal (10sinw0t) kn, where w0 is the rotational frequency of the turbo pump
Maintenance expenses for a bridge in Georgia are estimated to be $200,000 for the first eight years followed by two separate million dollar expenditures in years 12 and 18. The expected life of the bridge is thirty years.
Plot the variation with depth (z) of the at-rest lateral earth pressure behind the wall, and determine the magnitude and location of the at-rest lateral earth force per unit length of wall.
Person spining has his arms outward. The moment of inertia is 52kg*m^2 and ang. speed 3.80 revolutions/ second. if the persons arms are down. moment of inertia goes to 35kg*m^2. find the new angular speed
Characteristic values of the shear strength parameters of the soil are c'= 0, and f' = 400. Determine the required width of the footing if a factor of safety of 3.0 against shear failure is specified when the water table rise to foundation level.
For some minerals color is a diagnostic property making identification rather easy. However, certain minerals can also occur in a wide variety of colors making color a poor tool for identification. List different colors for the mineral quartz lo..
If both tanks are well-mixed and remain at constant volume, what is the steady-state concentration (in mg/L) of chromate (CrO42-) in the effluent water leaving the second tank?
An aluminum link is subjected to axial tension. The loading is limited by the conditions of not yielding and not elongating excessively. The yield limit is satisfied if the stress remains below 50%of the 325M Payield stress.
The elastic modulus is 40 GPa, the yield stress is 150 MPa, the ultimate stress is 525 MPa, and the ultimate strain is 0.38 (mm/mm). Perform the following tasks for this material. compute the tangent modulus between yield stress and ultimate stres..
The "Shape Factor" of a cross-section of a beam is defined as the fully plastic strength divided by the force or moment causing first yield. Thus the Shape Factor for bending is Mp/My and similarly for shear, is Vp/Vy.
A ten-foot high wall will retain a medium dense sand backfill. Determine the Rankine earth pressure diagram and the total active force on the wall.
Describe the given types of bonding agents found with clay minerals. a) hydrogen bond b) covalent bond c) van der walls forces d) james bond e) ward bonds f) war bonds.
A concentrated downward force of 2000 lb. is located 6' from the left support, and a uniformly distributed load of 200 lbs./lin. ft. begins 6' to the right end of the member. What force must be applied at each connection to maintain equilibrium?
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