A rectangular RCC machine foundation of size 3.0 x 3.0 x 0.8m thick is supporting a machine of weight is 10kN. The machine transmits an unbalanced vertical load passing through the combined CG of the machine and foundation whose amplitude is 8[1-sin/4t]kN Soil medium has the following properties: Young’s modulus, E=1.2 x105 kN/m2 . Poisson’s ratio, v=0.3. Unit weight of soil and concrete, s=17 kN/m3 . c=17 kN/m3 Find the response of the system and natural frequency using Elastic half- space approach for vertical and sliding vibration

Prove the equivalence between the two statements of the 2nd law of thermodynamics (i. e., a violation of one statement leads to the violatio the other statement)

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed

For a process taking place in a closed system containing gas, the volume and pressure relationship is pvi-constant. -1.5 bar, the process starts with initial conditions, pi = =0.03 m3 and ends with final volume, v2-0.05 m3 determine the work done by the gas.