Ahollow sphere of diameter 3 in. is filled with air at 200 atm, 60°f. the shell of the sphere has a mass of 0.2 lbm and is of negligible thickness. if the sphere is submerged in water at 60° f, determine the magnitude of the net vertical force, in lbf. is the force acting upward or downward? assume the air can be modeled as in ideal gas.

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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