A30 lb product 10 x 8 x 5 inches is fully encased in cushioning material with a modulus of e = 5 psi and centered in a box measuring 14 x 12 x 9 inches. find the natural frequency of the system in all six orientations. (hint: three orientations should be sufficient to describe all six. assume that only cushion material under the product will affect its response.)

Apiping systems consists of 6 m of 6-std type k and 12 m of 4-std type k, both drawn copper tubing. the system conveys ethylene glycol at a rate of 0.013 m3/s. the pressure drop across the system is to be calculated. there are two 90° elbows in the 6-in pipe, a reduction from the 6-in pipe to the 4-in pipe and four 90° elbows in the 4-in pipe. all fittings are soldered (same as flanged) and regular. the inlet and outlet of the system are at the same height.