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FIGURE P2.38 2.39, One end of the mercury-filled U-tube manometer of Fig. P2.39

ID: 1712786 • Letter: F

Question

FIGURE P2.38 2.39, One end of the mercury-filled U-tube manometer of Fig. P2.39 is open to the atmosphere ile the other end is capped and under a pressure of 20 psig. The cap is suddenly removed. Determine x(t), the displacement of the mercury-air interface from the c equilibrium position. Total length of mercury column 12 ft Hg FIGURE P2.39 2.40., A 200-kg package is being hosted by a 120-mm-diameter steel cable (E-200 × 10 N/m2) at a constant velocity v. What is the largest value of v such that the cable's elastic strength of 560 x 106 N/m2 is not exceeded if the hoisting mechanism suddenly fails when the cable has a length of 10 m. , A 3-kg block is hanging in equilibrium from a coil spring of diameter 5 cm made from a steel rod of diameter 5 mm. The shear modulus of the spring's material is G = 80 × 109 N/m2 and the spring has 25 active coils. A weight W is dropped from 20 cm onto the block. On impact the weight attaches itself to the block. What is the largest weight that can be dropped such that the spring's elastic shear strength of 100 x 106 N/m2 is not exceeded?

Explanation / Answer

1 )

after releasing cap

both ends will be at an atmospheric pressure and left end will rise equal to 20psig pressure.

1psig = 2.03602 in hg

total rise in column = 20*2.036= 40.72 in = 3.39 ft = x(t)