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The weight of a piece of metal is 225 lbf at a location where gravitational acceleration is 31 ft/s2 . Find the weight of the metal in lbf and the mass of the metal in lbm if it will be placed on the surface of the moon where g is 5.5 ft/s2 .


Explain briefly about Inverse response with an example.

2. A mixture containing benzene and toluene with 40% benzene and 60% toluene is to be separated in a fractionating column to give a product containing 96% benzene, bottom product containing 95% toluene. Feed is mixture of two third vapor and one third liquid. Find out the number of theoretical stages required if the reflux ratio of 15 times the minimum is used. Relative volatility is 2.5(McCabe Thiele Method), explain step by step with lengthy process?




A step change of magnitude 10 is introduced into the transfer function



Y(S)/X(S)= 4/(2S²+0.3S+0.5),



find the following



a. Percent overshoot.



b. Rise time



c.Maximum value of y(t)



d. Ultimate value of Y(t)



e. Period of oscillations.



Explain briefly with step by step process.


28. In modeling a nonrigid mat foundation by using elastic springs, should a uniform modulus of subgrade reaction be used along the whole base of mat?


In the case of an elastic bar fixed at

upper end and loaded by a falling weight at lower end, the shock load produced

can be decreased by

(a ) decreasing the cross-section area

of’ bar

(b) increasing the cross-section area of bar

(c) remain unaffected with cross-section area

(d) would depend upon other factors

(e) none of the above.


8. According to Gay-Lussac law for a perfect

gas, the absolute pressure of given mass varies directly as

(a) temperature  

(b) absolute

(c ) absolute temperature, if volume is kept

constant

(d) volume, if temperature is kept constant

(e) remains constant,if volume and

temperature are kept constant


2. Which of the following laws is applicable

for the behavior of a perfect gas

(a) Boyle’s law  

(b) Charles’law

(c) Gay-Lussac law

(d) all of the above

(e) Joule’s law


  1. A mixture containing 10% ethanol (E) and 90% H2O (W) by weight is fed into a distillation column at the rate of 106.26 kg/h. The distillate (top product) contains 94.01 % ethanol and the distillate is produced at a rate of one tenth of that of the feed. 
  2. Draw and label a flow chart of the process before solving the problem. Perform material (total) and ethanol balances to calculate the mass fraction of ethanol in the bottom product to at least four decimal places. 

The 8 m long cantilever beam shown in the figure below carries a uniformly distributed load of 10 kN/m over a span of 2 m, a uniformly varying load that varies linearly from zero to 20 kN/m over a span of 5 m, and a 15 kN concentrated load at the free end as shown.

1. Nearly sketch the shear force and bending moment diagrams

2. What is the maximum shear force and where does it occur?

3. What is the maximum bending moment and where does it occur?

4. Find any points of contraflexure.





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