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Calculate the divergence and Curl, of the following functions

a. V= x2 i+3xy^

2

j -2xyz k

b. V=xyi+2yz j+3zx k

c. V= y2

i +(2xy+z2


)j+ 2yz k , where i , j , k are unit vectors along x, y and z axis


Adding numbers victor ha an array of size n. He loves to play with these n numbers each numbers. Plays with them he pics up any two consecutive numbers and adds them on adding both numbers it costs him k*(sum of both numbers) find all minimum cost of adding all the numbers in the array. Input1:size of array,

Input2:element of the array

Input3:value of K


feedback control loop with a proportional controller has an open loop transfer function GOL = Kc/S(5S+1)²where time is in minutes. Tune for PID controller using Zeigler Nicholas settings.

Explain step by step?


Suppose 8 bit registers have following contents X=00001111 Y=10101010 Z= 11011011 W=00110011 What will be the 8 bit values of each register after execution of following sequences of microoperations ? X ←
Determine the perpendicular distance from joint i to j to upper chord BC

QUESTION 4

4.1 Determine L t Ht   2 ( 3)   (3)

4.2 Determine     2 3 4cosh3 t Le t . (2)

4.2 Determine 1

2

5

4 20

         

s L

s s

(5)

4.3 Determine 1

2

2 3

4 13

         

s L

s s


A copper wire of unknown length has a diameter of 0.25 in. and a resistance of 0.28 ohm. By several successive passes through drawing dies the diameter of the wire is reduced to 0.05 in. Assuming that the resistivity of the copper remains unchanged in the drawing process, calculate the resistance of the of the reduced-size wire



A 4 m long ladder is supported by a wall and floor as shown in Figure. The coefficient of friction at the wall is 0.30 and that the floor is 0.50. The weight of the ladder is 200 N. The ladder supports a vertical load of 800 N at C. Solve for the reactions at the floor and wall. Compute the least value of at which the ladder may be placed without slipping.


A single layer of No. 24 WGA (dia=0.0201) commercial iron wire is wound over a ceramic tube whose diameter is 3.25 in if the total wire resistance is 41 ohms, determine the number of turns.


Air enters the compressor of a gas turbine at 100 kPa and 25°C. For a pressure ratio of 5 and a maximum temperature of 850°C determine the back work ratio and the thermal efficiency using the Brayton cycle.



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