Answer:
Diameter of riser =6.02 mm
Explanation:
Given that
Dimensions of rectangular plate is 200mm x 100mm x 20mm.
Volume of rectangle V= 200 x 100 x 20 
Surface area of rectangle A
A=2(200 x 100+100 x 20 +20 x 200)
So V/A=7.69
We know that
Solidification times given as
-----1
Lets take diameter of riser is d
Given that riser is in spherical shape so V/A=d/6
And
Time for solidification of rectangle is 3.5 min then time for solidificartion of riser is 4.2 min.
Lets take 

Now from equation 1

So by solving this d=6.02 mm
So the diameter of riser is 6.02 mm.
Answer:
with a square cross section and length L that can support an end load of F without yielding. You also wish to minimize the amount the beam deflects under load. What is the free variable(s) (other than the material) for this design problem?
a. End load, F.
b. Length, L.
c. Beam thickness, b
d. Deflection, δ
e. Answers b and c.
f. All of the above.
Answer:
Fatigue factor of safety is 2.0267
Explanation:
Solution is attached below.
Answer:
let number = 0
while number < 1
begin
print "Enter a positive integer: "
read number
end
end_while
find and print number's factors:
let prime = TRUE
let currentFactor = 2
let lastFactor = the square root of number truncated
to an integer value
while currentFactor <= lastFactor
begin
if number is evenly divisible by currentFactor
begin
print currentFactor
let number = number / currentFactor
end
else
let currentFactor = currentFactor + 1
end_if
end
end_while
print a message if number is prime:
if prime == TRUE
print "Your number is prime"
end_if
Explanation: