Answer:

Explanation:
From the question we are told that:
Plane strain fracture toughness of 
Y value 
Stress level of
Generally the equation for length of a surface crack is mathematically given by



Therefore
in mm

Answer:
a) 
b) 
Explanation:
From the question we are told that:
Cast-iron block Dimension:
Length
Width 
Feed
Depth 
Diameter 
Number of cutting teeth 
Rotation speed 
Generally the equation for Approach is mathematically given by



Therefore
Effective length is given as



a)
Generally the equation for Machine Time is mathematically given by

Where



Therefore


b)
Generally the equation for Material Removal Rate. is mathematically given by



Answer:
45.3 MN
Explanation:
The forging force at the end of the stroke is given by
F = Y.π.r².[1 + (2μr/3h)]
The final height, h is given as h = 100/2
h = 50 mm
Next, we find the final radius by applying the volume constancy law
volumes before deformation = volumes after deformation
π * 75² * 2 * 100 = π * r² * 2 * 50
75² * 2 = r²
r² = 11250
r = √11250
r = 106 mm
E = In(100/50)
E = 0.69
From the graph flow, we find that Y = 1000 MPa, and thus, we apply the formula
F = Y.π.r².[1 + (2μr/3h)]
F = 1000 * 3.142 * 0.106² * [1 + (2 * 0.2 * 0.106/ 3 * 0.05)]
F = 35.3 * [1 + 0.2826]
F = 35.3 * 1.2826
F = 45.3 MN
Explanation:
if there is a deficit or a surplus
if the budget is good
Answer : The final velocity of the ball is, 12.03 m/s
Explanation :
By the 3rd equation of motion,

where,
s = distance covered by the object = 6.93 m
u = initial velocity = 2.99 m/s
v = final velocity = ?
a = acceleration = 
Now put all the given values in the above equation, we get the final velocity of the ball.


Thus, the final velocity of the ball is, 12.03 m/s