HEAT+MASS TRANSFER (LL)-W/ACCESS
6th Edition
ISBN: 9781265879631
Author: CENGEL
Publisher: MCG CUSTOM
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Exercises
Find the solution of the following Differential Equations
1) y" + y = 3x²
3)
"+2y+3y=27x
5) y"+y=6sin(x)
7) y"+4y+4y = 18 cosh(x)
9) (4)-5y"+4y = 10 cos(x)
11) y"+y=x²+x
13) y"-2y+y=e*
15) y+2y"-y'-2y=1-4x³
2) y"+2y' + y = x²
4) "+y=-30 sin(4x)
6) y"+4y+3y=sin(x)+2 cos(x)
8) y"-2y+2y= 2e* cos(x)
10) y+y-2y=3e*
12) y"-y=e*
14) y"+y+y=x+4x³ +12x²
16) y"-2y+2y=2e* cos(x)
Qu. 15 What are the indices for the Plane 1 drawn in the following sketch?
Qu. 16 What are the Miller indices for the Plane shown in the following cubic unit cell?
this is material engineering please show all work
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- Qu. 13 What are the indices for the Direction 2 indicated by vector in the following sketch? Qu. 14 Determine the indices for the direction A and B shown in the following cubic unit cell. please show all work step by step from material engineeringarrow_forwardThe thin-walled open cross section shown is transmitting torque 7. The angle of twist ₁ per unit length of each leg can be determined separately using the equation 01 = 3Ti GLIC 3 where G is the shear modulus, ₁ is the angle of twist per unit length, T is torque, and L is the length of the median line. In this case, i = 1, 2, 3, and T; represents the torque in leg i. Assuming that the angle of twist per unit length for each leg is the same, show that T= Lic³ and Tmaz = G01 Cmax Consider a steel section with Tallow = 12.40 kpsi. C1 2 mm L1 20 mm C2 3 mm L2 30 mm C3 2 mm L3 25 mm Determine the torque transmitted by each leg and the torque transmitted by the entire section. The torque transmitted by the first leg is | N-m. The torque transmitted by the second leg is N-m. The torque transmitted by the third leg is N-m. The torque transmitted by the entire section is N-m.arrow_forwardPlease help, make sure it's to box out and make it clear what answers go where...arrow_forward
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