Answer:
The natural angular frequency of the rod is 53.56 rad/sec
Explanation:
Since the beam is free at one end and fixed at the other hence the beam is a cantilevered beam as shown in the attached figure
We know that when a unit force is placed at the end of a cantilever the displacement of the free end is given by

Hence we can write

Comparing with the standard spring equation
we find the cantilever analogous to spring with 
Now the angular frequency of a spring is given by
where
'm' is the mass of the load
Thus applying values we get

Answer:
The diffusion coefficients for iron in nickel are given at two temperatures:
T (K) 1273 1473
D (
/s) 9.4 ×
2.4 × 
(a) Determine the values of Do and the activation energy Qd.
(b) What is the magnitude of D at 1100°C (1373 K)?
<em>A </em>
<em>The pre-exponential factor Do = 2.1 x </em>
<em></em>
<em>The activation energy Qd = 252,609 J/mol</em>
<em>B</em>
<em>The diffusion coefficient D= 5.14 x </em>
<em></em>
Explanation:
The full explanation is contained in the attached images;
Answer:
To four significant digits = 2097 psi
Explanation:
<u>Applying the rule of thumb </u>
σ = Mc/I ---- ( 1 )
M = 1835 Ibf in , I/c = 0.875 in^3
∴ c/l = 1 / 0.875 = 1.1429
back to equation 1
σ = 1835 * 1.1429 = 2097.2215 psi
To four significant digits = 2097 psi
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