The classical motion for an oscillator that starts from rest at location x₀ is
x(t) = x₀ cos(ωt)
The probability that the particle is at a particular x at a particular time t
is given by ρ(x, t) = δ(x − x(t)), and we can perform the temporal average
to get the spatial density. Our natural time scale for the averaging is a half
cycle, take t = 0 → π/
ω
Thus,
ρ = 
Limit is 0 to π/ω
We perform the change of variables to allow access to the δ, let y = x₀ cos(ωt) so that
ρ(x) = 
Limit is x₀ to -x₀

Limit is -x₀ to x₀

This has
as expected. Here the limit is -x₀ to x₀
The expectation value is 0 when the ρ(x) is symmetric, x ρ(x) is asymmetric and the limits of integration are asymmetric.
Answer:
The total hole mobility is 41.67 cm²/V s
Explanation:
Data given by the exercise:
hole mobility due to lattice scattering = ul = 50 cm²/V s
hole mobility due to ionized impurity = ui = 250 cm²/V s
The total mobility is equal:

Hexadecimal is a base16 way of representing numerical values in a way a human can remember, it is not easier for the computer to read it but it is for a human. Hex can have both letters and numbers, as soon as the binary value gets above 9 it is replaced with a letter. Numbers are used from 0 to 9 and letters are used between binary values 10 and 16, hex does not go above 16 instead it just simply gets another digit.
For example, if there is a hex code of D9 then in decimal, it represents the number 139.
Hope this helps!
Answer:
e = 3.97*10^-4
Explanation:
1.8 mm = 0.0018 m
2.6*10^4 mm = 26 m
Elongation is The ratio between the stretched length and the original length.
e = L/L0
This is calculated with Hooke's law:
e = σ/E
Where
σ: normal stress
E: elastic constant
σ = P/A
Where
P: normal load
A: cross section
A = π/4 * d^2
Therefore:
e = P / (A * E)
e = 4 * P / (π * d^2 * E)
e = 4 * 290 / (π * 0.0018^2 * 207*10^9) = 3.97*10^-4
The use of smart cranes doesn't enable transportation companies to: B. Manually load or unload crates onto a train with several workers.
<h3>What is a
smart crane?</h3>
A smart crane can be defined as a mechanical equipment that is designed and developed to automatically load, unload, or control the movement of heavy equipment (objects) from one point to another, especially through the use of a projecting arm or beam.
<h3>The use of smart cranes.</h3>
Generally, various transportation companies use a smart crane to achieve and perform the following tasks:
- An ability to hire fewer workers to transport crates onto trains or haulage vehicles.
- An ability to control the movement of heavy objects.
- An ability to incorporate technological advancements into their routine work or daily practices.
Hence, the use of smart cranes by transportation companies completely abolishes the need to manually load or unload crates onto a train with several workers.
Read more on smart cranes here: brainly.com/question/25845985