An example of an action and reaction is sitting on a chair. Your body pushes down on the chair because of the force of _ , and t
1 answer:
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Answer:
The motion is over-damped when λ^2 - w^2 > 0 or when > 0.86
The motion is critically when λ^2 - w^2 = 0 or when = 0.86
The motion is under-damped when λ^2 - w^2 < 0 or when < 0.86
Explanation:
Using the newton second law
k is the spring constante
b positive damping constant
m mass attached
x(t) is the displacement from the equilibrium position
Converting units of weights in units of mass (equation of motion)
From hook's law we can calculate the spring constant k
If we put m and k into the DE, we get
Denoting the constants
2λ = =
λ = b/0.215
λ^2 - w^2 =
This way,
The motion is over-damped when λ^2 - w^2 > 0 or when > 0.86
The motion is critically when λ^2 - w^2 = 0 or when = 0.86
The motion is under-damped when λ^2 - w^2 < 0 or when < 0.86
Answer:
The phase difference is 0.659 rad.
Explanation:
Given that,
Distance between two identical loudspeakers d= 1.00 m
Distance between speakers and listener r= 4.00 m
Frequency = 300 Hz
Suppose we need to find the phase difference in radian between the waves from the speakers when they reach the observer
We need to calculate the r'
Using Pythagorean theorem
Where, d = distance between two identical loudspeakers
r = distance between speakers and listener
Put the value into the formula
We need to calculate the path difference
Using formula of path difference
We need to calculate the wavelength
Using formula of wavelength
Where, v = speed of sound
f = frequency
Put the value into the formula
We need to calculate the phase difference
Using formula of phase difference
Hence, The phase difference is 0.659 rad.
