The value of spring constant and the oscillator's damping constant is
K= 6605.667008, b= 0.002884387
Explanation:
For Weakly damping spring oscillator
K/m = W_0^2 (at resonance)
K= mW_0^2
=0.206 * ( 2π * 28.5) ^2
=0.206 * (2π)^2 * (28.5)^2
K= 6605.667008
F = - bV
b= -F/V = -F/ -W_0 * m
=F/W_0 * m
= 0.438N / 2π * 28.5 * 0.848
b= 0.002884387
Answer:
The number is 
Explanation:
From the question we are told that
The wavelength is 
The length of the glass plates is 
The distance between the plates (radius of wire ) = 
Generally the condition for constructive interference in a film is mathematically represented as
![2 * t = [m + \frac{1}{2} ]\lambda](https://tex.z-dn.net/?f=2%20%2A%20%20t%20%20%3D%20%5Bm%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5D%5Clambda)
Where t is the thickness of the separation between the glass i.e
t = 0 at the edge where the glasses are touching each other and
t = 2d at the edge where the glasses are separated by the wire
m is the order of the fringe it starts from 0, 1 , 2 ...
So
![2 * 2 * d = [m + \frac{1}{2} ] 520 *10^{-9}](https://tex.z-dn.net/?f=2%20%2A%20%202%20%2A%20d%20%20%20%3D%20%5Bm%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5D%20520%20%2A10%5E%7B-9%7D)
=> ![2 * 2 * (2.8 *10^{-5}) = [m + \frac{1}{2} ] 520 *10^{-9}](https://tex.z-dn.net/?f=2%20%2A%20%202%20%2A%20%20%20%282.8%20%2A10%5E%7B-5%7D%29%20%3D%20%5Bm%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5D%20520%20%2A10%5E%7B-9%7D)
=>

given that we start counting m from zero
it means that the number of bright fringes that would appear is

=> 
=> 
Answer:
100 W
Explanation:
The power can be defined as energy change / time taken
Or
Energy used/time taken
So in this case you get,
Power = 2500/25 = 100 W
Answer:
n = 1810
A = 25 mm
Explanation:
Given:
Lateral force amplitude, F = 25 N
Frequency, f = 1 Hz
mass of the bridge, m = 2000 kg/m
Span, L = 144 m
Amplitude of the oscillation, A = 75 mm = 0.075 m
time, t = 6T
now,
Amplitude as a function of time is given as:

or amplitude for unforce oscillation

or

or

Now, provided in the question Amplitude of the driven oscillation

the value of the maximum amplitude is obtained
thus,

Now, for n people on the bridge
Fmax = nF
thus,
max amplitude

or
n = 1810
hence, there were 1810 people on the bridge
b)
since the effect of damping in the millenium bridge is 3 times
thus,
b=3b
therefore,

or

or

or
A = 0.025 m = 25 mm