Answer:
Part a)
![k = 6.06 \times 10^4 N/m](https://tex.z-dn.net/?f=k%20%3D%206.06%20%5Ctimes%2010%5E4%20N%2Fm)
Part b)
![b = 1795.4 kg/s](https://tex.z-dn.net/?f=b%20%3D%201795.4%20kg%2Fs)
Explanation:
Part a)
as the mass of the suspension system is given as
![m = 2100 kg](https://tex.z-dn.net/?f=m%20%3D%202100%20kg)
also we have
![x = 8.5 cm](https://tex.z-dn.net/?f=x%20%3D%208.5%20cm)
so now for force balance we have
![mg = kx](https://tex.z-dn.net/?f=mg%20%3D%20kx)
![(525)(9.81) = k(0.085)](https://tex.z-dn.net/?f=%28525%29%289.81%29%20%3D%20k%280.085%29)
![k = 6.06 \times 10^4 N/m](https://tex.z-dn.net/?f=k%20%3D%206.06%20%5Ctimes%2010%5E4%20N%2Fm)
Part b)
Now we know that amplitude decreases by 63% in each cycle
so after one cycle the amplitude will become 37% of initial amplitude
so it is given as
![A = 0.37 A_o](https://tex.z-dn.net/?f=A%20%3D%200.37%20A_o)
also we know
![A = A_o e^{-bt/2m}](https://tex.z-dn.net/?f=A%20%3D%20A_o%20e%5E%7B-bt%2F2m%7D)
![0.37 A_o = A_o e^{-bt/2m}](https://tex.z-dn.net/?f=0.37%20A_o%20%3D%20A_o%20e%5E%7B-bt%2F2m%7D)
![\frac{bt}{2m} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bbt%7D%7B2m%7D%20%3D%201)
![b = \frac{2m}{t}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B2m%7D%7Bt%7D)
here t = time period of one oscillation
so it is
![t = 2\pi\sqrt{\frac{m}{k}}](https://tex.z-dn.net/?f=t%20%3D%202%5Cpi%5Csqrt%7B%5Cfrac%7Bm%7D%7Bk%7D%7D)
![t = 2\pi\sqrt{\frac{525}{6.06 \times 10^4}}](https://tex.z-dn.net/?f=t%20%3D%202%5Cpi%5Csqrt%7B%5Cfrac%7B525%7D%7B6.06%20%5Ctimes%2010%5E4%7D%7D)
![t = 0.58 s](https://tex.z-dn.net/?f=t%20%3D%200.58%20s)
now damping constant is
![b = \frac{2(525)}{0.58}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B2%28525%29%7D%7B0.58%7D)
![b = 1795.4 kg/s](https://tex.z-dn.net/?f=b%20%3D%201795.4%20kg%2Fs)
Answer:
please tell me what does w.r mean ? then I will try to give answer
A person's mental or physical condition.
Answer:
-8
Explanation:
sea level is another way of saying zero. If something is above or above sea level it is a positive integer. like a regular number. if something is below sea level it is a negative integer like negative numbers. They said 8 is the elevation but new orleans is BELOW sea level. that means the integer we are looking for is going to be a negative number. 8 is the number they told us and since it is below the sea level. The integer of new orleans that represents its elevation is -8.