Answer:
0.435 s
Step-by-step explanation:
Weight of car=m=4000 pounds
Spring constant for each shock absorber=k=540lbs/in
Effective spring constant=4k=4(540)=2160 lbs/in
We have to find the period of oscillation of the vertical motion by assuming no damping.
Time period, T=[tex]2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{w}{gk}[/tex]
Where g=[tex]386 in/s^2[/tex]
[tex]\pi=3.14[/tex]
Using the formula
[tex]T=2\times 3.14\sqrt{\frac{4000}{386\times 2160}}=0.435 s[/tex]
Hence,the period of oscillation of the vertical motion of the car=0.435 s
