Question

uppose that a car weighing 4000 pounds is supported by four shock adsorbers, each with a spring constant of 540 lbs/inch. Assume no damping and determine the period of oscillation TT of the vertical motion of the car.

Answer 1

0.435 s

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=
`2\pi\sqrt{(m)/(k)}=2\pi\sqrt{(w)/(gk)`

Where g=
`386 in/s^2`

`\pi=3.14`

Using the formula

`T=2* 3.14\sqrt{(4000)/(386* 2160)}=0.435 s`

Hence,the period of oscillation of the vertical motion of the car=0.435 s