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.

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=

Where g=

Using the formula

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

sine

step-by-step explanation: