A compact car has a mass of 1150 kg. Assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs.

Question

(a) What is the spring constant of each spring if the empty car bounces up and down 2.2 times each second?

(b) What will be the car's oscillation frequency while carrying four 80 kg passengers?

Answer 1

2PI*freq= sqrt (k/m)

a. the mass on each spring is 1150/4,

(2PI*2.2)^2*1150/4= k

b. freq= 1/2PI * sqrt (kabove/((
1150/4 + 80)