Posted by **falcon306** on Saturday, July 30, 2011 at 9:32pm.

A compact car has a mass of 1400kg. 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.

What is the spring constant of each spring if the empty car bounces up and down 1.9 times each second?

What will be the car's oscillation frequency while carrying four 68kg passengers?

- Physics -
**drwls**, Saturday, July 30, 2011 at 10:11pm
The oscillation frequency is

f = [1/(2 pi)]sqrt (K/m)

K is the overall spring constant of the four springs in parallel. The k for each individual spring is K/4.

Use the first equation to solve for k and then use k = K/4.

For your second question, m increases from 1400 to 1400 + 4*68 = 1672 kg. That will multiply the original oscillation frequency by a factor sqrt(1400/1672) = 0.9151

- Physics -
**falcon306**, Saturday, July 30, 2011 at 10:50pm
I'm not sure how to solve for k though.

- Physics -
**drwls**, Saturday, July 30, 2011 at 11:45pm
With a bit of algebra applied to the equations above.

4 pi^2 f^2 = K/m

K = 4 pi^2*m*f^2

k = K/4 = pi^2*m*f^2

## Answer This Question

## Related Questions

- PHYSICS HELP! - A compact car has a mass of 1400kg. Assume that the car has one ...
- physics - A compact car has a mass of 1150 kg. Assume that the car has one ...
- physics - An automobile can be considered to be mounted on four identical ...
- Physics SHM - An automobile can be considered to be mounted on four identical ...
- physics - The shock absorbers in the suspension system of a car are in such bad ...
- physics - The shock absorbers in the suspension system of a car are in such bad ...
- Physics - The body of a 1269 kg car is supported on a frame by four springs. The...
- physics - The body of a 1285 kg car is supported on a frame by four springs. The...
- Physics - The body of a 1297 kg car is supported on a frame by four springs. The...
- Physics - A single mass (m1 = 3.2 kg) hangs from a spring in a motionless ...

More Related Questions