Thursday

December 25, 2014

December 25, 2014

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

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 10:11pmThe 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 10:50pmI'm not sure how to solve for k though.

- Physics -
**drwls**, Saturday, July 30, 2011 at 11:45pmWith 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 - When four people with a combined mass of 320 kg sit down in a car, ...

COLLEGE PHYSICS - A car with mass of 1400kg is towed with a net force of 4500N. ...

Physics - Two people with a combined mass of 135 kg hop into an old car with ...

Physics - Two geekie physics students with a combined mass of 131 kg jump into ...

physics - Please decide which of the following statements for car collisions are...

physics - A compact car, mass 755 kg, is moving at 1.00 ✕ 102 km/h toward...