Three different weights are suspended from three different springs. Each spring has an elasticity coefficient of 18.5. The equation for the vertical displacement is where t is time,
k is the elasticity coefficient, and m is the mass of the weight.
a. The first weight has a mass of 0.4 kilogram. Find the period and frequency of this spring.
b. The second weight has a mass of 0.6 kilogram. Find the period and frequency of this spring.
c. The third weight has a mass of 0.8 kilogram. Find the period and frequency of this spring.
d. As the mass increases, what happens to the period?
e. As the mass increases, what happens to the frequency?