Periodic Motion - Spring hung vertically from ceiling.

[rlukis]

Homework Statement

Consider a spring hung vertically from the ceiling.
a) When a 2kg mass is attached to the spring, the spring is stretched 0.10m. What is the force constant of the spring?
b) The 2kg mass is removed and a different one attached to the spring. It then undergoes simple harmonic motion with a period of 2/5 seconds. What is the inertia of the new mass?
c) You pulled the mass in part (b) so it undergoes simple harmonic motion with an amplitude of 10 cm. What are its maximum acceleration and velocity?
d) Taking upward to be positive, at what position in the motion do the maximum position, velocity and acceleration occur?
e) If we call the time where it is first passing through equilibrium position on the way up t = 0, write an equation of motion for the oscillation, x(t) =?, identifying the values of all constants that you use.

Homework Equations

The Attempt at a Solution

 

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