Calculating Frequency of Vertical Oscillation for a Spring-Mass System

[fernancb]

Homework Statement

A spring is suspended from a ceiling and has a block attached to its lower end. The block is held a distance y1 from the ceiling (at this point the spring is at its rest length) and released. The block oscillates up and down with its lowest point being 0.091 m below y1. Find the frequency of the motion.

Homework Equations

a(max) = -w^2 *A
y(t) = A cos (wt + phi)

The Attempt at a Solution

a(max) = -w^2*A = -9.8
w^2 = 108
f = 1.65 /s


Someone please help

 

[ehild]

The block oscillates between the highest and lowest points but the amplitude is half of the distance between them.

ehild