Simple Harmonic Motion of bobble toy

AI Thread Summary
The discussion focuses on calculating the spring constant and mass of a cat bobble head doll, which oscillates with a frequency of 3 Hz and stretches the spring by 2 cm when in equilibrium. The relevant equation for simple harmonic motion, T = 2π√(m/k), is introduced but poses a challenge since both mass and spring constant are unknown. The relationship between the spring constant (k) and mass (m) can be derived from the spring's stretch under gravitational force. The key insight is that the spring's stretch indicates how k relates to m, allowing for further calculations. Understanding these relationships is essential for solving the problem effectively.
Jennisa
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*note: my previous thread will be deleted because I didn't include relevant equations + I put two unrelated problems in the same thread.

1. Homework Statement
A cat bobble head doll consists of a weighted head on top of a spring. When the head hangs straight sown in equilibrium, it is observed that the spring stretches 2cm. When the head is displaced upward by 1 cm, it is observed to oscillate with a frequency of 3 Hz.

a) Find the spring constant of the bobble head
b) Find the mass of the bobble head

Homework Equations



T = 2pi square root (m/k)

The Attempt at a Solution



I tried to use the formula T = 2pi square root(m/k) to find m and k but I cannot use this because the mass and k are not given.
 
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No, but you know that the spring stretches 2 cm under a force mg. What does that tell you about the relationship between k and m ?
 

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