(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A pendulum of length L with a bob of mass M hangs vertically. The bob is attached to a horizontal spring that has a force constant k. When the bob is directly below the pendulum support, the spring is unstretched. (a) Derive an expression for the period of the oscillating system for small amplitude vibrations.

2. Relevant equations

x = Acos(wt)

w = 2pi/ T

E = 1/2 k A^2

w = sqrt (k/m) for a spring

w = sqrt (g/ L) for a pendulum

3. The attempt at a solution

I'm pretty sure I need to use energy for this problem but I'm having trouble understanding the system itself.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Archived Simple Harmonic Motion - Spring-Pendulum-Mass System

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**