• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Archived Simple Harmonic Motion - Spring-Pendulum-Mass System

  • Thread starter cpin11
  • Start date
1
0
1. Homework Statement

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. Homework 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.
 
193
28
Draw a picture if it helps.

Since you're given the force constant for the spring it might be easier to consider the forces on the bob.
 

gneill

Mentor
20,489
2,615
From the READ ME pinned thread for this forum:
Members are free to work on these older homework threads. Know that none of these problems are relevant to the OP because of their age. So it's best not to ask the OP questions because they likely won't respond, but they may. The point is that you should work with what you are provided to solve the problems without the OP's input. Members are encouraged to collaborate with others within the thread. Creative and alternate methods are also encouraged. Full solutions are acceptable.
 

Want to reply to this thread?

"Simple Harmonic Motion - Spring-Pendulum-Mass System" You must log in or register to reply here.

Related Threads for: Simple Harmonic Motion - Spring-Pendulum-Mass System

Replies
4
Views
2K
Replies
11
Views
2K
Replies
2
Views
1K
Replies
2
Views
3K
Replies
3
Views
8K
Replies
2
Views
1K
Replies
5
Views
13K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top