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

Balancing a Uniform Board

  • Thread starter srekai
  • Start date
  • #1
8
0
frfr1. Homework Statement
A 15 kg uniform wooden board of length L is balanced at its center. A 6 kg object is to be placed on the right end. How far from the balance point must a 9 kg object be placed to keep the board in equilibrium?

Homework Equations


##m_1d_1 = m_2d_2##

The Attempt at a Solution


Is it just ##6 \frac{L}{2} = 9 d_2##
##d_2 = \frac{L}{3}##? I guess I am not sure since they mention the weight of the wooden board, but since it is uniformly distributed, its weight shouldn't matter?
 

Answers and Replies

  • #2
tnich
Homework Helper
1,048
336
frfr1. Homework Statement
A 15 kg uniform wooden board of length L is balanced at its center. A 6 kg object is to be placed on the right end. How far from the balance point must a 9 kg object be placed to keep the board in equilibrium?

Homework Equations


##m_1d_1 = m_2d_2##

The Attempt at a Solution


Is it just ##6 \frac{L}{2} = 9 d_2##
##d_2 = \frac{L}{3}##? I guess I am not sure since they mention the weight of the wooden board, but since it is uniformly distributed, its weight shouldn't matter?
You are right, and I like that you have recognized that the mass of the board does not affect the answer.
 

Related Threads for: Balancing a Uniform Board

Replies
4
Views
3K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
7
Views
14K
  • Last Post
Replies
6
Views
6K
  • Last Post
Replies
13
Views
2K
  • Last Post
Replies
9
Views
5K
  • Last Post
Replies
3
Views
2K
Top