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

Moments question

  • Thread starter Boogeyman
  • Start date
  • #1
73
0

Homework Statement


A bicycle of a mass 15kg resting in a vertical position, with the front and back wheels touching the horizontal ground at points P and Q respectively, where PQ=1m. The centre of gravity of the bike is vertically above O, a point on PQ where PO=30cm.

Given that the normal reactions of the ground on the front and rear where are R1 and R2, write 2 equations in R1 and R2 which satisfy the conditions of equilibrium.


The Attempt at a Solution


So I know you have to use the principle of moments to give the equations. I am just unsure where the pivot is. Is it at the line of center of gravity of the bicycle?
 

Answers and Replies

  • #2
3,003
2
The pivot can be at any point that you choose. Since it asks for the equation in R1 and R2, then yes take them about O. If you draw it out, you know the horizontal distances d1 and d2 from O to R1 and R2.
 
  • #3
73
0
Ok, taking O as the pivot I get:

Eqn 1:
sum of CM=sum of ACM
0.3R1=0.7R2

Eqn 2:
sum of upward forces=sum of downward forces
R1 + R2=150

I'm assuming that's the answer?
 

Related Threads for: Moments question

Replies
4
Views
5K
  • Last Post
Replies
1
Views
490
  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
10
Views
547
  • Last Post
2
Replies
25
Views
4K
  • Last Post
Replies
1
Views
418
  • Last Post
Replies
7
Views
4K
  • Last Post
Replies
7
Views
2K
Top