I'm Stuck on Solving This - R2 Confuses Me

Click For Summary

Homework Help Overview

The discussion revolves around a physics problem involving torque and forces acting on a plank supported at two points. Participants are trying to understand the role of various forces and distances, particularly the significance of the variable r2 in the context of tipping and balance.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces acting on the plank, including the weights of the plank and a person, and how they relate to the pivot point. There are questions about the definitions of variables and the setup of the problem, particularly regarding the torque equations and the conditions for tipping.

Discussion Status

Some participants are clarifying their understanding of the problem setup and the forces involved. There is an exploration of different methods to approach the problem, including the suggestion to use the second support as a pivot point. While some participants express confusion, others are beginning to grasp the concepts involved.

Contextual Notes

Participants note that the diagram provided is difficult to interpret, and there are concerns about the definitions of certain variables. The discussion includes the realization that the first support may not exert any force if the plank is tipping, which raises questions about the balance of moments in the system.

Bookdigger
Messages
6
Reaction score
4
Homework Statement
A 140 lb painter is standing on a uniform plank weighing 15 lbs. and of length 12 feet. It is resting on two supports 1.5 feet from each end, as shown below. How far to the right can he move without tipping the plank (give the distance from the end of the plank)
Relevant Equations
Tccw=Tcw
I tried solving this and realized that I have no idea what r2 is and I can't just insert an equation there
16363418837973943539194845169836.jpg
 
Physics news on Phys.org
Your diagram is hard to read, and I am not sure what some of your variables mean. Please define them.
I don’t understand how you get a torque equation with a term having a factor (M+m). The weights of those act at different offsets, not some common offset 'a' from somewhere.
Your diagram has the man between the supports. No risk of tipping there.
 
Sorry about that. F1 and F2 are the forces pushing upwards from the supports, I added them together for my counterclockwise direction, which is where i got (M+m)g since F1=mg and F2=Mg. This is the actual diagram without any labelled forces
1636388506379.png
 
I also just realized that I tried to solve this question using the wrong method. I thought that both supports should have forces but I just realized that if we're talking about the plank tipping then the first support should have no forces.
Sorry if I make no sense, the way I solve equations is weird.
 
Bookdigger said:
... if we're talking about the plank tipping then the first support should have no forces.
In that case, is there some point about which you can take moments (torques) to make the problem simple?
 
Yup, if the second support (N2) becomes the pivot point then it should make things easier
 
  • Like
Likes   Reactions: Steve4Physics
haruspex said:
Your diagram is hard to read, and I am not sure what some of your variables mean. Please define them.
I don’t understand how you get a torque equation with a term having a factor (M+m). The weights of those act at different offsets, not some common offset 'a' from somewhere.
Your diagram has the man between the supports. No risk of tipping there.
mg is the force of gravity pushing down on the plank, Mg is the person pushing down on the plank, r1 is the distance between mg and the pivot point, r2 is the distance between the person and the pivot point, a is the distance the person can walk without tipping the plank
 
Bookdigger said:
mg is the force of gravity pushing down on the plank, Mg is the person pushing down on the plank, r1 is the distance between mg and the pivot point, r2 is the distance between the person and the pivot point, a is the distance the person can walk without tipping the plank
That is a little too complicated.
Without that person on the plank, each support is holding half of 15 lbf.
Moments respect to the right support are balanced: CCW moment (15 lbf x 4.5 feet) and CW moment (7.5 lbf (reactive force of left support) x 9 feet).

Then, you place the140 lbf of that person on the right side of the right support.
How far that person can move toward the right before making that left reactive force disappear and breaking the balance of moments?
 
I can understand it now, I also watched a youtube video solving a similar question so I think I'm good now, thank you though
 
  • Like
Likes   Reactions: berkeman and Lnewqban

Similar threads

  • · Replies 6 ·
Replies
6
Views
897
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
2K
Replies
7
Views
2K
Replies
24
Views
4K
  • · Replies 2 ·
Replies
2
Views
876
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
1
Views
1K