Frictional forces acting on log Application of Newtons Laws

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Homework Help Overview

The discussion revolves around the application of Newton's laws to a scenario involving a log being pulled by a rope, with a focus on understanding frictional forces and motion at constant speed.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relationship between pulling force and frictional force when the log moves at constant speed, questioning how forces interact in this context. Some participants discuss the implications of zero acceleration and whether the log is in equilibrium while moving.

Discussion Status

Some guidance has been offered regarding the equations of motion and the relationship between forces. Participants are actively engaging with the problem, with various interpretations being explored, particularly concerning the nature of forces when acceleration is zero.

Contextual Notes

Participants note the challenge posed by the assignment being given without prior coverage of the topic in class, leading to uncertainty about the concepts involved, particularly friction.

destro47
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A rope is tied to a 97.8 kg log. When you pull on the rope with a horizontal force of magnitude 706 N, the log moves at constant speed.

a) Find the magnitude of the resistive (frictional) force acting on the log. You may assume the frictional forces acting on the log is constant.
N

b) To pull the log with an acceleration of magnitude 1.46 m/s2, what is the magnitude of the horizontal force must you now exert on the rope? Assume the resistive force has not changed.

This one has really stumped me, I don't know where to begin as my physics class has not even covered friction yet. My professor assigned this as part of an online homework assignment for a lecture he did not even give (due to the recent holidays). He doesn't want to lose time because we have a lot of material to cover this semester. This is due tomorrow and it has stumped me all week, someone please HELP!
 
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For a,

The sum of the forces in the x direction = ma

Pulling force + Frictional force = m(0) (remember + or - signs depending on direction, friction acts against movement)

I think that should help.


For b, use the same value of the frictional force from part a, then

Pulling force + Frictional force = ma

solve for the pulling force...
 
The biggest problem that I had with this problem is that the log moves at constant v, so a=0. How can a force move on object with 0 acceleration? Is this log considered to be in equillibrium even if its moving?
 
so basically the answer is -706 N if i understand you correctly:

Pulling Force + Friction Force = m (0)


706 N + f = m (0)

f = 0 -706 N
 

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