Frictional forces acting on log Application of Newtons Laws

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When a horizontal force of 706 N is applied to a 97.8 kg log moving at constant speed, the resistive (frictional) force acting on the log is equal to 706 N, indicating that the forces are balanced. To pull the log with an acceleration of 1.46 m/s², the required horizontal force must account for both the frictional force and the force needed to accelerate the log. Using Newton's second law, the total force needed can be calculated by adding the frictional force to the product of mass and acceleration. The log is in equilibrium at constant speed, which means the net force is zero, but this does not negate the presence of friction. Understanding these principles is crucial for solving similar physics problems.
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
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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