M=Fl solve a Moments problem (force X distance)

  • Thread starter Drizzy
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In summary, the pliers have two pieces, one with a 20N force and one with a 3Nm force, and the two forces are totally independent from each other. If the forces on the second piece don't cancel those on the first piece, the whole apparatus will accelerate.
  • #1
Drizzy
210
1
1. The problem statement, all variables and given

http://imgur.com/kxALo8w


with how much force is the wire pinched?

Homework Equations


M=Fl

The Attempt at a Solution


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I don't know how I am supposed to do this. This is my attempt:

0,15 * 20 = 3Nm

and now what?
 
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  • #2
Drizzy said:
and now what?
Use the same formula again. This time you know torque and distance and want to get the force.
 
  • #3
but the force is 20 and 20 so I donät know what to do..
 
  • #4
Forget the 20 N force, you used that to calculate torque, it is not necessary any more. Yes you have the force from both sides, but you also want to apply it on both sides at the wire, so that doesn't matter.

You have a torque of 3 Nm and you use it to apply a force at a distance of 1.5 cm. What is the force?
 
  • #5
the force is 200N but I don't understand why that's how it is done
 
  • #6
Because M=F*l works.

Alternatively, consider the lever arms. They have a length ratio of 10:1, so force has a ratio of 1:10. You can apply a force of 200 N on the wire from both sides.
 
  • #7
hmm O am confused :/ what if i did it like this:

20* 0,015=F*0,15

This force is not 200N
 
  • #8
Drizzy said:
hmm O am confused :/ what if i did it like this:

20* 0,015=F*0,15

This force is not 200N
It looks like 200N to me !
 
  • #9
SammyS said:
It looks like 200N to me !

it is 2N
 
  • #10
Drizzy said:
it is 2N
I didn't look closely enough.

You switched things up compared to post #1.
 
  • #11
SammyS said:
I didn't look closely enough.

You switched things up compared to post #1.
yes that's the thing. why don't I get 200 N in my second attempt? I think the problem is is that I don't understand the scenario to begin with I just can't seem to grasp it :(...
 
  • #12
You swapped the distances, they should be at the other side of the equal sign, respectively.
 
  • #13
upload_2016-5-25_14-40-9.png


The pliers have two major pieces plus the pin as a pivot (fulcrum).

Each handle has a jaw at the other end, all one piece.

I have one such handle & jaw piece highlighted.

The 20N force (upward) on that handle produces a counter-clockwise torque, 3Nm, on that piece. The object in the jaw must produce a clockwise torque of 3Nm to have rotational equilibrium.

The torque pair on the other piece (handle &jaw) is totally independent from this. However, if the forces on the second piece don't cancel those on the first piece, the whole apparatus (pliers) will accelerate.
 

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  • #14
I get it now! thank you so much for your explanation :)
 

Related to M=Fl solve a Moments problem (force X distance)

1. How do you calculate the moment in a force X distance problem?

To calculate the moment in a force X distance problem, you need to multiply the force (F) by the distance (l) between the force and the pivot point. This can be represented by the equation: M = Fl.

2. What is the unit of measurement for moment in a force X distance problem?

The unit of measurement for moment in a force X distance problem is Newton-meters (Nm) in the SI system or pound-feet (lb-ft) in the imperial system.

3. Can you give an example of a moments problem involving force and distance?

Sure, an example of a moments problem involving force and distance would be a seesaw. If a person weighing 50 kg sits on one end of a seesaw that is 2 meters long, and another person weighing 60 kg sits on the other end, what is the moment created by the second person?

M = Fl = (60 kg)(9.8 m/s²)(2 m) = 1,176 Nm

4. How do you find the direction of the moment in a force X distance problem?

The direction of the moment in a force X distance problem is determined by the direction of the force and the direction of rotation around the pivot point. If the force is applied clockwise, the moment is considered negative, and if the force is applied counterclockwise, the moment is considered positive.

5. Can moments be balanced in a force X distance problem?

Yes, moments can be balanced in a force X distance problem. This occurs when the sum of the clockwise moments is equal to the sum of the counterclockwise moments. This concept is known as the principle of moments and is used to solve many real-world engineering problems.

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