Determining moment (or torque) around a certain point on a wrench

In summary, moment or torque is a measure of the turning force applied to an object, calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. It is measured in newton-meters (N·m) in the metric system and foot-pounds (ft·lbf) in the imperial system. To determine the moment or torque around a specific point on a wrench, you need to measure the force applied and the distance from the point of rotation, and then multiply them together. This information is important in designing and building machines and performing everyday tasks such as tightening bolts, as it helps understand the amount of force needed to rotate an object. Additionally, the moment or
  • #1
Rildude
1
0
Homework Statement
How much moment (or torque) is produced about point O by the wrench in the situation below?
Relevant Equations
Varignon’s theorem (principle of moments) (sum of forces and moments must be equal)
Here's a diagram of the problem. There are 3 possible solutions: 163 in-lb clockwise, 163 in-lb counterclockwise, 82.7 clockwise or none of them. After attempting the problem the closest I got to was 82.7 but that was wrong so I'm still stuck.
Screenshot 2020-05-11 at 12.00.58 AM.png
 
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  • #2
Welcome, Rildude :cool:

Please, show us your work so far.

If the applied 20 pounds of force were perfectly vertical, how much the value of the resultant torque would be?
From that value, how much less torque on O the 30-degree direction of application and the 1-inch off set would cause?
 

FAQ: Determining moment (or torque) around a certain point on a wrench

What is the formula for calculating moment or torque?

The formula for calculating moment or torque is force multiplied by the perpendicular distance from the point of rotation to the line of action of the force. This can be represented as M = F * d, where M is the moment or torque, F is the force, and d is the distance.

How do you determine the direction of the moment or torque?

The direction of the moment or torque is determined by the right-hand rule. If you point your right thumb in the direction of the force and curl your fingers towards the direction of rotation, your fingers will point in the direction of the moment or torque.

Can you have a negative moment or torque?

Yes, a negative moment or torque can occur if the force and the direction of rotation are in opposite directions. This means that the object will rotate in the opposite direction of the force applied.

How does the length of the wrench affect the moment or torque?

The length of the wrench affects the moment or torque by increasing or decreasing the perpendicular distance from the point of rotation to the line of action of the force. The longer the wrench, the greater the moment or torque will be.

What are some real-world applications of calculating moment or torque?

Calculating moment or torque is used in many areas of science and engineering, such as designing structures, analyzing forces in machines, and understanding the movement of objects in physics. It is also important in everyday tasks, such as using a wrench to tighten or loosen bolts.

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