# Torque and vector related. Is this possible.

• Laurencio
In summary, torque is a measure of the force that causes an object to rotate around an axis. It is a vector quantity, meaning it has both magnitude and direction, and is related to vectors because it is also a vector quantity. Torque and vectors are commonly used in real-life situations, particularly in engineering and physics, and can have both positive and negative values. Torque is calculated by multiplying the force applied to an object by the distance between the point of application and the axis of rotation, represented as T = F x r.
Laurencio
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Welcome to PF.

Your diagram is a little confusing because the visualization of the moment arms is inconsistent.

The red is shown shorter when in fact it's moment arm is longer 3/2 > 4/5.

If it is in equilibrium then 2*4/5 = x*3/2 ==> x = 16/15

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I'd go with the numbers as the schematic is merely a visual aid.

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## 1. What is torque?

Torque is a measure of the force that can cause an object to rotate around an axis. It is a vector quantity, meaning it has both magnitude and direction. In simpler terms, it is the tendency of a force to cause an object to rotate.

## 2. How is torque related to vectors?

Torque and vectors are related because torque is a vector quantity. This means that it has both magnitude and direction, just like a vector. The direction of torque is determined by the direction of the force causing the rotation and the direction of the axis of rotation.

## 3. Can torque and vectors be applied to real-life situations?

Yes, torque and vectors are commonly used in real-life situations, particularly in engineering and physics. For example, they are used in designing machines, calculating forces on structures, and understanding the motion of objects.

## 4. Is it possible for torque to have a negative value?

Yes, torque can have a negative value. This means that the force causing the rotation and the axis of rotation are in opposite directions. In this case, the torque would rotate the object in the opposite direction of a positive torque.

## 5. How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance between the point of application of the force and the axis of rotation. Mathematically, it can be represented as T = F x r, where T is torque, F is force, and r is the distance.

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