How Does Torque Depend on the Position of Forces Acting on a Pen?

  • Thread starter Kurwa
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In summary, when the center of mass of a pen is directly in the middle, all forces acting on it from different angles are equal in magnitude. According to the fact that if the line of action passes through the center of mass, there is rarely any torque, the force furthest from the center of mass will have the largest torque compared to the forces closer to the center of mass. Thus, the ranking of most torque can be determined by the distance of the force from the pivot through a line that makes a perpendicular with the pivot.
  • #1
Kurwa
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Homework Statement


Assume you have a pen- where its center of mass is directly in the middle of the pen. There are about 6 forces acting on it from different angles...

how would you rank the most torque


all forces are equal of magnitude.

The Attempt at a Solution



im using this fact- if the line of action passes through the center of mass then there is rarely any torque.. and also if the line furthes from the center of mass has the largest torque compared to the forces that are close to the center of mass but don't cross it.

soo am i right or am i wrong ?
 
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  • #2
Kurwa said:
im using this fact- if the line of action passes through the center of mass then there is rarely any torque.. and also if the line furthes from the center of mass has the largest torque compared to the forces that are close to the center of mass but don't cross it.

soo am i right or am i wrong ?

First of all if by rarely you mean zero, then that is correct.

The other torques may be judged by their distance away from the pivot through any line that makes a perpendicular with the pivot.

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  • #3


I would like to clarify that torque is a measure of the rotational force applied to an object. In order to determine the most torque in this scenario, we would need to know the direction and magnitude of each force acting on the pen. Without this information, it is not possible to rank the forces in terms of torque.

Additionally, the statement "if the line of action passes through the center of mass then there is rarely any torque" is not entirely accurate. While it is true that a force passing through the center of mass will not create a torque, there are other factors such as the distance from the center of mass and the angle at which the force is applied that also affect the torque.

In conclusion, without more information about the forces acting on the pen, it is not possible to accurately determine the most torque. As a scientist, it is important to consider all relevant factors and gather all necessary data before making any conclusions or rankings.
 

FAQ: How Does Torque Depend on the Position of Forces Acting on a Pen?

What is torque?

Torque is a measure of the force that causes an object to rotate around an axis. It is commonly measured in units of Newton-meters (Nm) or foot-pounds (ft-lb).

How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied. This can be represented by the equation T = F x d, where T is torque, F is force, and d is distance.

What is the difference between torque and force?

While both torque and force involve the application of a force, torque specifically refers to the rotational force applied to an object, while force can act in any direction. Additionally, torque is measured in units of rotational force, while force is measured in units of mass times acceleration.

How does torque affect rotational motion?

Torque is responsible for causing rotational motion in an object. The greater the torque applied, the greater the rotational acceleration of the object will be. This is why torque is an important concept in understanding the movement of objects such as wheels, gears, and motors.

Can torque be negative?

Yes, torque can be negative. This occurs when the force is applied in a direction opposite to the direction of rotation. Negative torque can also be thought of as resisting the rotational motion of an object.

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