Moment Arm: Determine Torque Vector & Qty

In summary, the conversation discusses determining the torque vector and quantity of said vector using a sketch attached. The weight acts at the mass center and the force vector is drawn straight down from there. The direction of the force is important for determining torque, but not for the linear force at the axle. The 200 ftlbs torque would twist the stationary axle in a counterclockwise direction, despite being attached to the opposite side of the acting force.
  • #1
Pinon1977
126
4

Homework Statement


I'm trying to determine the torque vector and quantity of said vector per the sketch attached.

Homework Equations



T=fd[/B]

The Attempt at a Solution



T = 100 lbs x 2 f2f
T= 200 ftlbs

But my real question is where is that Force being applied at is it the attachment point to the axle or is it relative to its position in space and the vector would be straight down?
 

Attachments

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  • #2
Pinon1977 said:
where is that Force being applied
The weight acts at the mass centre of the mass, so you would draw the force vector straight down from there. This is important for determining the torque it has about the axle, but for the purpose of figuring out the linear force at the axle the line of action does not matter, only the direction.
 
  • #3
Ok, noted. So the 200ft lbs in this instance would be twisting the stationary axle in a CCW direction? Even though its attached to the opposite side of the acting force?
 
  • #4
Pinon1977 said:
Ok, noted. So the 200ft lbs in this instance would be twisting the stationary axle in a CCW direction? Even though its attached to the opposite side of the acting force?
Yes. The path the rigid member takes from axle to point of application of force is irrelevant. You could make the member an entire disc centred on the axle.
 

Related to Moment Arm: Determine Torque Vector & Qty

1. What is moment arm?

The moment arm, also known as the lever arm, is the perpendicular distance from the axis of rotation to the line of action of the force. It is an important component in determining the amount of torque or rotational force exerted by a force.

2. How do you determine the torque vector?

The torque vector is determined by multiplying the magnitude of the force by the length of the moment arm. The direction of the torque vector is perpendicular to both the force vector and the moment arm, following the right-hand rule.

3. Why is the moment arm important in calculating torque?

The moment arm is important because it determines the effectiveness of a force in creating a rotational movement. A longer moment arm will result in a greater torque, while a shorter moment arm will result in a smaller torque.

4. How does the angle of the force affect the moment arm?

The angle of the force affects the moment arm by changing the perpendicular distance from the axis of rotation to the line of action of the force. A force applied at a right angle to the axis of rotation will have the maximum moment arm and therefore the maximum torque. A force applied at an angle will have a smaller moment arm and therefore a smaller torque.

5. What are some real-life applications of moment arm and torque?

Moment arm and torque are important concepts in fields such as engineering, physics, and biomechanics. They are used in designing machines and structures, calculating the forces on a lever or pulley system, and understanding the mechanics of human movement. For example, moment arm and torque are crucial in determining the effectiveness of muscles in creating movement and maintaining balance in the human body.

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