Solve for the moment of this Torque

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In summary, "Solve for the moment of this Torque" involves calculating the rotational effect produced by a force applied at a distance from a pivot point. The moment of torque is determined by the formula τ = r × F, where τ is the torque, r is the distance from the pivot to the point where the force is applied, and F is the magnitude of the force. The direction of the torque is influenced by the angle at which the force is applied, and the analysis often requires considering the vector nature of the involved quantities.
  • #1
andychung0921
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Homework Statement
I have problem on T, is it T is clockwise so the answer is negative?
Relevant Equations
My answer is: M(A)= (Tv x 25)+(Tn x 15)-(300x40)

0=(T sin(5/13)) +(T cos(12/13))- 10200

T=11.27

Please clarify my answer, thank you
IMG_3823.jpeg
 
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  • #2
Welcome to PF.

Can you please provide the complete problem statement? Is that a 2-bar mass of some sort, welded at the join? It looks like the dimensions are in imperial units (feet, inches), what are the force units in? What are the units in the calculations you have shown?
 
  • #3
Welcome, Andy! :cool:

Why (300x40)?

Intuitively, do you believe that the CCW torque produced by 11.27 can counteract the CW torque produced by 300?

Note that the effective lever of T is about 0.7 the lever of 300.
 
  • #4
Lnewqban said:
Intuitively, do you believe that 11.27 can counteract 300?
Well, technically, it depends on the units, eh? :wink:
 
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FAQ: Solve for the moment of this Torque

What is torque?

Torque is a measure of the rotational force applied to an object around an axis. It is calculated as the product of the force applied and the distance from the axis of rotation (lever arm). The formula for torque (τ) is τ = r × F, where r is the distance from the pivot point to the point of force application, and F is the force applied.

How do you calculate the moment of torque?

The moment of torque can be calculated using the formula τ = r × F × sin(θ), where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the magnitude of the force, and θ is the angle between the force vector and the lever arm. If the force is applied perpendicular to the lever arm, sin(θ) equals 1, simplifying the equation to τ = r × F.

What units are used to measure torque?

Torque is commonly measured in Newton-meters (N·m) in the metric system or pound-feet (lb·ft) in the imperial system. These units represent the force applied multiplied by the distance from the pivot point.

What factors affect the moment of torque?

The moment of torque is affected by three main factors: the magnitude of the applied force, the distance from the pivot point (lever arm), and the angle at which the force is applied. Increasing any of these factors will increase the torque, while decreasing them will reduce the torque.

Why is understanding torque important in engineering and physics?

Understanding torque is crucial in engineering and physics because it helps in analyzing rotational motion and the behavior of structures under load. It is essential for designing mechanical systems, ensuring stability, and preventing failure in applications such as machinery, vehicles, and structural components.

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