What is the net torque on a pivoted metal plate due to three forces?

In summary, a square metal plate pivoted at its center and perpendicular to the plate has three forces - F1 = 18.0 N, F2 = 17.0 N, and F3 = 14.6 N - acting on it in the plane of the page. The net torque about the pivot point is calculated using the equation T = Frsin(x) and taking positive torques to be counterclockwise. When solving the problem, it is important to note that F3 is perpendicular to the diagonal through O, and therefore should not be included in the calculation of net torque.
  • #1
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Homework Statement


A square metal plate 0.180m on each side is pivoted about an axis through point O at its center and perpendicular to the plate. Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 18.0 N, F2 = 17.0 N, and F3 = 14.6 N. The plate and all forces are in the plane of the page. Take positive torques to be counterclockwise.

http://session.masteringphysics.com/problemAsset/1039975/3/yf_Figure_10_40.jpg


Homework Equations



Torque=Frsin(x)

The Attempt at a Solution



I tried to solve this problem by adding 0.09[-Torque1 + Torque2 + Torque3 sin(45)], giving me an answer of 0.839 which was the not right and then I tried using half the length of the diagonal of the square as the radius which was 0.127, giving me a net torque of 1.19 which was also wrong. How do I do this problem then?
 
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  • #2
Check the torque 3. F3 is perpendicular to the diagonal through O.
 

1. What is the Metal Plate Torque Problem?

The Metal Plate Torque Problem is a scientific question that deals with the torque, or rotational force, exerted on a metal plate when a force is applied to it. It is commonly used in engineering and physics to test the strength and stability of various materials.

2. How is the Metal Plate Torque Problem solved?

The Metal Plate Torque Problem can be solved using the basic principles of torque, such as the formula T = F x d, where T is the torque, F is the applied force, and d is the distance from the axis of rotation to the point where the force is applied. Additionally, the properties of the metal plate, such as its thickness, shape, and material, can also affect the solution.

3. What factors can affect the outcome of the Metal Plate Torque Problem?

Several factors can affect the outcome of the Metal Plate Torque Problem, including the properties of the metal plate, the applied force, the distance from the axis of rotation, and any external forces acting on the plate. Additionally, the type of support or constraint used for the plate can also have an impact on the solution.

4. What are the real-world applications of the Metal Plate Torque Problem?

The Metal Plate Torque Problem has various real-world applications, including in the design and testing of structures such as bridges, buildings, and vehicles. It can also be used in the manufacturing process to determine the strength and stability of materials used in various products.

5. How can the Metal Plate Torque Problem be used to improve our understanding of materials?

By solving the Metal Plate Torque Problem, scientists and engineers can gain a better understanding of the strength and stability of different materials. This knowledge can then be used to improve the design and construction of various structures, leading to safer and more efficient use of materials in different industries.

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