What is the net torque on a square metal plate if given three forces?

In summary, the net torque about the axis through point O due to the three forces is -2.07 Nm. The sign convention for torque is CCW torques are positive and CW torques are negative. The torque due to force F3 should be recalculated.
  • #1
ahero4eternity
10
0
yg.10.45.jpg


A square metal plate 0.180 meters 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 = 27.0 N and F3 = 14.0 N. The plate and all forces are in the plane of the page.




Torque = Force x Length
Length = 1/2 x 0.180
Torque = radius x F sin theta




T1 (1.62) - T2 (2.43) - T3 (1.26) = -2.07

Shouldn't T1 be positive since it is going in the CW direction, while T2 and T3 are negative since they are going in the CCW direction? Where am I going wrong?
 
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  • #2
ahero4eternity said:
T1 (1.62) - T2 (2.43) - T3 (1.26) = -2.07

Shouldn't T1 be positive since it is going in the CW direction, while T2 and T3 are negative since they are going in the CCW direction? Where am I going wrong?
The usual sign convention is to take CCW torques to be positive and CW torques to be negative. More important that sign convention: Recalculate the torque due to force F3.
 
  • #3
Thanks. After 15 mins of struggling, I finally figured it out where I went wrong with T3. :)
 

Related to What is the net torque on a square metal plate if given three forces?

1. What is a square metal plate torque?

A square metal plate torque is a measurement of the rotational force or moment applied to a square metal plate. It is a measure of how much twisting or turning force is being exerted on the plate.

2. How is square metal plate torque measured?

Square metal plate torque is typically measured using a torque wrench, which is a tool that applies a specific amount of force to rotate a bolt or nut. The amount of force applied is measured in units of torque, such as newton-meters or foot-pounds.

3. What factors affect square metal plate torque?

Several factors can affect square metal plate torque, such as the size and shape of the plate, the material it is made of, and the amount of force being applied. It can also be affected by external factors like friction and the presence of other objects that may impede the plate's movement.

4. Why is square metal plate torque important?

Square metal plate torque is important because it allows us to accurately measure and control the amount of rotational force being applied to the plate. This is crucial in industries such as engineering, construction, and manufacturing, where the precise application of torque is necessary for the proper functioning of machinery and equipment.

5. How can square metal plate torque be adjusted?

Square metal plate torque can be adjusted by changing the amount of force being applied to the plate. This can be done by using different tools or by adjusting the settings on a torque wrench. It is important to carefully follow the manufacturer's instructions and use the correct amount of torque to avoid damaging the plate or surrounding equipment.

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