Calculate the net torque using all the forces

In summary, the net torque is calculated by finding the individual torques of each force and adding them together. The formula for net torque is &#931;T = r<sub>1</sub>F<sub>1</sub> + r<sub>2</sub>F<sub>2</sub> + ... + r<sub>n</sub>F<sub>n</sub>. Net torque can be negative, and the unit of measurement for torque is Newton-meters (N*m) or foot-pounds (ft-lb). The direction of a force affects the net torque by determining its positive or negative value and whether it is perpendicular or parallel to the axis of rotation.
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Homework Statement


In the figure below, a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle θ = 40°. The tension in the cable is 600 N.


Homework Equations



T=F x r

The Attempt at a Solution


I attempted to calculate the net torque using all the forces(mg and tension), so 0=mgsin(40) - Tension.
 

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  • #2
Nevermind got it. Used mg(l of rod/2)sin(theta)-T*lcos(theta)
 
  • #3
welcome to forum,
that's an easy problem. As the body is equilibrium net torque should be zero.
 

1. How do you calculate the net torque using all the forces?

To calculate the net torque, you need to first determine the magnitude and direction of each force acting on the object. Then, you will need to find the distance between each force and the axis of rotation. Finally, multiply each force by its respective distance and add all of the individual torques together to find the net torque.

2. What is the formula for calculating net torque?

The formula for calculating net torque is: ΣT = r1F1 + r2F2 + ... + rnFn, where ΣT is the net torque, r is the distance from the axis of rotation to the force, and F is the magnitude of the force.

3. Can you have a negative net torque?

Yes, you can have a negative net torque. This means that the forces acting on the object are causing it to rotate in the opposite direction of the desired rotation.

4. What is the unit of measurement for torque?

The unit of measurement for torque is Newton-meters (N*m) in the SI system or foot-pounds (ft-lb) in the English system.

5. How does the direction of a force affect the net torque?

The direction of a force affects the net torque by determining whether it is a positive or negative value. If the force is perpendicular to the axis of rotation, it will have the maximum effect on the net torque. If the force is parallel to the axis of rotation, it will have no effect on the net torque.

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