Solving a Tough Torques Problem: Finding Tension in a Cable | Homework Help

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In summary, the problem involves using two cables to support a 24kg mass on a 1.6m long uniform horizontal beam. The mass is 0.6m from the right cable. To find the tension in the right cable, the left side of the beam is chosen as the pivot point. The forces acting on the beam and masses are considered, and the net torque must be zero for equilibrium. The resulting tension in the right cable is 190 N.
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Homework Statement



Two cables are used to support a 24kg mass on 1.6 m long 8.0 kg unifrom horizontal beam. One cable is on each end of the beam and the mass is 0.6m from the right cable. What is the tension in the right cable?

Homework Equations


t=Fd
Fg= mg



The Attempt at a Solution



I really don't know where to set my pivot point... I have tried multiple approaches.. the answer is 190 N. How do I separate the torque caused by the mass between the two cables?

Thanks,

Aneil
 
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  • #2
Since you just need to find the tension in the right cable, pick the left side of the beam as your pivot point.

What forces act on the beam+masses? Where do they act? What torque does each force produce about your chosen pivot point? For equilibrium, what must the net torque be about any point?
 
  • #3
Thanks Doc Al, seems simple in hindsight but you got me on the right track...:D Great help:)
 

1. What is a tough torques problem?

A tough torques problem is a physics problem that involves calculating the rotational force or torque on an object. This can be a challenging problem because it requires understanding of both linear and rotational motion, as well as various physical principles such as Newton's laws and torque equations.

2. How do you solve a tough torques problem?

To solve a tough torques problem, you first need to identify the given values and the unknown value that you are trying to solve for. Then, you can use the appropriate torque equation (such as τ = r x F or τ = Iα) to set up an equation and solve for the unknown variable. It is important to also consider the direction of the torque and use the right-hand rule to determine the direction of the resulting rotation.

3. What are some common mistakes when solving tough torques problems?

One common mistake is forgetting to convert units to the correct SI units before plugging them into the torque equation. Another mistake is not considering the direction of the torque and using the wrong sign for the resulting rotation. It is also important to make sure all forces acting on the object are accounted for and to use the correct lever arm (perpendicular distance from the axis of rotation) when calculating torque.

4. Can you give an example of a tough torques problem?

Yes, an example of a tough torques problem could be calculating the torque required to open a door, given the distance from the hinges to the doorknob, the force applied to the doorknob, and the mass distribution of the door. This problem would involve using the torque equation τ = r x F and considering the direction of the torque.

5. How can understanding tough torques problems be useful in real life?

Understanding tough torques problems can be useful in various real-life situations, such as designing machinery or structures that need to withstand rotational forces. It can also be helpful in sports, such as baseball or golf, where players need to understand the mechanics of hitting and throwing objects with the right amount of force and rotation. Additionally, understanding torque can be beneficial for everyday tasks, such as opening jars or using tools.

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