Calculating Torque in a Hanging Rod System

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SUMMARY

The discussion focuses on calculating torque in a hanging rod system, specifically using the equation τ = rA × Fnet. Participants clarify that for a rod at rest, the net torque must equal zero, indicating a balance of forces. Key concepts include the role of the center of mass in determining gravitational force and the necessity of considering both gravitational and applied forces in torque calculations. The conversation emphasizes the importance of understanding torque equilibrium in static systems.

PREREQUISITES
  • Understanding of torque equations, specifically τ = rA × Fnet
  • Knowledge of center of mass and its significance in physics
  • Familiarity with static equilibrium conditions in mechanics
  • Basic grasp of forces acting on rigid bodies
NEXT STEPS
  • Study the implications of static equilibrium in rigid body mechanics
  • Learn about calculating torque in various physical systems
  • Explore the concept of center of mass and its applications in physics
  • Investigate the effects of different forces on torque calculations
USEFUL FOR

Physics students preparing for exams, educators teaching mechanics, and anyone interested in understanding the principles of torque and static equilibrium in physical systems.

Joosh
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Hey, folks! So upon studying for my Physics final tomorrow, I came across this question on the practice exam, which I know the answer is D from the solution key. However, I'm not sure how to get that for the answer.

1. Homework Statement
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Homework Equations


τ = rA × Fnet
LA = Ltrans, A + Lrot
Ltrans = rcm × Ptot
Lrot = r1 × p1 + r2 × p2 + ...

The Attempt at a Solution


I personally don't entirely know where to start. I'm going to guess this is a torque-related question, but I'm not sure if that's the right way to go at it.
 
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The rod is at rest when the force F is applied. What can you say about what the sum of the torques about the hinge must be for bodies at rest? No need to get involved with momentum
 
The net torque would equal zero.
 
Joosh said:
The net torque would equal zero.
So what are the torques? What equation do you get for a zero sum?
 
Would it just be gravity and the force pushing the rod upwards?
 
I asked one of the graduate teaching assistants about this and he was able to help me figure this out. I simply forgot that the center of mass is where gravity is pulling down on the rod.
 

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