Net torque about an axis through point A in a massless rod

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SUMMARY

The discussion centers on calculating the net torque about an axis through point A in a massless rod scenario. The correct formula for net torque is established as Net torque = (30)(sin45)(1.5) - (10)(sin30)(3), resulting in a value of 16.8 Nm, contrary to an initial miscalculation. Key errors identified include the incorrect application of cosine for the 30N force and misunderstanding the orientation of angles in relation to the axis of rotation. The participants emphasize the importance of using the correct trigonometric functions based on the angle's orientation with respect to the reference lines.

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  • Understanding of torque and its calculation in physics.
  • Familiarity with trigonometric functions, specifically sine and cosine.
  • Knowledge of force components and their relation to axes of rotation.
  • Ability to interpret diagrams and angles in physics problems.
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  • Study the principles of torque calculation in rigid body dynamics.
  • Learn about the role of trigonometric functions in resolving forces.
  • Explore the concept of moments and their application in physics.
  • Review common errors in mechanics related to force components and torque.
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Students and educators in physics, particularly those focusing on mechanics and dynamics, as well as anyone involved in solving problems related to torque and force components in engineering contexts.

  • #31
I’m not confused, I thought the reference line represents an arbitrary fixed line (as an x-axis or a polar axis) from which coordinates of a point are computed.
 
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  • #32
paulimerci said:
I’m not confused, I thought the reference line represents an arbitrary fixed line (as an x-axis or a polar axis) from which coordinates of a point are computed.
Sorry, I misunderstood your picture.

BEA3AE8C-7F2F-4B0D-9027-C26087594271.jpeg
 
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  • #33
paulimerci said:
I’m not confused, I thought the reference line represents an arbitrary fixed line (as an x-axis or a polar axis) from which coordinates of a point are computed.
Another way to look at the angle problem is to write the torque equation as ##\tau = \textbf{F} \times \textbf{d}##. The magnitude of the torque will be ##\tau = F d ~ sin( \theta )## where the angle is between and measured counterclockwise. To do this draw a quick sketch and place the tails of d and F at the same point.

-Dan
 
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  • #34
paulimerci said:
I’m not confused, I thought the reference line represents an arbitrary fixed line (as an x-axis or a polar axis) from which coordinates of a

Lnewqban said:
Sorry, I misunderstood your picture.

View attachment 317371
Thank you!
 
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