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

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The discussion revolves around calculating net torque about an axis through point A on a massless rod. The initial calculations yield a net torque of 5.829 Nm, while the textbook states it should be 16.8 Nm, leading to confusion about the correct use of sine and cosine for the forces involved. Participants clarify that the horizontal component of the 10N force does not contribute to torque since it passes through the axis of rotation, and the correct approach involves using the sine of the angles based on their orientation relative to the axis. Ultimately, the correct net torque is confirmed as 16.8 Nm, with the importance of understanding force components emphasized. The discussion highlights the significance of accurately identifying the angles and components when calculating torque.
  • #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
 
  • #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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Likes paulimerci and Lnewqban
  • #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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