rational
  • rational
The figure shows an overhead view of a uniform stick on which four forces act. Suppose we choose a rotational axis through point O, calculate the torques about that axis due to the forces, and find that these torques balance. Will the torques balance if, instead, the rotational axis is chosen to be at (a) point A, (b) point B, or (c) point C? (d) Suppose, instead, that we find that the torques about point O do not balance. Is there another point about which the torques will balance?
AP Math
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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rational
  • rational
|dw:1446551109592:dw|
alekos
  • alekos
We need to know the angles and magnitudes of the forces
ikram002p
  • ikram002p
@Mashy

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ikram002p
  • ikram002p
|dw:1446554885176:dw|
UnkleRhaukus
  • UnkleRhaukus
Are all the forces of equal magnitude?
rational
  • rational
It is not given, so I think they could be anything...
rational
  • rational
1 Attachment
UnkleRhaukus
  • UnkleRhaukus
|dw:1446556479857:dw|
UnkleRhaukus
  • UnkleRhaukus
If the stick is balanced about O, then these forces ...\(\downarrow\) |dw:1446556688210:dw| ... must balance, right? And if the do, they must balance about A and B also.
UnkleRhaukus
  • UnkleRhaukus
For balance about this line though, it is not necessary that horizontal force components balance, so so there can be torque about C.
rational
  • rational
why must \(\tau_{net,O}=0 \) imply \(\tau_{net,A}=0 \) ?
UnkleRhaukus
  • UnkleRhaukus
because the vertical components balance in this case
rational
  • rational
the vertical components of forces need not balance right ?
UnkleRhaukus
  • UnkleRhaukus
Then how can there be no torque about O?
rational
  • rational
If the sum of vertical components of forces is 0, then there won't be any "acceleration" in vertical direction. I feel sum of vertical components of forces need not be 0 for torque to be 0... let me think a bit more :)
rational
  • rational
|dw:1446557495423:dw|
rational
  • rational
in above situation it seems it doesn't matter, any nonzero force on either ends produces a torque : |dw:1446557700464:dw|

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