roadjester
  • roadjester
A bag of cement weighing 325 N hangs in equilibrium from three wires. Two of the wires make angles of theta1=60.0 degrees and theta2=40.0 degrees with the horizontal. Assuming the system is in equilibrium, find the tensions of T1, T2, and T3.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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roadjester
  • roadjester
|dw:1332698770284:dw|
anonymous
  • anonymous
If the system is in mechanical equilibrium, the system must be stationary. We can infer from this that all the forces in the x and y-directions must sum to zero. As with any diagram, let's define a coordinate system. |dw:1332699823530:dw| Now, \[\sum F_x = 0 \rightarrow -T_{1,x} + T_{2,x} = 0\]\[\sum F_y = 0 \rightarrow T_{1,y} + T_{2,y} + T_3 - W = 0\]
anonymous
  • anonymous
where\[T_{1,x} = T_1 \cos(\theta_1) ~~{\rm and}~~ T_{1,y} = T_1 \sin(\theta_1)\] \(T_{2,x}\) and \(T_{2,y}\) can be defined in the same way but with \(\theta_2\) as the angle.

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amistre64
  • amistre64
|dw:1332701661859:dw|

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