Tension Physics Help: Solve for T with mg/ma Equations

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SUMMARY

The discussion focuses on calculating the tension in a cable supporting a plank in static equilibrium. Given a plank of length L=1.800 m and mass M=7.00 kg, with the cable attached at a height H=1.50 m and the center of mass located d=0.700 m from the pivot, the tension can be determined using the equations T=mg and T=ma. Understanding static equilibrium and the principle of moments is essential for solving this problem effectively.

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  • Knowledge of the principle of moments
  • Basic algebra for solving equations
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Homework Statement



3. A plank of length L=1.800 m and mass M=7.00 kg is suspended horizontally by a thin cable at one end and to a pivot on a wall at the other end.The cable is attached at a height H=1.50 m above the pivot and the plank's CM is located a distance d=0.700 m from the pivot. Calculate the tension in the cable.

Homework Equations



T=mg
T=ma
T-ma=mg

The Attempt at a Solution



how do you solve for tension with the values given? they don't fit into any equations I have..
 
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You need the equations for static equilibrium.
 
what are those?
 
I do not think that you were given the problem without being taught about static equilibrium first. You may want to review your course materials and whatever textbooks assigned. This might be helpful somewhat: http://en.wikipedia.org/wiki/Mechanical_equilibrium
 
Did you learn the principle of moments on your course?
 

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