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

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To calculate the tension in the cable supporting a plank, the principles of static equilibrium must be applied. The equations T=mg and T=ma are relevant, but additional equations for moments and forces are necessary for this scenario. The plank's mass and the distances from the pivot point are crucial for determining the tension. Reviewing course materials on static equilibrium and the principle of moments will provide the necessary foundation for solving the problem. Understanding these concepts is essential to find the correct tension value.
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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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I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

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Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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