Calculating Tensions T1 and T2 for a Mass at Rest

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AI Thread Summary
The discussion focuses on calculating the tensions T1 and T2 for an 18 kg mass at rest, with T1 at a 50-degree angle from the ceiling and T2 vertically attached. The equations used include the balance of forces in the x-direction and y-direction, specifically T2 - T1cos(theta) = 0 and T1sin(theta) - mg = 0. An attempt to solve the equations resulted in T2 being calculated as 177.2 N, which was identified as incorrect. Participants suggest that a sketch could clarify the setup and equations. The conversation emphasizes the importance of correctly applying the equations to find the right tensions.
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Homework Statement



Find the tensions T1 and T2. The 18 kg mass is at rest. T1 is attached to a vertical wall horizontally and T2 is attached to a horizontal wall vertically with T1 at and angle of 50 degree from the ceiling.

Homework Equations



Sum of all forces x

T2-T1cos(theta)=0

T1sin(theta)-mg=0

The Attempt at a Solution



T2=m(g)+tan(theta) = 177.2 N for T2 and that is not the right answer. Any thing wrong with my equations?
 
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A sketch is always helpful.
 
got it thanks!
 

Thread 'Errors and significant figures'

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'

Thread 'A cylinder connected to a hanging mass'

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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