Find the tension T of the two blocks. I think I'm doing something wrong

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SUMMARY

The tension T in the system of two blocks can be calculated using the equations T1 = (m1 + m2)g and T2 = m2g. For m1 = 2 kg and m2 = 3 kg, the calculations yield T1 = 49.05 N and T2 = 29.43 N. The correct interpretation confirms that T2 supports the weight of the 3 kg block, while T1 supports the combined weight of both blocks. The final values are consistent with the forces acting on m1, validating the calculations.

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Find the tension T of the two blocks. I think I'm doing something wrong :(

ScreenShot2012-12-11at94641AM.png


T1 = m1g = (2)(9.81) = 19.62
T2final = T2 + T1 = m2g + m2g = (3)(9.81) + (2)(9.81) = 29.43 + 19.62 = 49.05

I did something wrong. :(
Help?
 
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Oh wait!
T1 = (m1 + m2)g
T1 = (2 + 3)(9.81)
T1 = (5)(9.81)
T1 = (5)(9.81)
T1 = 49.05

T2 = m2g
T2 = (3)(9.81)
T2 = 29.43

Is that right? Is the answer (d)?
 


That looks right.
T2 has to support 3kg, and T1 has to support 5kg.

You can also check this by looking at the forces on m1 :
T1 = m1g + T2
Your answers agree with this.
 

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