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capricornpeer
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Homework Statement
Find :
a) acceleration of 1 kg, 2kg and 3 kg blocks and
b) tensions T1 and T2
Note: In the figure, 1, 2 and 3 represent the masses of respective blocks in Kg. T1 and T2 represent tension in strings
Homework Equations
Newton's laws and constraint equations
The Attempt at a Solution
Considering the uppermost pulley as a reference point, I have taken distance to :
i) mass 1 as x1,
ii) mass 2 as x2,
iii) mass 3 as x3.
From constraint considerations, T1=T2= T(say)
keeping string lengths as constant gives a1+a2+a3=0 (after a bit of solving).
Final Equations :
1) constraint equation : a1+a2+a3=0
2) for block 1 : T = -a1
3) for block 2 : 2*g - T = 2*a2
4) for block 3 : 3*g - T = 3*a3
However, the problem is that ans given in the book (DC Pandey, Mechanics Vol.1) doesn't
match with my answer.
Answer given in the book : a1 = 560/51, a2 = 590/51, a3 = 530/51 , T = 560/51 (all in SI units)
Please discuss what answers you get and how.