Consider the situation shown in figure (6-E2). Calculate (a) the acceleration of the 1.0 kg blocks, (b) the tension in the string connecting the 1.0 kg block, and (c) the tension in the string attached to 0.50 kg.



The free body diagrams are shown above for all three bodies. Consider the acceleration of masses A and B is in right direction and for the suspended mass the acceleration is in downward direction.


Using figure (c), we can write,





Using figure (b), we can write,






Using figure (a), we can write,






Using equation (I), (ii), and (iii) we can find the value of T, T1 and a


Putting the value of T and T1 from (i) and (iii) respectively, in equation (ii), we get


m/s2


(b) tension in the string connecting the block B and A




(c) tension in the string attached to suspended block





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