Two blocks are connected by a string as shown in the diagram. The upper block is hung by another...

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Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force \( F \) applied on the upper string produces an acceleration of \( 2 \mathrm{~m} / \mathrm{s}^{2} \) in the upward direction in both the blocks. If \( T \) and \( T^{\prime} \) be the tensions in the two parts of the string, then \( \left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right) \quad \) [AMU (Engg.) 2000; Kerala PET 2010]
(a) \( T=70.8 \mathrm{~N} \) and \( T^{\prime}=47.2 \mathrm{~N} \)
(b) \( T=58.8 \mathrm{~N} \) and \( T^{\prime}=47.2 \mathrm{~N} \)
(c) \( T=70.8 \mathrm{~N} \) and \( T^{\prime}=58.8 \mathrm{~N} \)
(d) \( T=70.8 \mathrm{~N} \) and \( T^{\prime}=0 \)
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