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In the arrang...

Question

In the arrangement shown in the figure, what should be the mass of the block A, so that the system remains at rest? Neglect friction and mass of strings.

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Solution

Given,

2Blocks having $m a s s = 2 k g, A n g l e = 30^{0}$

So, $T_{2} = T_{1} + m g s i n 30^{0} = 20 \times \frac{1}{2} + 20 = t_{2} \Rightarrow T_{2} = 30 N$

So the mass of the block is $M = \frac{30}{10} = 3 k g$

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