# 2017 blocks

2017 blocks each of mass $$m = \SI{20.17}{\kilogram}$$ are connected by massless strings and the whole system is fixed to a rigid ceiling, as shown above.

A constant force $$F = mg$$ acts on the $$2017^\text{th}$$ block and displaces it. As a result, the entire system is disturbed and subsequently settles into a stationary equilibrium. In the equilibrium position, the string above block $$i$$ subtends an acute angle of $$\theta_i$$ with the vertical.

What is $$\theta_1$$ (in degrees) to 3 decimal places? Take acceleration due to gravity as $$g=\SI[per-mode=symbol]{9.80}{\meter \per \second \squared}.$$

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