2017 blocks

2017 blocks each of mass m=20.17 kgm = \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=mgF = mg acts on the 2017th2017^\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 ii subtends an acute angle of θi \theta_i with the vertical.

What is θ1\theta_1 (in degrees) to 3 decimal places? Take acceleration due to gravity as g=9.80 m/s2.g=\SI[per-mode=symbol]{9.80}{\meter \per \second \squared}.

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