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S(2) is a fixed rough sphere and S(1) is...

`S_(2)` is a fixed rough sphere and `S_(1)` is a uniform solid sphere `S_(1)` is given a negligible velocity, So that at starts moving on the sphere `S_(2)`, It rolls without slipping. Find the angle formed with the vertical, by the line joining the centres of `S_(1)` and `S_(2)` when `S_(1)` leaves `S_(2)`

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