A particle of mass `m` is released from the top of a smooth hemisphere of radius `R` with the horizontal speed `mu`. Calculate the angle with verticle where it loses contact with the hemisphere.

Explanation

To solve the problem of finding the angle with the vertical at which a particle loses contact with a smooth hemisphere, we can follow these steps:

### Step 1: Understand the Geometry
The particle is released from the top of a hemisphere of radius \( R \). When the particle is at an angle \( \theta \) with the vertical, its height \( h \) above the ground can be expressed as:
\[ h = R - R \cos \theta = R(1 - \cos \theta) \]

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