A particle of mass m starts at rest on top of a smooth fixed hemisphere of radius a. Using the Lagrangian equation with constraints, find the force of constraint, and determine the angle at which the particle leaves the hemisphere. A particle of mass m moves on the surface of a smooth fixed hemisphere.
A particle of mass m starts at rest on top of a smooth fixed hemisphere of radius a. Using the Lagrangian equation with constraints, find the force of constraint, and determine the angle at which the particle leaves the hemisphere. A particle of mass m moves on the surface of a smooth fixed hemisphere.
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