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Give the Various conditions for vertical motion.

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Various conditions for vertical motion :

Velocity at lowest point Condition
uA > √5glTension in the string will not be zero at any of the point and body will continue the circular motion.
uA = √5glTension at highest point C will be zero and body will just complete the circle.
√2gl < uA < √5glParticle will not follow circular motion. Tension in string become zero somewhere between points B and C whereas velocity remain positive. Particle leaves circular path and follow parabolic trajectory.
uA = √2glBoth velocity and tension in the string becomes zero between A and B and particle will oscillate along semi-circular path.
uA < √2glVelocity of particle becomes zero between A and B but tension will not be zero and the particle will oscillate about the point A.

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