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Answer» Various conditions for vertical motion : | Velocity at lowest point | Condition | | uA > √5gl | Tension in the string will not be zero at any of the point and body will continue the circular motion. | | uA = √5gl | Tension at highest point C will be zero and body will just complete the circle. | | √2gl < uA < √5gl | Particle 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 = √2gl | Both velocity and tension in the string becomes zero between A and B and particle will oscillate along semi-circular path. | | uA < √2gl | Velocity 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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