Give the Various conditions for vertical motion.

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answered Jun 17, 2019 by Sweety01 (70.8k points)
selected Jun 21, 2019 by Vikash Kumar

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Various conditions for vertical motion :

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