motion in a vertical circle mathematical derivation
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If the velocity 'v' of the body is such that, v ≤ √2gr, then the body oscillates about point L, the lowest point of the vertical circle. If the velocity 'v' of the body is such that √2gr < v < √5gr , then the body leaves the circular path and acts like a projectile. It will leave circular motion between M and H.
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https://www.google.com/imgres?imgurl=https://thefactfactor.com/wp-content/uploads/2020/01/Motion-in-vertical-circle-01.png&imgrefurl=https://thefactfactor.com/facts/pure_science/physics/motion-in-vertical-circle/6500/&h=258&w=300&tbnid=2Kos3jic1MEZKM&tbnh=208&tbnw=242&usg=AI4_-kROiU4vyh3e63k7LU4SJ3lheh5rxA&vet=1&docid=lglu6B-eylMsLM
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