## Motion in Vertical Circle | Physics – Motion in a Plane

We are giving a detailed and clear sheet on all Physics Notes that are very useful to understand the Basic Physics Concepts.

**Motion of a Particle in a Vertical Circle**

(i) Minimum value of velocity at the highest point (i.e. at point C) is \(\sqrt{g r}\)

(ii) The minimum velocity at the bottom required to complete the circle, i.e. at point A

(iii) Velocity of the body when string is in horizontal position, i.e. at point B.

v_{B} = \(\sqrt{3 g r}\)

(iv) **Tension in the string**

At the top, T_{c} = 0, At the bottom, T_{A}= 6 mg

When string is horizontal, T_{B}= 3 mg

(i) When a vehicle is moving over a convex bridge, then at the maximum height, reaction (N_{1}) is

N_{1} = \(m g-\frac{m v^{2}}{r}\)

(ii) When a vehicle is moving over a concave bridge, then at the lowest point, reaction (N_{2})

N_{2} = \(m g+\frac{m v^{2}}{r}\)

(iii) When a car takes a turn, sometimes it overturns. During the overturning, it is the inner wheel which leaves the ground first.

**Motion in a Plane (Projectile and Circular Motion):
**In this chapter or under this topic, we are going to come across the motion of the object when it is thrown from one end to another end. This practice is said to be projection. Also, when an object is moved in a circular motion, then the equation of the motion is derived here. We will learn here about centripetal force and centripetal acceleration in detail with formulas. Also learn the force applied in everyday life motion of the particle in a vertical circle.

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Motion in a Plane | Projectile Motion |

Circular Motion | Centripetal Acceleration |

Centripetal and Centrifugal Force | Examples of Centripetal Force in Everyday Life |

Motion in Vertical Circle |