Vertical Circular Motion

Vertical Circular Motion

In our day to day we come across day to day activity which involve Vertical circular motion. the giant wheel, roller coaster is an example of vertical circular motion. In this topic we are going to see vertical circular motion in details.

Vertical circular motion

Vertical Circular Motion is a non uniform circular motion due to the influence of the earth's gravitational field. Magnitude of velocity and tension changes at every point. Let us study Vertical circular motion using illustrative example.

Consider an inextensible string of radius 'r' having a object of mass 'm' tied at one of it's end as shown in figure A. The string is whirled in vertical circular motion.

V_H =  Velocity at highest point

V_M = Velocity at midpoint.

V_L = Velocity at lowest point

T = Tension

mg = weight of the object

Mathematically.

At highest point A.

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Case I : 

This is the minimum required velocity at highest point so that object can perform vertical circular motion.

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Case II :                                           Velocity at  Lowest point (V_L )

From the laws of conservation of energy 

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Case III :                                           Velocity at  Lowest point (V_L )

From the laws of conservation of energy 

│<<<Conical Pendulum││Rotational Motion>>>│

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