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Hello everyone, it is just a matter of two minutes and you will quickly understand the first derivation of rotational dynamics that whenever a vehicle takes a circular motion or a curve on a horizontal road, then what should be the maximum velocity on it so that it does not fall inwards, so we are going to understand it using a very simple technique, so this is our circular road and this is our vehicle on this circular road, if we consider this vehicle, then there will be a center somewhere here and it will also have some radius, right, so first of all we will talk about the forces that act on this vehicle, so vertically downward AG acts very good and perpendicular to the surface normal acts, when the vehicle takes a turn, while taking a turn, a force will be applied on it from outside and that force will stop it from inside, so it does not go out because the friction holds it between the tyre and the surface, yes it does not let it fall That means the frictional force here will act in the invert direction which will prevent the vehicle from falling Invert direction means something which is acting towards the centre of a circle That means the frictional force will provide the centripetal force Now let's talk about balancing these forces So first of all you can see that m is balancing the normal So here n is balancing mg1 very good than centripetal force is provided by the frictional force That means the centripetal force is applied towards the centre and it is providing the centripetal force And the formula of centripetal force is mv1 / r Now we will divide this into equation That means equation one divided by two So we will get n divided by f A The meaning of f A is new * n is to end and divided will come in mv2 / r Here m A getting cancel and n getting cancel this v s will shift here okay and this numeration denominator numeration this r above rg9 a which is there will come here and what we are getting c so the beauty of this derivation is that velocity is under route m s * r * g and this is the maximum velocity on that road horizontal curve road when the vehicle will turn from there next we will read in this how we can find the velocity on the bank road that too in just two minutes till then bye bye