Tutorial on circular motion: ) Based on my understanding of it:) no plagiarism it is purely mine :) Comments will be heartily appreciated:)
\[\huge{\color{red}{Circular Motion}}\]is a type of motion in which a body move in a trajectory which is set such that throughout the motion ur distance from a fixed point remains same.
It can be divided into 2 types: -
1.) Uniform circular motion (U.C.M.) 2.) Non-uniform circular motion (N.U.C.M.)
First take a loot at first type:)
1.) Uniform circular motion (U.C.M.) :----- In this we have a circular motion with uniform speed. remember it is not velocity. becoz in all types of circular motion we are changing our direction always. so we have an acceleration always so we can't say that we have uniform velocity in any type of circular motion. remember it it is a very crucial point!
now the question is what type of acceleration we have in UCM ? The answer is Centripetal acceleration. It always acts towards the center. It is represented by mainly \[\LARGE{a_c}\]|dw:1343929977680:dw|
so if a body with mass 'm' is moving in a circle then the net force in uniform circular motion remember in only UCM is \[\LARGE{ma_c}\]
Now remember a formula which is used to calculate centripetal acceleration \[\LARGE{a_c=\frac{V^2}{r}}.\] 'v' is the velocity of body 'r' is radius of the circle I m nt giving a proof to it becoz it is too complicated but if u want u can search it on google.
Now comes the second type: - 2.) Non-uniform circular motion (N.U.C.M.):----- In this type body doesn't have uniform speed It means that it has an acceleration other than \[a_c\]too. which is called remember it "Tangential acceleration." It is given to tangential velocity it is the velocity which make a body move in circular motion.|dw:1343930592719:dw|
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