Circular motion notes, Cheat Sheet of Physics

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Q.1] Define: 2)” Circular motion: Motion of an object along the circumference of a cirel Blades of the fan perform circular motion. b) Uniform circular motion (U. C. M.): Motion of an object along the circum speed is called uniform circular motion. E.g.: The hands of a clock perform Me: ©) Non-uniform circular motion: The motion of a particle along the circumference of a speed is called non-uniform circular motion. : sort Radius vector: To determine the position of a particle at any instant p from centre of a circle to the position. This vector is called the radius ve ©) Period of revolution (T): Time taken by a particle performing U. C. M. to of revolution. In circular motion distance covered in one revolution is equal s 2 > > Speed = Distance , Time VP = ZnS) (c- radius of circle) ak T= 250 v 7 } a = Qe (@ - angular velocity) @ une f) Frequency (n): The number of revolution performed per unit revolution. n=1 uy “1 =O. 2 g) Angular displacement (6): The angle traced by a radius vector in angular displacement. O; Centre of circle OA * OB’ - are the @ - Angular disp! S - Arc length r - Radius of circle Length ofanarc = 6° x2ar 360 s = O°n xr 180 s = 6°xr (0°=6°7x/180) The S. I. unit of angular displacement is radian (rad). It has no din Angular displacement (60): A small angle through which a angular displacement. Angular displacement (88) = aes =6s a r 7.6s=1 60 In vector notation s = 60 x r NOTE: (i) When time interval (5t) is large r obey the commutative and associati (ii) When time interval (6t) — 0 then commutative and associative