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Classical Physics by Prof.V.Balakrishnan

Lecture Series on Classical Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras.

Classical Physics by Prof.V.Balakrishnan

Lecture Series on Classical Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras.

Kinematics Formulas

Two-Dimensional Kinematics

Displacement

The change in position vector of the particle for a given time interval is known as its displacement. AB = r = r2 - r1 Displacement is a vector quantity and its SI unit is meter. It can decrease with time. For a moving particle in a given interval of time  Distance can be a many-valued function but displacement would be always a single-valued function.  Displacement can be +ve, -ve or 0 but distance would be always +ve.  Distance ≥ Magnitude of displacement.  Distance is always equal to displacement only and only if particle is moving along a straight line without any change in direction Average speed and average velocity :-   Average speed and average velocity are always defined for a time interval.       Average speed (v) = Total distance travelled / time interval                                     =Δs/Δt     Average velocity = Displacement / time                                 = Δr/Δt                                  = r2-r1 / t2-t2 Average speed is a sc

Rest and Motion

An object is said to be in motion with respect to a frame of reference s1, when its location is changing with time in same frame of reference s1. Rest and motion are relative terms. Absolute rest and absolute motion have no meaning. Motion is broadly classified into 3 categories : 1. Rectilinear and translatory motion. 2. Circular and rotatory motion. 3. Oscillatory and vibratory motion.      Rectilinear or 1-D Motion When a particle is moving along a straight line, then its motion is a rectilinear motion. Parameters of rectilinear motion or translatory motion or plane motion: Time    It is a scalar quantity and its SI unit is second(s). At a particular instant of time, a physical object can be present at one location only. Time can never decrease.   Position or location It is defined with respect to some reference point (origin) of given frame of reference.    Consider a particle which moves from location r1 (at time t1) to location r2 (at time t2) as shown in the fi