SureDen
Position.
Position of an object or point is expressed in terms of co-ordinates.Position of any point is completely expressed by two factors: Its distance from the observer and its direction with respect to observer.
That is why position is characte
The motion of an object is called two dimensional, if two of the three co-ordinates are required to specify the position of the object in space changes w.r.t time and
Triangle Law of Vector Addition of Two Vectors.
If two non zero vectors are represented by the two sides of a triangle taken in same order then the
Graphs
x-t graphs(Slope of x-t graph gives velocity)
a) for Rest
Position of Object Remains Same
x= constant
v=0
a=0
Motion With Uniform Velocity
Consider a particle moving along x-axis with uniform velocity u starting from the point x =xi at t = 0.
Equations of x, v, a are : x (t) = xi + ut ; v (t) = u ; a (t) = 0
x- t
If a particle is accelerated with constant acceleration in an interval of time, then the motion is termed as uniformly accelerated motion in that interval of time.For uniformly accelerated motion along a straight line, following equations can be used
(a) Ist equation of Motion
Moment of Inertia of Some Standard Bodies About Different Axes
Theorem of Parallel Axes
Moment of inertia of a body about a given axis I is equal to the sum of moment of inertia of the body about an ax
Horizontal range : It is the horizontal distance travelled by a body during the time of flight.
Rigid Body: A rigid body is a system of particles in which interparticle distances do not change and the
body cannot be deformed no matter how large a f
Rolling on an Inclined Plane
When a body of mass m and radius R rolls down on inclined plane of height ‘h’ a
Slipping, Spinning and Rolling
Formulas and Important Points
1. v = u+ at ... s=ut+(1/2)t2 ..... v2-u2 = 2as .....
Oscillatory or vibratory motion is that motion in which a body moves to and fro or back and forth repeatedly about a fixed point in a definite interval of time. In such a moti
A motion, which repeat itself over and over again after a regular interval of time is called a periodic motion and the fixed interval of time after which the motion is repeate
SWIMMER PROBLEMS
Consider a river of width D.
Let Vr= velocity of system
A wave is a disturbance which propagates energy and momentum from one place to the other without the transport of matter.
(1) Necessary properties of the me
Friction force is of two types.
a) Static&nbs
(Stress)B(Stress)A=(rArB
If water drops are allowed to fall from a certain height at regular intervals, then the distance between two successive drops are always in the ratio 1: 3 : 5 : 7 : 9 &h
Position
The position of a particle refers to its location in the space at a certain moment of time.
It is concerned with the question - “ where is the particle at a particular instant of time ? ”
Inertia.
It is the inherent property of all the bodies by virtue of which they cannot change their state of rest or uniform motion along a st
Oblique Projectile.
In projectile motion, horizontal component of velocity (u cos?), acceleration (g) and mechanical energy remains constant while, speed, velocity, vertical component of velocity (u sin ?), momentum, kinetic energy and potent
The force of attraction of earth on bodies, is called force of gravity. Acceleration produced in the body by the force of gravity, is called acceleration due to gravity. It is represented by the symbol g.
In the absence of air resistance, it is found that all bodies (irresp
Force
A pull or push which changes or tends to change the state of rest or of uniform motion or directionof motion of any object is called force. F
Rolling Without Slipping
In case of combined translatory and rotatory motion if the object rolls across a surface in such a way that there is no relative motion of
11.12 Applications of Bernoullis Theorem.
(i) Attraction between two closely parallel moving boats (or buses) : When two boa
Motion of Connected Mass
A point mass is tied to one end of a string which is wound round the solid body [cylinder, pulley, disc]. When the mass is
(1) Time period : It is the least interval of time after which the periodic motion of a body repeats itself.
S.I. units of time period is second.
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