# Chapter-4(Motion in a Plane)

## Centripetal Acceleration

The Acceleration associated with uniform circular motion is called a centripetal acceleration. Let a particle of mass (m), moving with a constant speed (v), angular velocity (ω), on a circular path of radius r with centre O. Let at any time t, the particle be at P, and at time t+∆t the particle be at […]

## Relation Between Time Period and Frequency

If f be the frequency of an object in circular motion, then the object will complete one revolution in 1/f second, which is known as time period. Time Period T = 1/f Relation Between Angular Velocity, Frequency and Time Period Let a point object is moving in a uniform circular motion with frequency (f) and

## Uniform Circular Motion

When an object follows a circular path at a constant speed, the motion of the object is called uniform circular motion. Although the speed does not very, the particle is accelerating because the velocity changes its direction at every point on the circular track. Example:- Motion of the tip of the second hand of the

## Projectile Motion

Projectile motion is a form of motion in which an object or particle is thrown with some initial velocity near the earth’s surface and it moves along a curved path under the action of gravity alone. The path followed by projectile is called its trajectory. An object that is in flight after being thrown is

## Relative Velocity In Two Dimensions

Relative Velocity The relative velocity of an object A with respect to object B, when both are in motion, is the rate of change of position of object A with respect to B. Relative Velocity Of Rain NCERT Class 11 Physics Book PDF Free Download Also Read SL Arora Class 11 Physics Book PDF Free

## Acceleration

Acceleration is defined as the ratio of change in velocity and the corresponding time interval. Average Acceleration It is defined as the change in velocity (∆v) divided by the corresponding time interval (∆t). Instantaneous Acceleration It is defined as the limiting value of the average acceleration as the time interval approaches to zero. Motion In

## Position, Displacement and Velocity Vectors

Position Vector A vector that extends from a reference point to the point at which particle is located is called position vector. Let r be the position vector of a particle P located in a plane with reference to the origin O in x-y plane. Displacement Vector Displacement vector is that vector which tells how

## Scalar And Vector Product Of Two Vectors

Dot Product Or Scalar Product It is defined as the product of the magnitudes of vector A and B and the cosine of the angle θ between them. It is represented by Dot Product Of Two Vectors Let a = a₁ i^ + a₂ j^ + a₃ k^ and b = b₁ i^ + b₂

## Addition and Subtraction Of Vectors (Analytical Method)

Addition Of Vectors (Analytical Method) Let we consider two vectors A and B inclined at an angle θ. Let they may be represented in magnitude and direction by two sides OP and PQ of ∆OPQ, taken in same order. Then, according to Triangle Law of vector addition, the resultant R is given by the closing

## Resolution Of Vectors In Plane and Space

Resolution Of Vectors In Plane (In Two Dimensions) The process of splitting a single vector into two or more vectors in different directions which collectively produced the same effect as produced by the single vector alone is known as resolution of vector. The various vectors into which a single vector is splitted are known as

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