## Pradeep Kshetrapal is teaching live on Unacademy Plus

PHYSICS Class XI Pradeep Kshetrapal

Chapter 4. Motion in a plain VECTORS Lesson: XI-4-2 vector addition

Addition: Triangle method Second vector is moved such that its tail coincide with head of the first vector. Then a vector from tail of first to head of second gives resultant vector , or addition of two. Adding 2 Vectors

Addition : Triangle method-another example Second vector is moved such that its tail coincide with head of the first vector. Then a vector from tail of first to head of second gives resultant vector, or addition of two. Adding 2 Vectors

Addition: another example Adding 2 Vectors Cr

Addition effects in x and y direction To Add 2 Vectors Numerically 15(5,14) 15 10 10 5 7,4)

Addition effects in x and y direction To Add 2 Vectors Numerically 15 5,14) 15 10 10 10 5 10

Addition effects in x and y direction To Add 2 Vectors Numerically Add the Cartesian Components (12,18) 15 (5,14) 15 10 10 74) 510 X 5 10 12 Copyright 2003 David M Harrison

Addition by parallelogram Two vectors A and B of magnitude a and b, inclined at angle are acting at a point O. If these vectors are represented by two sides of a parallelogram then resultant i.e. addition is represented by the diagonal passing through O. R ABO The magnitude of this resultant is equal to r, the length of OQ which is equal to rON+ ON2 a sine M a cose N If a is the angle made by resultant then it is given by relation -OM MN +20M.MN +QN MMN2 2OM.MN +QN tan b acose Pradeep Kshetrapal

Minimum condition for addition The two quantities should have the SAME NATURE i.e.Velocity can be added to velocity and not with force.

Special cases of addition 3.When two vectors are at right angle to each other angle between them is 90 Cos 90 is 0 (a) Velocity Airplane4 (b) velocity of air3 -r resultant 5

Components of a vector, Vector B is | effective in both axis the directions. Its effect in x direction is given X-akis by Bx. And |effect in Y direction is given by By Pradeep 6a comp.avi

Order no matter Five vectors are added in different order. Result by each method is same. Addition of five vectors: Pradeep Kshetrapal

Order no matter Five vectors are added in different order. Result by each method is same. Addition of five vectors: adog obetrgeiA+B+C D+E+A C+B+A

Order no matter Five vectors are added in different order. Result by each method is same. Addition of five vectors: adop obetrgeiA+ B+C+D D+E+A+ B CB A+D

Wind effecting airplane, add vectors Tailwind Headwind Crosswind velocity Twelocity |Resultan VelocityVelocity AiroplanWind Pradeep Kshetrapal

Wind effecting airplane add vectors Tailwind Headwind Crosswind velocity Twelocity |Resultan VelocityVelocity AiroplanWind Pradeep Kshetrapal

Wind effecting airplane add vectors Tailwind Headwind Crosswind Velocity AiroplanWind VelocityVelocity Resultan Pradeep Kshetrapal

Wind effecting airplane add vectors Tailwind Headwind Crosswind Velocity Twelocity |Watan VelocityVelocity Resultan AiroplanWind Pradeep Kshetrapal

Adding vectors, river and boat Motion of Riverboat With Current Motion of Riverboat Without Current Pradeep Kshetrapal

Adding vectors, river and boat Motion of Riverboat With Current Motion of River boat Without Current Pradeep Kshetrapal

Add Horizontal and vertical velocity of the bomb Pradeep Kshetrapal

Add Horizontal and vertical velocity of the bomb Pradeep Kshetrapal

Add Horizontal and vertical velocity of the bomb Pradeep Kshetrapal

Add Horizontal and vertical velocity of the bomb Pradeep Kshetrapal

Add Horizontal and vertical velocity of the bomb Pradeep Kshetrapal

Projectile under gravity Pradeep Kshetrapal

Projectile under gravity Gravity- path Pradeep Kshetrapal

Projectile under gravity Parabolic Motion Pradeep Kshetrapal

Horizontal projectile t-5.0s Ty 100m/s vyF 50 mis Pradeep Kshetrapal

Horizontal projectile t= 12.0s Tx=100 m/s vy-120 m/s Pradeep Kshetrapal

Non Horizontal projectile Ty m/s Vy=--m/s m/s Pradeep Kshetrapal

Non Horizontal projectile t- 4.0s %= 60 m/s vy= 20 m/s Pradeep Kshetrapal

Non Horizontal projectile t- 17.0s 60 m/s y -110 m/s Pradeep Kshetrapal

Ball observed from moving truck and ground Pradeep Kshetrapal

Ball observed from moving truck and ground Pradeep Kshetrapal

Maximum range 30 45 60 Pradeep Kshetrapal

Maximum range 30 45 60 Pradeep Kshetrapal

Maximum range 30 45 60 Pradeep Kshetrapal

Monkey and Zookeeper If there is no gravity, and Banana is thrown aiming monkey ) Pradeep Kshetrapal

Thrown above monkey,Gravity present Pradeep Kshetrapal

Thrown above monkey, Gravity present Pradeep Kshetrapal

Aiming monkey, throw fast Pradeep Kshetrapal

Aiming monkey throw slow Pradeep Kshetrapal

Aiming monkey throw slow Pradeep Kshetrapal

Aiming monkey throw slow Pradeep Kshetrapal

Aiming monkey throw slow Pradeep Kshetrapal