Vectors1 ppt6
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This document discusses vectors in physics. It defines scalars as quantities determined by a single number, like mass or time, while vectors are quantities determined by both magnitude and direction, such as force or velocity. It provides examples of 1D, 2D and 3D motion to illustrate vectors, noting that 1D motion only requires one value to specify position, 2D requires two values, and 3D requires three. The document uses examples like the motion of a falling ball and a fly moving in a cube to demonstrate how vectors uniquely specify an object's position in space using reference points and perpendicular axes. It concludes that understanding vectors is important for further topics like distance, displacement, speed and velocity.
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etc......
NCERT class 9th science chapter 8
Motion refers to the change in position of an object over time. Mechanics is the branch of physics that deals with motion. There are different types of motion such as linear, circular, and oscillatory. Key concepts in the study of motion include scalars, vectors, distance, displacement, speed, velocity, and acceleration. Equations of motion relate these quantities, such as the relationship between velocity and acceleration given by the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Graphs can also represent motion, such as velocity-time graphs that show changes in velocity and can indicate if motion is uniform or accelerated. Circular motion involves
dSolution The concept of Derivative is at th.pdf
Dry Ice., is a manufacturer of air conditioners that has seen its demand grow significantly. The
companyanticipates nationwide demand for the next year to be 180,000 units in the South,
120,000 units inin the Midwest, 110,000 units in the East, and 100,000 units in the West.
Managers at DryIce are designingthe manufacturing network and have selected four potential
sites-- New York, Atlanta, Chicago, and San DiegoPlants could have a capacity of either 200,000
or 400,000 units. The annual fixed costs are at the four locations areshown in the Table, along
with the cost of producing and shipping an air conditioner to each of the four markets.Where
should DryIce build its factories and how large should they be?Dry Ice., is a manufacturer of air
conditioners that has seen its demand grow significantly. The companyanticipates nationwide
demand for the next year to be 180,000 units in the South, 120,000 units inin the Midwest,
110,000 units in the East, and 100,000 units in the West. Managers at DryIce are designingthe
manufacturing network and have selected four potential sites-- New York, Atlanta, Chicago,
and San DiegoPlants could have a capacity of either 200,000 or 400,000 units. The annual fixed
costs are at the four locations areshown in the Table, along with the cost of producing and
shipping an air conditioner to each of the four markets.Where should DryIce build its factories
and how large should they be?
Solution
If the fixed cost is not taken into consideration then,
Dry Ice has the maximum demand in the south region as: 180,000 units
The company should thus build a plant size of 400,000 units (maximum possible) in order to
satisfy the demand of the regions and earn economies of scale.
The site of the company should be chosen from the factors like: proximity to the markets,
perishable or nonperishable goods, nearness to the warehouse, suppliers convenient etc..
Chapter1
This document provides an overview of 1D kinematics concepts including position, displacement, velocity, acceleration, and the relationships between these quantities as expressed in graphs and equations. Key points covered include:
- Definitions of scalars like displacement and vectors like velocity and acceleration.
- How to calculate average and instantaneous velocity and acceleration from position-time graphs.
- Kinematic equations that relate the initial and final position, velocity, and acceleration of an object undergoing constant acceleration.
- Galilei's contributions to establishing the mathematical descriptions of motion studied in kinematics.
IMPLICIT DIFFERENTIATION AND RELATED RATES
Recall the two separate and apparently distinct situations that, not surprisingly, are resolved with the same mathematical model.
We ask instead
What does a negative velocity mean?
When is the particle at rest (velocity = 0) ?
When is the particle receding from the origin?
Let me tell you that
Each science (Physics, Chemistry, Biology, Psychology, Sociology, Computer Science, Medicine,… you name it)
Each sub-branch of each science
Each group or researchers in each sub-branch of each science
Each individual researcher in each group …
Unit 1 Notes
This document provides an overview of kinematics and mechanics concepts including:
- Kinematics deals with describing motion without considering forces. Key concepts include displacement, velocity, acceleration, and equations for uniformly accelerated motion.
- Dynamics considers how forces affect motion. Key concepts include forces, mass, acceleration, momentum, and equilibrium. Equilibrium occurs when net forces are balanced and there is no acceleration.
- Projectile motion refers to objects moving under the influence of gravity only. The horizontal and vertical components of motion can be analyzed separately using kinematics equations.
Ppt on motion by hasan mizaj ix i
1) The document discusses various concepts related to motion including linear motion, uniform motion, non-uniform motion, scalar and vector quantities, distance, displacement, speed, velocity, acceleration, and circular motion.
2) It provides definitions and examples for different types of motion such as translatory, rotational, and periodic motion.
3) The three equations of motion relating displacement, velocity, acceleration, and time are described.
Articles en mathematics_4
1. The document describes how to use mental imagery to teach mathematical concepts like fractions, ratios, and algebraic expressions. It presents a series of figures and asks the reader to imagine moving points on lines and consider their relationships.
2. It then uses these figures to introduce topics like distributivity, literal calculations, products of sums and differences, and ratios. Students are guided to express relationships first using specific values then more generally using letters.
3. The goal is to build familiarity with mathematical operations and concepts through dynamic visualizations, then transfer this understanding to algebraic expressions and problem solving. Students learn to perceive relationships that hold true regardless of specific values.
Learning object 1 travelling waves
The document describes the movement of travelling waves through a medium. It defines key concepts such as pulses, displacement, and speed. It provides an analogy of a wave moving through a crowd at a sports game. The key equation given relates the displacement of a point on the medium to the distance and time: D(x,t) = D(x-vt). It then works through an example problem applying this equation to find the displacement of a marked point on a rope at a given time, as well as determining when the maximum displacement occurs for a different point. Finally, it discusses how the speed of a wave depends on the tension and linear mass density of the medium.
Motion(phy) by nikund jain
Here you"ll come to know about basic terms used in physics , types of motion with some examples to help you understand better.
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Syllabus
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Chapter 2
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Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
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2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
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Vectors1 ppt6
- 3. Till now covered Units and dimensions
- 4. Till now covered Units and dimensions Dimensional analysis
- 5. Till now covered Units and dimensions Dimensional analysis Significant figures
- 6. Till now covered Units and dimensions Dimensional analysis Significant figures Least count
- 7. Till now covered Units and dimensions Dimensional analysis Significant figures Least count Error analysis
- 9. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc.
- 10. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc. Basic knowledge of trigonometry.
- 11. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc. Basic knowledge of trigonometry. Vectors
- 12. Important concepts Knowledge of same basic graphs , like equation of line y = m.x + c , quadratic equations etc. Basic knowledge of trigonometry. Vectors Calculus basics
- 13. Cover two topics We cover two topics for now First : VECTORS
- 14. Cover two topics We cover two topics for now First : VECTORS Then Later: CALCULUS
- 15. Vectors (type of physical quantity)
- 16. DEFINITION SCALARS Quantities in physics which are determined uniquely by one number are called scalars. Example: Mass , temperature , distance , speed , time , work , energy.
- 17. DEFINITION VECTORS Quantities in physics which are determined completely by two things 1st -> Magnitude 2nd ->Direction are called vectors. Example: weight , force ,acceleration ,velocity, displacement .
- 18. Don’t Get Confused Physics and English Dictionary are Different. Mass , Weight ho ya speed ,velocity Both means same in English dictionary. BUT In PHYSICS both have completely DIFFERENT Meanings.
- 19. To Understand Vectors To understand vectors we will consider examples of vectors for easy understanding. Pehla concept haiDistance/Displacement ka. Doosra concept haispeed/velocity.
- 20. Easiest thing to measure in a body : “ ITS POSITION WITH TIME “ Position is calculated with some reference point always . Reference point is called ORIGIN.
- 21. 3 Types of motion 1-dimensional motion. 2-dimensional motion. 3-dimensional motion.
- 22. 1-D Motion 1-Dimensional motion means: body only moves along a line. only one number good enough to represent a position uniquely. one single axes used to represent it. Simplest Example: “ Motion Of a Freely Falling Ball “
- 23. Motion of ball
- 24. Three positions during fall
- 25. Reference point dependence If top is reference point then initial value of position is 0 final value of position is -H
- 26. Reference point dependence If middle is reference point then initial value of position is H/2 final value of position is -H/2
- 27. Reference point dependence If ground is reference point then initial value of position is H final value of position is 0
- 28. THREE CASES
- 29. 2-D Motion 2 –dimensional motion means: Body moves on a plane. There are 2 numbers needed to specify a unique position. 2 perpendicular axes used to represent it. 2²=4 quadrants made by axes
- 30. Representation of positions on 2D
- 31. 3-D Motion 3 dimensional motion means : Body moves in space. There are 3 numbers needed to specify a unique position. 3-perpendicular axes used to represent it. 2³ = 8 octants made by axes.
- 32. 3 axes, 3 numbers used to represent
- 33. Example of a CUBE
- 34. SAY A FLY MOVES IN CUBE THEN Fly’s position will always be (at any time) determined uniquely by 3 numbers ( x,y,z). WHERE 0<x<1 , 0<y<1, 0<z<1 So here motion of fly is 3 dimensional
- 35. SO THESE WERE 3 TYPES OF POSSIBLE MOTION: NEXT: We further understand vectors. Taking distance /displacement ,speed /velocity as examples in next video