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Physics-01 (Keph_10405) 1. Details of module and its structure Module Detail Subject Name Physics Course Name Physics 01 (Physics - Part 1, Class XI) Module Name/Title Unit 2, Module 10, Mathematical tools for solving problems Chapter 4, Motion in a plane Module Id Keph_10405_eContent Pre-requisites Basic Arithmetic’s, graphs dependent and independent variables, basic and derived units Objectives After going through this module, the learners will be able to: ï‚· Understand the concept need for new mathematical operations ï‚· Understand the need for basic differentiation and basic integration ï‚· Apply differentiation and integration to solve simple problems in kinematics ï‚· Use logarithm tables for calculation in physics Keywords Differential calculus, integral calculus, logarithms. 2. Development Team Role Name Affiliation National MOOC Prof. Amarendra P. Behera Central Institute of Educational Coordinator (NMC) Technology, NCERT, New Delhi Programme Dr. Mohd. Mamur Ali Central Institute of Educational Coordinator Technology, NCERT, New Delhi Course Coordinator Anuradha Mathur Central Institute of Educational / PI Technology, NCERT, New Delhi Subject Matter Chitra Goel PGT Physics Expert (SME) Retd. Vice-Principal, Rajkiya Pratibha Vikas Vidhyalaya Delhi Review Team Prof. V. B. Bhatia (Retd.) Delhi University Associate Prof. N.K. Sehgal Delhi University (Retd.) Prof. B. K. Sharma (Retd.) DESM, NCERT, New Delhi 1 Physics 2019 Physics-01 (Keph_10405) Motion in a Plane Physics-01 (Keph_10405) TABLE OF CONTENTS 1. Unit syllabus 2. Module-wise distribution of unit syllabus 3. Words you must know 4. Introduction 5. Differential calculus 6. Integral calculus 7. Using logarithms 8. Application of logarithim tables for calculation 9. Summary 1. UNIT SYLLABUS Chapter 3: Motion in a straight line Frame of reference, motion, position –time graph Speed and velocity Elementary concepts of differentiation and integration for describing motion, uniform and non- uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity –time and position time graphs relations for uniformly accelerated motion - equations of motion (graphical method). Chapter 4: Motion in a plane Scalar and vector quantities, position and displacement vectors, general vectors and their notations, multiplication of vectors by a real number , addition and subtraction of vectors, relative velocity, unit vector, resolution of a vector in a plane, rectangular components ,scalar and vector product of vectors Motion in a plane, cases of uniform velocity and uniform acceleration projectile motion uniform circular motion. 2 Physics 2019 Physics-01 (Keph_10405) Motion in a Plane Physics-01 (Keph_10405) 2. MODULE-WISE DISTRIBUTION OF UNIT SYLLABUS 10 Modules The above unit is divided into 10 modules for better understanding. Module 1 ï‚· Introduction to moving objects ï‚· Frame of reference, ï‚· limitations of our study ï‚· Treating bodies as point objects Module 2 ï‚· Motion as change of position with time ï‚· Distance travelled unit of measurement ï‚· Displacement negative, zero and positive ï‚· Difference between distance travelled and displacement ï‚· Describing motion by position time and displacement time graphs Module 3 ï‚· Rate of change of position ï‚· Speed ï‚· Velocity ï‚· Zero , negative and positive velocity ï‚· Unit of velocity ï‚· Uniform and non-uniform motion ï‚· Average speed ï‚· Instantaneous velocity ï‚· Velocity time graphs ï‚· Relating position time and velocity time graphs Module 4 ï‚· Accelerated motion ï‚· Rate of change of speed, velocity ï‚· Derivation of Equations of motion Module 5 ï‚· Application of equations of motion ï‚· Graphical representation of motion ï‚· Numerical Module 6 ï‚· Vectors 3 Physics 2019 Physics-01 (Keph_10405) Motion in a Plane Physics-01 (Keph_10405) ï‚· Vectors and physical quantities ï‚· Vector algebra ï‚· Relative velocity ï‚· Problems Module 7 ï‚· Motion in a plane ï‚· Using vectors to understand motion in 2 dimensions’ projectiles ï‚· Projectiles as special case of 2 D motion ï‚· Constant acceleration due to gravity in the vertical direction zero acceleration in the horizontal direction ï‚· Derivation of equations relating horizontal range vertical range velocity of projection angle of projection Module 8 ï‚· Circular motion ï‚· Uniform circular motion ï‚· Constant speed yet accelerating í µí±£2 ï‚· Derivation of í µí±Ž = í µí±œí µí±Ÿ í µí¼”2í µí±Ÿ í µí±Ÿ ï‚· direction of acceleration ï‚· If the speed is not constant? ï‚· Net acceleration Module 9 ï‚· Numerical problems on motion in two dimensions ï‚· Projectile problems Module 10 ï‚· Differentiation and integration ï‚· Using logarithm tables Module 10 3. WORDS YOU MUST KNOW 4 Physics 2019 Physics-01 (Keph_10405) Motion in a Plane
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