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Basic Differential Formula
Basic Integration Formula
Basic Logarithm Formula
UNITS
DIMENSIONS
Deducing Relation among the Physical Quantities
Significant Figures
ERROR ANALYSIS
Accuracy and Precision
Absolute Error, Relative Error, and Percentage Error
Calculation of Error from a Given Expression
Measuring Instruments
Screw Gauge
Zero Error and Positive and Negative Error in Vernier Calipers
Positive and Negative Error in Screw Gauge
Scalars and Vectors
Triangle Law of Vector Addition
Parallelogram Law of Vector Addition
Unit Vector
Type of Vectors
Multiplication Of Vectors by a Scalar
Resolution of Vectors
Constrained Motion
Wedge Constraints
Newton’s Laws of Motion
Types of Forces
Some Common Forces in Mechanics
Types of Reference Frames
Pulley-Block System
Pseudo Force
Force of Interaction Between Bodies
Friction
Types of Friction
Static and Kinetic Friction
Co-Efficient of Friction
Angle of Repose
Minimum Force Required to Move a Body on a Rough Surface
Equilibrium of a Body on Rough Inclined Surface
Motion of Blocks in Contact
Circular Motion
Angular Displacement, Angular Velocity, and Angular Acceleration
Uniform and Non-Uniform Circular Motion
Acceleration in Circular Motion
Centripetal Acceleration
Centripetal Force
Centrifugal Force
Conical Pendulum
Motion of a Cyclist on a Circular Road
Banking of Roads
Work
Conservative and Non-conservative Forces
Potential Energy
Gravitational Potential Energy
Kinetic Energy
Work done by Spring
Work-Energy Theorem
Mechanical Energy
Principle of Conservation of Energy
Power
Types of Equilibrium
Vertical Circular Motion
Two Dimensional Motion
Relative Motion
Relative Motion between Rain and Man
Relative Motion of a Swimmer in Flowing Water
Projectile Motion
Important points regarding projectile motion
Important Formulas
Motion in One Dimension
Position
Distance
Displacement
Speed and average speed
Velocity and average velocity
Acceleration
Instantaneous speed and velocity
Instantaneous Acceleration
One Dimensional Motion and Uniformly Accelerated Motion
Motion Along a Straight Line Under Gravity
Center of Mass
Semicircular Ring
Semicircular Disc
Hollow Hemisphere
Solid Hemisphere
Triangular Plate
Solid Cone
Capacitance
Parallel Plate Capacitor
Energy Stored in a Capacitor
Combination of Capacitors
Redistribution of Charges
Force Between the Plates of a Capacitor
Circuit Analysis
Dielectric Between Plates of a Capacitor
Insertion of Dielectric at Constant Charge
Insertion of Dielectric at Constant Potential
Capacitor with Variable Dielectric
Charging Circuit
Discharging Circuit
Series Grouping
Parallel Grouping
Mixed Grouping
Wheatstone Bridge
Balanced Wheatstone Bridge
Equivalent Resistance in Symmetric Circuits
Heating Effect of Current
Derivation of Joule’s Law
Electrical Energy and Power
Applications of Heating Effect of Current
Meter Bridge
Potentiometer
Electric Current
Types of Electric Current
Current Density
Drift Velocity
Ohm’s Law
Series Combination
Parallel Combination
Variation of resistance with temperature
Electromotive Force
Kirchhoff's Laws
Newton’s Law of Gravitation
Vector Form of Law of Gravitation
Gravitational Field
Gravitational Field Intensity due to Earth
Variation of g with Height
Variation of g with Depth
Variation of g due to the Rotation of the Earth
Gravitational Potential Energy
Gravitational Potential
Relation between Gravitational Field and Potential
Kepler’s Law of Planetary Motion
Orbital Velocity
Energy Of An Orbiting Satellite
Time Period of Revolution of Satellite
Escape Velocity of a body
Types of Harmonic Motion
Equation of SHM
Solution of Differential Equation of SHM
Velocity and Acceleration in SHM
Energy in SHM
Simple Pendulum
Physical Pendulum
Spring-Block System
Combinations of Springs
Torsional Pendulum
Oscillation of a Floating Body
Figure: H.2
We will find the equation of motion of a simple pendulum,
Torque on the body w.r.t the centre is given by,
If then
So the motion of a simple pendulum is a SHM.
Therefore, the time period of oscillation is given by,
Where is the length of the pendulum.
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