Mathematics
Statics and Dynamics
Statics
Composition & Resolution Of Two forces
Force
Resultant of Forces
Magnitude and Direction of the Resultant
Parallelogram Laws Of Forces
When p & q are at Right angle
When p & q inclined at an Angle Ù
When p & q are in the Same direction
When p & q are in the Opposite direction
Components & Resolved Parts Of A force
The Component of F
Resolved parts of the Force
Coplanar Forces Acting At A Point
Resultant Of A number Of Coplanar Forces Acting At A Point
Proving properties to find the Resultant
Magnitude & Direction of the Resultant
Condition Of Equilibrium Of A Number Of Coplanar Forces
Magnitude & Direction of the Fourth Force
To Prove the Forces are in Equilibrium
Equilibrium Of Three Concurrent Forces
Problems involving Laws & Theorems
Triangle Law of forces
Converse of Triangle Law of Forces
Polygon of Forces
Lami's Theorem
â-µ Theorem
Ratio of three Forces
Tension In The string
To find the Tension
Prove for the Tension
Parallel Forces
Like & Unlike Forces
Direction, Magnitude & Position
Find the Larger force
Equilibrium of a Rod Supported on two Pegs
Resultant
If the Forces are Like & Parallel
If the Forces are Unlike & Parallel
To Find the Ratio of distances of the Resultant
Moment Of A Force
Varignon's Theorem
Generalization of Varignon's Theorem
Couples
Composition of Coplanar Couples
Triangle Theorem
Polygon Theorem
Resultant of a Force & a Couple
Dynamics
Motion In A Straight Line
Velocity & Acceleration Of A Moving Point
Expression for Velocity
Expression for Acceleration
Motion In A Straight Line With Uniform Acceleration
Equation of motion
Distance traversed in nth second
Distance traversed in t seconds
Motion Under Gravity
Bodies falling freely
Bodies projected vertically upwards
Maximum Height
Time of Flight
Newton's Laws Of Motion
Laws Of Motion
First Law of Motion
Second Law of Motion
Third Law of Motion
Motion Of A Lift
Motion of a Lift moving Upwards
Motion of a Lift moving Downwards
Effective Force stopping a falling body
Resistance of sand on a Body falling in sand
Composition & Resolution Of Velocity
Resultant & Components Of Velocities
Parallelogram of velocities
Resultant of two velocities when u & v are at right angle
Resultant of two velocities when u & v are equal
The Triangle of velocities
Resolution Of Velocities In Given Direction
When Ù + Ú = Æ/2
Sum of resolved parts of two velocities
Composition Of A Number Of Velocities
Polygon of velocities
Composition of velocities by resolving along Two Axes
Relative Velocity
When a & b are moving in the Same Direction
When a & b are moving in Opposite Direction
When a & b are inclined at an Angle Ø
Projectile
Motion Of A Projectile And Its Trajectory
Latus Rectum, Vertex, Focus, Directrix of Trajectory
Time of Flight of the Projectile
Range of Flight of the Projectile
Maximum Range of the Projectile
Greatest Height attained by the Projectile
Time Taken by the Projectile to reach the Greatest Height
Velocity Of The Projectile
Velocity at any point
Velocity at a given Height of the Projectile
Locus of the Focus of the Trajectory of a Projectile
Locus of the Vertex of the Trajectory of a Projectile