Introduction Projectile motion is a 2D motion. Common examples are football hit by a player, bullet fired from a gun, catapult, water coming out of hose pipe, mud particles thrown away from wheels of a vehicle, a high-jump athlete etc. Note that aeroplane/spacecraft are NOT projectiles, because the propulsive force can be adjusted after their… Continue reading Projectile Motion

# Category: Mechanics

## Applications of Vectors in Geometry

Vectors are such a powerful tool in mathematics and physics, that many results can be proved very easily and intuitively. Statement : If the diagonals of a parallelogram are congruent, then it is a rectangle. Proof : Let $latex ABCD$ be the parallelogram. Let $latex A$ be the origin. So, the position vectors… Continue reading Applications of Vectors in Geometry

## Curvilinear Motion

Introduction Curvilinear stands for along a curve. This is the most general specification of motion. It can either be two-dimensional or three-dimensional. Examples of 2D motions are motion of a projectile and circular motion. These involve motions along planar curves. Examples of 3D motions are a roller coaster, satellite launching etc. They follow a space… Continue reading Curvilinear Motion

## Circular Motion

Introduction Circular motion is a common type of motion and is a part of a more general set of curvilinear motions. In such motions, the forces acting on a body have a component directed along the radius of curvature of the curve towards the center of curvature. When the motion is circular, this force is… Continue reading Circular Motion

## Laws of Friction, Application in Pulleys, Brakes and Wedges

The Origin of Friction Friction is defined as the resistive force to motion, offered by the contacting surfaces. Another common observation is generation of heat from the contacting surfaces. The applied kinetic energy is converted to heat. The work done is $latex 0$, till the friction is overcome. The origin of friction is in the… Continue reading Laws of Friction, Application in Pulleys, Brakes and Wedges

## Statics : Trusses, Cables and Frames

The analysis of trusses, cables and frames is based on the static equilibrium of these structures. So, the equations of equilibrium are extensively used. There are certain differences as far as the definitions are concerned, but the analysis is similar. Trusses Structure of Howrah Bridge The Howrah bridge is a cantilever truss bridge, built in… Continue reading Statics : Trusses, Cables and Frames

## Rectilinear Motion II

Topics Covered Dependent Motion and d'Alembert's Principle Dependent Motion and Related Problems When motion of one body depends on the motion of other body (or bodies), it is known as dependent motion. Generally, these bodies are connected by a continuous, inelastic string. An inelastic string does not change in length under the load, hence the… Continue reading Rectilinear Motion II