Core - Mechanical Engineering

Chapter 14

Kinetics of a Particle: Impulse and Momentum

14.1 : Principle of Linear Impulse and Momentum for a Single Particle

14.1 : Principle of Linear Impulse and Momentum for a Single Particle

Linear momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, having a magnitude equal to the ...

14.2 : Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving

14.2 : Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving

Consider a massless pulley system consisting of a wooden box and a cylinder of known masses. Determine the speed of the attached objects at a specific ...

14.3 : Principle of Linear Impulse and Momentum for a System of Particles

14.3 : Principle of Linear Impulse and Momentum for a System of Particles

Consider a system of particles moving relative to an inertial frame of reference. The equation of motion for such a system can be written as the sum of ...

14.4 : Conservation of Linear Momentum for a System of Particles

14.4 : Conservation of Linear Momentum for a System of Particles

In a game of billiards, when the cue ball strikes a stationary ball, it transfers some of its momentum to the stationary ball. The cue ball slows down, ...

14.5 : Impact

Impact occurs when two bodies collide, resulting in impulsive forces being exerted between them. To analyze impact mechanics, consider two colliding ...

14.6 : Types of Impact

14.6 : Types of Impact

Impacts can be classified into various types. A central impact occurs when two objects collide head-on with opposite velocities aligned along the line of ...

14.7 : Impact: Problem Solving

14.7 : Impact: Problem Solving

In an experiment during a Mars mission, a rover fires a projectile with an initial velocity that rebounds after impacting the Martian surface. With a ...

14.8 : Angular Momentum

14.8 : Angular Momentum

Angular momentum describes the rotational motion of an object. It is defined as the moment of the object's linear momentum about a specific point O. ...

14.9 : Relation Between Moment of a Force and Angular Momentum

14.9 : Relation Between Moment of a Force and Angular Momentum

In a spinning top, applying a force at a distance from the center creates torque, which changes the angular momentum of the top, causing it to spin. The ...

14.10 : Principle of Angular Impulse and Momentum

14.10 : Principle of Angular Impulse and Momentum

The angular impulse and momentum principle provides insights into how forces applied at a distance from an object's rotational axis influence its ...

14.11 : Principle of Angular Impulse and Momentum: Problem Solving

14.11 : Principle of Angular Impulse and Momentum: Problem Solving

Consider a ball of mass m, attached to a massless rod of known length, subjected to a time-dependent torque. If the initial velocity of the mass is known, ...

14.12 : Steady Flow of a Fluid Stream

14.12 : Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries. As fluid flows within the pipe, it changes direction due to the impulse exerted by the ...

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