Impulse-momentum Theorem
Impulse-momentum Theorem - Related Videos
00:49
Impulse-Momentum Theorem
0 Views •
2023
The total change in the motion of an object is proportional to the total force vector acting on it and the time over which it acts. This product is called impulse, a vector quantity with the same direction as the total force acting on the object. By writing Newton's second law of motion in terms of the momentum of an object and the external force acting on it, and simultaneously using the definition of the impulse vector, it can be shown that the total impulse on an object is equal to its net...
01:23
Principle of Angular Impulse and Momentum
0 Views •
2025
The angular impulse and momentum principle provides insights into how forces applied at a distance from an object's rotational axis influence its angular velocity. It builds upon the crucial relationship between the moment of force and angular momentum. By integrating this equation, substituting the limits for the initial and final times, a comprehensive expression representing the angular impulse and momentum principle is derived. This principle encapsulates the definition of initial and...
01:21
Principle of Linear Impulse and Momentum for a System of Particles
0 Views •
2024
In the context of a system of particles moving relative to an inertial frame of reference, the equation of motion is a crucial tool for understanding the dynamics of the system. This equation, which accounts for external forces acting on each particle, plays a fundamental role in describing the system's behavior. Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
01:19
Principle of Angular Impulse and Momentum: Problem Solving
0 Views •
2025
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, then the final velocity of the mass for time t can be determined using the principle of angular impulse and momentum. Initially, a free-body diagram of the system is drawn to illustrate all the forces acting upon the system, providing a crucial understanding of the dynamics at play. Then, the principle of angular impulse and momentum is...
01:20
Principle of Linear Impulse and Momentum for a Single Particle
0 Views •
2025
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 product of its mass and its velocity, and direction along the object's velocity. On the other hand, linear impulse, also known as momentum impulse, is a concept in physics related to the change in the linear momentum of an object. Impulse is a vector quantity defined as the product of force and the time over which the force is applied. Delving into...
FAQs
For a changing force, impulse is found from the area under the force-time graph rather than by multiplying one force value by the full interval. The graph therefore captures how force varies during an impact. Comparing areas gives the corresponding changes in momentum, allowing the effect of a nonuniform force to be evaluated.
The theorem uses the net force because the object's momentum changes according to the combined effect of the forces acting on it. Individual forces may contribute in different ways, but their net result determines the impulse associated with the motion change. This distinction is important when analyzing an impact rather than focusing on one selected force.
When the force remains constant over the chosen time interval, impulse can be calculated as force multiplied by that interval. This direct form is useful because it connects a measurable force and duration to the resulting momentum change without requiring a graph. If the force varies, the force-time area provides the appropriate representation instead.
For a given change in momentum, extending the time over which that change occurs lowers the average force required. This is why safety designs focus on lengthening the interaction during an impact. The same principle helps explain how vehicle safety features and sports equipment can reduce the force experienced during events that change an object's motion.
First identify the object's momentum before and after the event, then determine the resulting change in momentum. If force and duration are known, calculate impulse with the constant-force relation when appropriate; if force varies, use the area of the force-time graph. Comparing these quantities checks how the collision changed the object's motion.
It provides a framework for interpreting rapid changes in velocity during collisions and impacts. In vehicle safety, designers can use the time-force relationship to reduce the average force associated with a momentum change. In sports, the same reasoning helps explain injury-prevention approaches that extend impact duration, linking mechanics to practical design decisions.