The moment of inertia of a uniform body with a simple geometrical shape depends on the distribution of mass within the body and the shape of the body itself. Here are some common examples: I = (1/12)ML^2 I = (1/2)MR^2 I = (1/2)M(R2^2 + R1^2) I = (2/5)MR^2 I = (2/3)M(R2^3 – R1^3)/(R2 – R1)…
The perpendicular axes theorems are a set of rules used in the study of moments of inertia, which are physical properties of objects that describe how difficult they are to rotate around various axes. The perpendicular axes theorems state the following: These theorems are very useful in determining moments of inertia for objects with complicated…
“Parallel” is a term that can refer to several different things depending on the context. Here are a few possible meanings: These are just a few examples of the different meanings of “parallel” in different contexts. What is Mechanics Parallel In mechanics, “parallel” usually refers to parallel forces. Parallel forces are two or more forces…
Moment of Inertia is a measure of an object’s resistance to changes in its rotational motion. It is defined as the sum of the products of the mass of each particle in the object, and the square of its distance from the axis of rotation. The moment of inertia of an object depends on its…
A rigid body is an idealized object in classical mechanics that does not deform under external forces. It is a theoretical concept that assumes that an object is perfectly solid and does not change its shape or size when subjected to external forces. In reality, no object is truly rigid, but many objects can be…
In physics, collisions between objects can be classified as either elastic or inelastic, based on how the kinetic energy of the system is conserved. An elastic collision is one in which the kinetic energy of the system is conserved, meaning that the total kinetic energy of the colliding objects before the collision is equal to…
In physics, an impulse is defined as the change in momentum of an object over a period of time. It is given by the product of force and the duration of the force applied. Mathematically, it is expressed as: Impulse = Force × Time The impulse is a vector quantity, and its direction is the…
Motion refers to a change in an object’s position with respect to its surroundings over time. It is commonly described in terms of displacement, velocity, and acceleration. Displacement is the change in position of an object from its initial position to its final position, while velocity is the rate at which an object changes its…
The center of mass (also known as the center of gravity) is a point in an object or a system of objects where the mass of the system is concentrated. It is the average position of all the parts of the system, weighted according to their respective masses. The center of mass is an important…
In classical mechanics, a system of particles refers to a collection of particles that interact with each other through various physical forces, such as gravitational, electromagnetic, and nuclear forces. The behavior of a system of particles can be analyzed using Newton’s laws of motion, which describe the motion of individual particles and the resultant motion…
