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Conservation of angular momentum

Conservation of angular momentum is a fundamental principle in physics that states that the total angular momentum of a system is conserved in the absence of external torques. Angular momentum is a property of rotating objects and is defined as the product of the moment of inertia and the angular velocity. In simpler terms, the…

Torque

Torque is a measure of the twisting force that an object experiences when a force is applied to it. It is a vector quantity, meaning it has both magnitude and direction. In physics, torque is often denoted by the symbol “τ” and is measured in units of newton-meters (N·m) or pound-feet (lb·ft). Torque is calculated…

Angular momentum

Angular momentum is a fundamental concept in physics that describes the rotational motion of an object or system. It is a vector quantity that has both magnitude and direction, and is defined as the product of the moment of inertia of the object and its angular velocity. The moment of inertia is a measure of…

Moment of inertia of uniform bodies with simple geometrical shapes

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)…

Perpendicular axes theorems

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

“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

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…

Rigid body

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…

Elastic and Inelastic collisions

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…