- #1
andyrk
- 658
- 5
Why is the angular velocity and angular acceleration(if the rigid body has some) same for all points on a rigid body?
haruspex said:Take an angle fixed by three points A, B, C within the body. As the body rotates, the angle ABC must be preserved. So AB and BC must rotate by the same angle. Differentiating, deduce that the angular velocities and accelerations must also be the same.
A rigid body is a theoretical concept in physics that refers to an object that does not deform or change shape when acted upon by external forces. It is assumed that the distance between any two points on a rigid body remains constant, regardless of any external forces acting on it.
The characteristics of a rigid body include: - It does not deform or change shape when acted upon by external forces - The distance between any two points on the body remains constant - The body is assumed to have a fixed mass and center of mass - It is assumed to be incompressible, meaning its volume does not change under external forces - It is assumed to be non-porous, meaning there are no holes or gaps in the body
Yes, there are many real-life examples of rigid bodies. Some common examples include: - A metal bar or rod - A solid block of wood or stone - A bicycle wheel - A tennis racket - A car or other vehicle These objects are considered rigid bodies because they do not deform or change shape when subjected to external forces, such as being pushed or pulled.
Yes, a rigid body can rotate. While the distance between any two points on a rigid body remains constant, the orientation or position of the body can change. This is known as rotational motion, and it occurs when external forces cause the body to turn or spin about its center of mass.
A non-rigid body, also known as a deformable body, is an object that can change shape when acted upon by external forces. This means that the distance between any two points on the body can change. In contrast, a rigid body does not change shape and the distance between any two points remains constant. Additionally, a rigid body is assumed to be incompressible and non-porous, while a non-rigid body may be compressible or have gaps or holes.