Clarification in concept of planar motion of rigid body

In summary: This means that the planes formed by the particles' motion are parallel to each other, and this type of motion is often referred to as 2D motion. In summary, planar motion refers to the motion of a rigid body that is confined to one plane and where all particles within the body move within that same plane. This results in the planes formed by the particles' motion being parallel to each other, and is commonly known as 2D motion.
  • #1
manimaran1605
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When a Rigid body is said to be in planar motion, if all all the particles in the Rigid body moves in same plane and these planes are parallel to each other.

I think i misunderstood this definition especially the particles moves in same plane and these planes are parallel to each other, does it mean all motion in two dimension are Planar motion?
 
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  • #2
Often they mean a body that is 2D, and confined to a plane; call the plane XY.

See http://ocw.nthu.edu.tw/ocw/upload/75/907/ch16.pdf

If the body is 3D then the motion (forces) are constrained so that the body cannot change its orientation ... like a table that can turn, but cannot be tilted or turned over.
 
  • #3
Nope.

Motion constrained to a curved surface is has essentially two degrees of freedom on how to move, that is at every point, there are two directions on the tangent plane you may move in, but at different points on the curved surface, those tangent planes need not be parallell to each other.

If you think a "curved surface" is difficult to visualize, think of a particle (or small cube/rigid body) moving on the surface of the box.
Essentially, disregarding motion along the edges, you have three non-parallell planes the particle might move upon.
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Planar motion, however, is effectively reducible to 2D-motion
 

Related to Clarification in concept of planar motion of rigid body

1. What is planar motion of a rigid body?

Planar motion of a rigid body refers to the movement of a solid object in a single plane, without any deformation or change in shape. This type of motion is commonly seen in everyday objects such as doors, wheels, and coins.

2. How is planar motion different from other types of motion?

Planar motion is different from other types of motion, such as translational and rotational motion, because it involves both translation and rotation in a single plane. In translational motion, an object moves along a straight line, while rotational motion involves spinning around a fixed axis. Planar motion combines both of these movements.

3. What is the difference between a rigid body and a non-rigid body?

A rigid body is an object that maintains its shape and size during motion, whereas a non-rigid body can deform or change shape. For example, a rubber band is a non-rigid body, as it can stretch and change shape, while a metal bar is a rigid body, as it maintains its shape and size when it is moved or subjected to forces.

4. How is planar motion of a rigid body relevant in real-world applications?

Planar motion of a rigid body is relevant in many real-world applications, such as in the design of machines, vehicles, and structures. Understanding how a rigid body moves in a single plane is crucial in ensuring the stability and functionality of these objects.

5. What are some common examples of planar motion in everyday life?

Some common examples of planar motion in everyday life include the rotation of a bicycle wheel, the sliding of a drawer, and the swinging of a door. These movements all involve a combination of translation and rotation in a single plane.

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